volum (u) fc corp m inneapolis h inn northern … · 2014-09-27 · a-partial phase 2 volum (u) fc...

A-PARTIAL PHASE 2 VOLUM (U) FC CORP M INNEAPOLIS H INNNORTHERN ORDNANCE DIV R RATHE ET AL APR 87

UNCLASSIFIED FNC-E-3841-VOL-D -PT-2 DRA21-8A -C-T 047 F/G 19/6

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Lightweight Towed Howitzer Demonstrator

Final Report

Volume Dl - Part II

Structural Analysis

(Less Cradle and System)

00

M~ April 1987 SP1

Contract Number DAAA21-86-C-0047

FMC CORPORATIONNorthern Ordnance Division

4800 East River RoadMinneapolis, Minnesota 55421

.. ,, | R, pp-' . -,S~g.. :- .. .

"THE VIEWS, OPINIONS, AND/OR FINDINGS CONTAINED IN THIS REPORT ARETHOSE OF THE AUTHOR(S) AND SHOULD NOT BE CONSTRUED AS AN OFFICIALDEPARTMENT OF THE ARMY POSITION, POLICY OR DECISION, UNLESS SODESIGNATED BY OTHER DOCUMENTATION."

~- ** .. .. 2 3 6

UNCLASSIFIEDSECUIRITYr CLASSIFICATION Of THIS PAGE (When Dots Entered)

REPORT DOCUMENTATION PAGE READ INSTRUCTIONSBEFORE COM4PLETING FORMi

I. REPCRT NUMBER 2.GOVT ACCESSION NO- 3. RECIPIENT'S CATALOG NUMBER

MY4. TITLE (and Subtitle) S. TYPE OF REPORT A PERIOD COVERED

Final report for the Lightweight Towed Final: 20 December 1985-Howitzer Demonstrator 13 March 1987

6. PERFORMING ORG. REPORT NUMBER

____ ___ ____ ___ ____ ___ ___ ____ ___ ____ ___ ___ E-30417. AUTHOR(s) 8. CONTRACT OR GRANT NUMSER(s)

Robert Rathe, FMC Program Manager DAAA21-86-C-0047Bart Anderson, FMC Project Manager

9. PERFORMING ORGANIZATION NAME AND ADDRESS 10. PROGRAM ELEMENT. PROJECT. TASKTMCCORORAION Nothen Odnace iviionAREA II WORK UNIT NUMBERSFMC ORPRATIN, ortern rdnnce iviionItem 0001

4800 East River Road LTHD Phase I and PartialMinneapolis MN 55421 Phase II

II. CONTROLLING OFFICE NAME AND ADDRESS 12. REPORT DATE

AMCCOM April 1987AMSMC-PCW-A(D) 13. NUMB ER OF P AG ES

Dover NJ 07801-5001 4,'85614. MONITORING AGENCY NAME & ADDRESS(if different from, Controlling Office) 15S. SECURITY CLASS. (of this report)

AMCCOM UnclassifiedAMSMC-FSA-F 1

Dove NJ 78015001i a. DECLASSIFICATION/DOWNGRADINGDovr J 781-00 SCHEDULE

16. DISTRIBUTION STATEMENT (of this Report)

Approved for public release, distribution unlimited.

17. DISTRIBUTION STATEMENT (of the abstract entered in Block 20, If different frain Report)

Same as Block 16.

IS. SUPPLEMENTARY NOTES

None

19 KEY WORDS (Continue on reverse ide if necessary and identify by block numd1lS5nI towed gun howi tzer, advancedWeapons, compositq cradle, composite hydraulic actuators, composite trails. field artilleryWeapon, firing stability analysis, howitzers, hydraulic control valves with force feedback,hydraulic joystick control of gun direction, hydraulic inertial raauter, hydraulic opening breech,hydraulic primer autoloader, 1 4(Ti~~ load out of batteryhowitzer, mortar howitzer, recoil energy recovery, recoil mechanism, wsip.metal matrix compo-sites, titanium muzzle brake. titanium platform, titanium spade, titanium walking beams, thermal

zostability, toigstblt analysis, unconventional weaponsamr-wcf20. ASTRAC (Coninue n reers sde it negcesesry and Identify by blocknubr

-The LTHD (Lightweight Towed Howitzer Demonstrator) was to be a 9,000 lbequvalntto the 11198, transportable via Blackhawk helicopter, with

r educed emplacement time using fewer personnel. The FMIC design achievedweight reduction via a mortar-like configuration, composites structure, andhydraulic actuators. Recovery of power from the recoil system, in turnfacilitated crew reduction via hydraulic emplacement, four-way Joysticktube lay, and over ramming. FMC completed Conce t Development (Ph I)and

DD JA 73 1473 EDITION Oir I NOV 65 IS OBSOLETE UNCLASSIFIED

SECURITY CLASSIFICATION OF THIS PAGE (When Derie Entered'

j TABLE OF CONTENTS 0I/050

UVol/Sec Description

Dl Structural Analysis less Cradle and SystemDi/050 Table of Contents01/060 Computer File InventoryDl/100 CollarsD1/120 Equilibration Link AssemblyD1/130 Fire ControlDI/140 6imbalD1/150 Inner Breech Band01/160 Load ConditionsDI/170 Manifold Torque AnchorsD1/180 Muzzle Brake (titanium)01/190 Outer Breech BandD1/200 PlatformDI/210 RailsD1/220 Rail-to-Collar ClampD1/230 Slinging and Tiedown ProvisionsDI/240 SpadeD1/250 Speedshift AssemblyD1/270 Trail, Travel Locks, Firing LocksDI/280 Trail Bulkhead01/290 Walking Beam AssemblyDI/300 Wheel Hubs

Acn.i Tcr

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I

bI/200

PART NUMBERS: 12585800, Platform Weldment12585801, Platform Machining

DESCRIPTION:

The platform is a machined titanium weldment and has a currentweight of 352.9 lbs. Major load paths through the platforminclude: the upper and lower sections of the gimbal viaTorrington bearings; the spade attachment on the platform bottom;the slinging provision attachment on the sides of the topplatform section; the trails at each side and the traversecylinder at the lower rear of the platform.

In addition to the platform design being driven by the loadingconstraints, the shape is driven by C130 envelope constraints andalso the clearances required during gimbal (and fire controllinkage) traverse.

A design approach Similar to that of the gimbal was taken withthe platform in efforts to minimize weight. Efforts to date havebeen to minimize the weight of the platform by generating anoptimum configuration throught the use of FEA models and handcalculations. Further weight reductions were envisioned byplanned structural testing.

A summary of platform load conditions and structural calculationscan be found in the following pages of this section.

STATUS:

All design and drawing requirements for the platform have beencompleted. Drawings for the platform are found in the TDP.

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PART NUMBERS: 1258596:, 12585964, Left and Right Hand Rails,machining12586016-001, Rail Extrusion%

M DESCRIPTION: RAILS

The rail system includes the left and right rail and five collarF sets as well as the clamp plates and nuts and bolts used in final

assembly.

The extruded rail material of 7090 Al/20 v/o SiCp was chosen toprovide an appropriate factor of safety and minimal deflectionunder the worst-case loading condition of a cook-off occurringbetween battery and load position. For this condition a factorof safety of 1.99 and maximum rail deflection of .17 inches isobtained. This stress and deflection analysis can be found inthe following pages of this section.

STATUS:

Both the left and right rails (TDP, Dwgs. 12585963, 12585964 -- machining, 12586016-001 - extrusion) are dimensioned and

toleranced and are supported by a complete finite elementanalysis.

AUTHORS: Joe Fishbein, Joe Turek, Scott Dacko, Dave Warwick

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RAILS

: The rails attached to the barrel carry the loads generated by riflingtorque to the manifolds in which the barrel/rail assembly travels. Theworst case occurs during "cook-off", with the barrel part way between the

-, * loading and firing position. In this condition, both manifolds arepositioned over the rail at points midspan between collars, resulting inhigh bending loads.

This condition was analyzed with a Finite Element model of the barrel,rail and collars. The barrel is supported along its length and is free inaxial rotation only. "Rigid" arms, representing the collars, connect thebarrel to the rail, and are attached to the rail in the three translationdegrees of freedom only (no moments transferred). The rail is simplysupported at the manifolds. One-half of the 48,000 ft-lb. rifling torqueis distributed along the barrel.

This model was run several times, to determine the worst-case positioningof the manifolds, and to try various rail geometries and materials. Thefinal section, which resembles an "I" and is made from 7090-Al/20 v/o SiCpAluminum Silicon Carbide (Yield strength = 95,000 PSI), has a maximumbending stress of 47,695 PSI (FS=1.99). At the collar attachment, wheresome web material is removed, maximum bending stress = 30,8Z5 PSI(FS=3.08). Maximum deflection is 0.170 in.

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FMC CORPOF'AT ION S/N : 8,-)0484

J o b I r, fo r m a t i o n-I

P roject LTHD

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Job Name : Barrel Guide Rail

I Remar s : Intermediate Cook-off

Al-7.9(0) w/20% SiC

U Engineer : -

3. Fishbein

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1 1 .,44 88E+"' . '. ' C)E + ) '' 0 .':'. ',,,E +'C('

E 1 1.5 "EIOF 7 . I ' t E + I I-:i Kl iK tF C I

70!) 1. r'878-'3-F .,'-" 1'. ')9"1'I lE'I'T'' K. '7~':9tF+.' 9

, 1 1-+ C ()' .7S E '7' K. 00' "'' 'E '' . '''"''CIE 4 f

1 1 77 15 9 F+nPi C. I-) ''('E+(": .+' 'ho(-E +(

C' 27'- 1.81 5.5T F I" ()' iI'It"'I +7) " ('"':"'lIE + 7i

:" . e; 1 4 BE +i ' K. C' '- ,.)IE + ' C'. C'i)t:lE +I').'

:V.. .4".('. -tITE+,tE +, t'

1,76 9' '47. S-- -I' '. 9i Ei +CICE +"1 C'. 7m,.,Il , 4i I" ~' 1 --4 - C;:E IA <'.t, ),-I (E+ " . ,(,:,E e "

... ,~ ~ +6 '. ,4 E+ 2 CI,. (',_,), E + C)+ I C. ('00,I')I'IE +,-'

7 7 2. 1 99[7+ '9 '. (1 9? E ,++ ,(* F +C I,)I. IE +,0:C,

A+."

t

if

__ * SS - *,

CF I I

,...

HE C (EDMFTF, HerE, 1. E_-.F /6ct

i LTH't, are1 :k rAiI Ln d r ri lir, n torqe Ioad

Node C oord - C oor d Z- oor d.

Z ~~ ~ 1. l Eiv5 1( '2 . ':>.L E '" -7. *,7,,,,'E ,.-., - , (-. - -) - -- - 7 --- --,- ., -- - - ,-

E. :, l . " ''IF + -7. F75, E +

F -41 . .. ..... I"E+(-) -7. -75 )E+1,,1

* 7 1 . .I9 ,1C'-E+,., -7 - . i5,,IE +C-,

II' iiI

~~ E"I + •l I- I'II C,. 1C, I' I") ''' E+ 1'" -7 .: ','' + (

FC.7t* -7. -71TI)E

P E ;4t- F rCFPE R T I E9

, t li e,- c- (FoA AISC d&t abse properties only)

V FrrV X--tIof, Moment of Ir, ert I a Torsiona]r4*. yrc, / Iz Const.- J

ST.71 7 E4, 7. 5.IE- I 1 + C1E+9 2.).EF--)176 -,E+,1 6. 1G&E -(2 . 1B E+(2 1.277E+0:.

- + : 1 5. 7It- F+C,4. 5, 27,,E+02 I 0 55E+ C_4 4.4 7.4E ,1 627E +2 7. 627E + 2 7. 25-E + 2

I. 17E +'"1 . T,"E +C2 62() E+C2 5.24 1E+,2

F + 1. 2. 1 1IE+,1E + I 11E+C2 4. 221E + .27 . -I'E' + I I .6 -"2E +(.I- I 6L, E+C)-_, _..-2 L+E C.:

6 1 . (."WE '_. 1 .)" F +05 1 ( , E +0 C)5 1 . O0(CE4-05

Fr F M. F ber b DSt Shear E hape Fact

,-: S.',, / Cz SSFv / 'S z Cto--s

t, IF -( I71,C)E+ '1 7. .'E ' 7.,' E-<1 1• 1 +'O0 . 18++') 1. BE+'+,

44E*" , . 44F+ I B, CE 4 ( ) I 89E. ' ' 1I ( E*+'I, . ,°+ 7. •~E9 I 8ECK1. BE 1.S 4. E'E' ,E 4.4E*+' . REE (+ ', 1 .R9E (- i I.

5 4 . %F+ ' ', 4. 5,7. ,:I' 1. 89E+,,, 1 . 99E+', 1.•[) +)'& 4. E 4E+( 4. - E'+ , I .+(W+"" 1 . RE+,), 1. C)IE+0o7 4. '-F+ , 4. F-(, I 1.8 F+; 1.89F+&' 1._j . , - I' , E + " ". F

.. 4 . *. -'F 4 . + 4 ,i F4J,

%.:

Fv. t' . r)l. .4T I n(t S 'i: P-,, o4714 CO-:EG- I P&7 [F ;AGE

... ..... . . I M A G E S P D .

- c'; y,- 1i It ( I) I E4 IE e _tIE( Softwv re Ic. =

CHEFk GEOIMFTPY Versi cn 1. 0.//86

LTH. blrrel and r ll Urnder riflini tor-que load

REAM CvtiJtECTIVITY

t ec Nodes Frop Me'.t Pincodes Y r ir Cosines Beam

No Fromr To, REf No Nc I / 3 Lengt t X Y Z Tylpe

1 2 7 1 1 1 7. 2()0E+0( 0' . )) 1 . (o( 0. '' Be&n,

4 1 1 1 7. 206E+00 0]. ok) 1 . 00 (). 0C) Bea

, 4 5 1 1 1 7. '200CE+. C,. () 1 .i) C0. C.-; Beam

4 5 6 1 1 1 7.2C(])E+00 O. 0 1 . 00 ) .00 Beam

1 1 7. 20CE+)0 (1. 0 -). Cr Pe

7 8 1 1 1 8. 828E40 () 0. (0 1. () ().(;) Beam

7 6 9 1 1 1 8. 628E +00 0(. ). ) I . )0 -). C) k eamT

8 1..') 1 1 1 B. 828E + 0 ( ') . 00 1. (Q:) ('*. 0 Beam

S11 1 1 1 0.02E:E+u . O 1 0) Ot Be -,m1 0 1 1 12 1 1 1 9. 42"2E+0') U. ( 1 . () (. u0 Beanr

11 12 1-, 1 1 1 ;.422E+0 .C).00 1.0) C).00 Pe--rr

12 17 14 1 1 1 9. 422E+0C) 0. 0C) 1. 0' 0. 00 Beam

13 14 15 1 1 1 9. 422E+C) 0.00 . 0 0 0. C Beam

14 15 16 1 1 1 7. 2.0E+00 C). 00 1 . )0 0. beam

15 16 17 1 1 1 7. 200E+ C) 0. C) 1 . C0 0. 01) Bearn,

16 17 18 1 1 1 7. 200E+CV) 0. (, 1.00 0.0, e am

17 16 1 1 1 7. 20C)E+C)C) 0. 00 1 .00 C)00 Beam.18 19 2 1 1 1 7..2'E+)') 0.00 1 0)( .) Bem

1 9n 1 1 1 1 7. 590E+(')C) 0. 0C) 1 . '0 0. (0 PeEm20 21 1 1 1 7. 59()E+00 0. 00 1 . 00 0. C0 Beam

2 1 ~ 1 1 1 7. 59 1 E 40 0. C) . o B) e L, 8 rn22-4 1 1 1 7. 590E+C)0 0.00 1.00 0.C00 Beam

27 -4 1 1 7. 59C) E+ C .( 10 0. I 0-0 Beam4 1 1 1 7. 590E+0) . (0 1 . 00]) 0. 00 Beam

25 26 27 1 1 1 7. 591E+-C) 0.00 C . .0 0 Beam

26 27 28 1 1 1 7. 590E+(')('. 00 1. 00 0. 0C ce) m

27 2 29 1 1 1 7. 590E+00 0.00 1 .00 0.00 Beam28 %,_ 31 2 2 2 . 60,0E+0 1 0'. 0..0()' 0). 007 1 . 00(). Beam

29 31 32 :_-, 571 E+01 . 0)): (. I 0C, Beam

.'i - 2 4 2 .. 769E+01 C). ().00 1 .00 Beam71 7 4 2 5 2 . 477E+01 ( '). 00 ). ) 1. 0C' Eeen,

:.2 74 . 2 6 2 477E4-C)1 (). 00 0. 0)) 1. 0)0C Beam

7-,' , 6 2 7 2 7. 477E+)01 00. ) )) 1.00 Peamr

74 22 8 2 456 7. 75E+C)0 1.00 C. 0 0.00 Beam

.- 1 7 2 8 2 456 7. 375E+00 1.00 0.00 C). )C) Pcarn7b 7- 11 29 8 2 456 7. 775E+0)) 1 . )0 0.0 ':). eam

71 2 ;S 8 2 456 7. 75E+C)C) 1.0 C) . (C). o EaM

78 76 - 2 8 2 456 7.T75E+0C0 -1.00 0.0) 0.:)4: Bea

B

r", N"

L a m - "Ie Q'lwl .%"- '- " ""a." ""4 - ' ' ' "- " e,. .. ... '

F C 'l L)-,T I I rA -N: E. k. 4 :1-LE:= 'E 7FAGE 4

I r-1 A G E S U.Lopyrigtht (c) q'DA Celestial Ec,4tware Inc.

CHEC GEOrIETRY' Vers n 1.7 7/.1 /86

LTHD barrel and r-al under riflincg torql.e load

NODAL CONNECTIVJTY

*** WARNING - Node 1 not connected to env element ***

RESTRA I NTS

Node RestraintNo Directions

1 X Y 2 R x RY R Z

18 - Y - RX - -

:0 x y' z - ~ l p 7

I X Y Z - F7. X Y Z - RY RZ

_.. X Y z 'Y R Z

74 X Y Z - F:',' F'Z75 X Y - R'" FZ

7 6 X Y Z - R", RZ

,'

---S.. . " ' " " " ' ",, , ,- , 'V "" , ) "v" .'."

FrIC C0 F OMf ST-r'l / N: G )04- C) 1 (4 ,- Z - , 7 :PAGE 1

I M A G E S - DCcpvright (c) 19E44 Celestial Sottwtre Inc. =

RENJMSEF NCIIES Versi on 1.7 03/01/86

LTHD barrel and rail under rifling torque load

Node RerUmberinq Cross Re-ference List

Was Is Was Is Was Is

1 2 4 24 1 5 6 57 7 8 9 9 11

10 14 11 1 12 171- 21 14 19 15 1616 2C) 17 8 2519 27 2C0 29

22 3 2 5 2 4 3425 32 26 30 27- 28

:8 26 29 24 61 8 2 10 12

74 15 5 18 76

Original Nodal Band 29Final Nodal band 5

I

PV

J'.,W

Fmr COF;PO AT IPN S/N: Pk:0(494

---------- ~~ I M A G E S =D............~-Copyrjqht (c) 1c;04 Celestial Software Inc.

I ~~SSEMB~LE STIFFNESS MATRIX Vers~ion 1.7.0:018


STIFFNESS A-,EMEDLY' SUIMMARY

Number of Node Points..................... 36Number of TrUSs- and Beam Elements ..Number of Plate Elements.................. C)NUmrber of Sprinrg El ements.................0CNUmber- of Nodes with Restraint...........1)Nu mb er of 81 oc Ls in the Matri 1 ... .. .. .. ... 1

.- 4 BLOCF NUMBER 1

FORMi MatrixFACK Matrix:Si-e = 16606 Bytes~TRIANGULARIZE Matrix

Nomber of t-erms in the- matrix. 20(:76Largest column........................ 2 4MinimuILm Diagonal Sti-ifness, = .14 65925 F)+0C6MaXimum Diagonal Stiffness = .11 BCC78)+ 13

% %

FMC CORFOFATION S/'N:8,t',4P4PAGE

I M A G E S 3 D

= Copyright (c) 19a4 Celestial Software Inc.

ASSEMFLE STIFFNESS MATRIX Version 1.3 0/01/86


vp C R 0 S S R E F E R E N C E L I S T

Is Node Verus Internal Equation Number

!s IRANSLATION / ROTATION

N -,de Eqn. Eqn. Eqn. / Eqn. Eqn. Eqn.------------------------------/-- ---- ---- ---- ---- ----

1 1 2 . 4 5 62 7 8 9 10 11 12

3 13 14 15 164 17 18 19 20 21 22- 2-3 24 2- 26 27 286 29

77- - -4 35

9 37 38 39 40 41 4210 43

11 44 45 46 47 48 4912 501 5 52 5- 54 5614 57 58 59 60 61 6215 6316 64 65 66 67 68 69

17 70 71 72 73 74 7518 7619 77 78 79 8() 81 8220 83 84 85 86 87 8821 89 90 91 92 93 94

952. 96 97 98 99 10- 10124 102 103 104 105 106 10725 108 109 110 11126 112 113 114 115 116 11727 118 119 120 121 122 123R28 124 125 126 127 128 129

29 130 131 132 133 134 15136 137 13L 139 140 141

31 142 143 144 145 146 14772 148 149 15:) 151 152 153

AT. 154 155 156 157 158 1594 160 161 162 163 164 165.5 166 167 168 169 170 171

7..

FMC CCORFOR;,TION S/N: 8004-94 01 -2-E7

I M A G E S D .

= Copyriaht (c) 1984 [e]est] Software Inc. =

5 SOLVE DISFLACEMENTS Version 1.3 03/01/86

LTHD barrel and rail under- rifling torque loadp.

L" 0 AF C A SE I

Cood-off in load position

-,i CONCENTRATED LOADS

Node Fx Fy Fz Mx My Mz

3 .0n (E +Ot:' . :1,:IIE+,9 C )0" 0i E+N6 . 41 12E+i5 . OC0CCE+:CE) . 0

:2 .1 (()E +:n( . 000:0E+00 .::E+00 . 4112E+05 . 0:O000E+00 . C)C)E+CC33 . O::...E40 . 00COE +o . (:)t000E+ 00 . 4112E+05 . -COOE+0 . E+34 . 00L):E+)0 . 03"OE+00 . E 4112E+05 . 0000E+00 .0 (0E+00,5 . 'I0E+00C . ~)()c00 E4 .( + 0 )- . 41 12E-+05 .O000E+O0 ..0( CE+ u6 .0000E-c O . C): . 00 E+C)C) .4112E+05 . :4E+O0 .C0)0Ek0C)

.P

-t

, .

S

* 4

FMC CC FFDF, ;F-T ION S /N : /6;.'04 64 PAGE

- I M A G E S D= CLpvright (c) 1984 Celestial SrftwEre Inc.

5 SOLVE DISFLACEMENTS Version 1.7 (-./01/86

LIHD barrel and rail under rifling torque load

LOAD CASE 1Cool -off in lco'd position

APPLIED LOAD VECTOR

Node F% Fy Fz Mx My Mz

C, C)_3(: C ) E + C, C C) +0 0 'C- -)QC) 'E +(") C) .4112E 1} E -((-'E+(C)' C . C)C)OE +0C

031 0 C E + c .CE +C)C) OC C) E + C) .411 2E+005 C. 0E+0 .O000E+O

2 .0000(:)c)E+cH0) . :E+c) 0 C E+ 0 411 2E+05 .c)0cE+0C C. CCCE+O0---- -- --- -- C00E)C E0O + C + CC C, E 0 .4112E+('5 + C CO + C .O 0+ O

-4 0(. O00 E+C )i .) -O000E+iO- c. Oc) 0QE +O(C) .411 •-)+ •c00 -C) C1 E E , ,+C":C (:J)(:))E--() 411 2E+()5 (0 0E + 0 00C) EE+43 64 .)( C'E + ) E + C) 0 C) E + 0 41 12E+05 0 0 C) (0E + 0' 0 C. 0E +' 00

i:) ,,55 (.0:0E+00U( .0000)E+00~( * C:)(C)(CE+c):) .411 2E+0C5 .0(:C)(00E+00. O:C)E+

.1*"

.'

.

C " . . ' '° 4-

FMC CnRi DFA'.T]OIN £':s:5i0-26-87 1PAGE

T M A G EL 0-

=Copyright (c) 1964 Celestial Software Inc.=

4 ~SOLVE DISPLACEMENTS Versi on 1.3 0/16

LTHD barrel and r-at 1Under ri fli ng torque load

LO0A D C A SE 1Cook-off in load p .- ition

DI EFLACEMENI S

T r ansi1 a t i o ns / Ro ta tion sNode X Y Z / X z---------------------- ---------- ------ /---- ---------- ---------- ---------- ----------

1 .)-C)+-)- 000 C) 0C)OCE+ 0 0 0C)CJ)(E+0-C) /.:0C)0E 4o OC)E+00 ()(), .) )E 0C)2 C. 00E +00 C . 1: 1 02E+00 . 0-E+(-0 31,8 1 0 .C 0020 . 1 01 4E-01

7 000C0E+00 -. 5805E-01 . 00I-E+00 / - . 225 E- 10 E. 00020 . 861 OE-024~-- 00E0 -. 74E-2 .00E+0-0( I 067E-10 . 0000)E+00C . 40-3 1 E-02

5 00002).-)+00( 0 COOOCOE + 00 C) C)OOOE+00+(:(: /) .) ()+0 C. O E +0)) - .1 360C1 E - 026 ~ ~ ~ .. 0:O+0-59E01 00E +00 - 1 7502-I 1 0 . 0000+00-) 9 14(402-02

7 OOOO)CE+00 . 137162+00)C W0020 ) -)50-0 .002 -. 74E08 00002--)+00 - .1 697E+('0 .... 002+00 4 - .4372E- 1 0 . 00002C)+00- 0 2'47E-02

9 . 00002C'+00C -. 1 699E+00 C. C0020 C-' C- .C 51 73-E- 10 .)IC 0002E+0 C -C 11 20E-0210 C) 00E2+0C)-0 1521 lE+00- C ) )C E 00+0 ) - 60 1 0E- 10 C) .) EO+E(0C.) 20'472-0)211 . :00+ -17-60E+00 CC .)CE +0C.)+C0 / -. 6847E-10 000+0 .77-66E-03

*W 1 2 .(OE+0 - 1 401E('t 2#00 . 0002+0 / -. 6297E- 1 0 0000)(E +0 - . 1 007E -02E 00+00 -. 1 527E+00W 000E+00 / - .5746E- 10- . COOOO)CE+0 - . 1054E-02

14 C) C)0 0E +0 -.C 1576E+00() )C)C . +00C2+0 / -. 51 96E- 10 . O 00CE+00 .) 5964E-0-715 . 00:'02C)+C0 - 173932E+00() C)C 000+0C / - .46462-10) . ':)OOOE+00 . 3947,E - 021 6 . 0000CE+00 - . 9973E-- 1 .) (00C00 E+0C / -. 30992- 1 0 .00C00E + ()0 . 62E -0217 C)0(00E+ 0 . 4676E-01 . 00002f)+00( / -. 1 549E- 10 .00002+0 .6920

1e 8 .OOOO~-E +C0 . -O-Q C)E + (:002+0 / 00002 C +00 a 00)02E+0 C..C 57822-0219 OOOO)CE+00(- a3450E-0 1 00002):)+00(: i/ . 1 27E- 10 a 00C0C02 E+0 C .C 3 88GBE-C)23 20 a C)OOCE+00)( . 5599E-0~1 .- CI))E+C-)0 / 24514E- 10 a 00C2C) +0C 2-1 662--221 a) C)0E2+0 . 6591E-01 C.C -)C +000)+C / 7,7462- 10 a) .0 C C) C)e 1C-

2- .0000E+00 . 64202')-0 1 .WC 00+0( / 0 412E- 10 a ) ('OOC'E+C0 - . 866E-0T)23 a 00002E+00C a 52322-01I )CC 00E2+OCUC / .6 7715 E -I C) C'0,,C'E+O - a 214 4E2-C(2

24C . E0(0+7) 317 12-01I . 00'E+(-:C / -762-9E- 10 . (0002c +00 -. 31962-0.225 00002)-)+0C(' a 3826E-02 00C002 E+0C0C / 8 9 22 E- 1 0) --- E +0)-a 4(-6(--E-0-26 0002+ 9672-01 a 00+~ /) -) 02 2E- 09 . ()020 -+ 473C02-0227 000~0-.6797E-0 1 10020 / 15 1 E-09 . 0E + C0- 52(-9E -(o2

28 a 00C20 1 ':E69E+'D0) ) 00+0 /) -/ 1 2602-)-(')9 a 0000+00": - .5496E-02

29~~~~~~ + (0020 C) 53+0 0XE0 / -. 141 CE-')c? -- E00+00 -a5592E-02

-0: E~ a 0 : C .)C) C. Ch)) E + C)( C) 0C) C)E+CC) / .17772-C' 1 C):(:C)E + ) :) 0 (C) C)C)E +t 0S1 a (:H)C) C)E +rC) a 'C) () E +) C (H)+() ' .1 765E-0~1 a .)( :hE+C0() a c '. L)

(-)0-)(-PE+C)C) )))J)EtC a) %C():EE(.: E + 1) 64C-C 1 E+((-:)E+:na~ ~~( C.) C, E) +0 a) CE C) a 0E~ 0+ / a.1 84E-01 .)).. )a00)2

4 a C~r')EC (' C) C) ):F++C)) a C(:EC) ) / 99- i .C)C)(:)C)E+C-)0 IC()CE) ~714 r): )CE+0)() C:c C) r C) C) / a 0 15 E 0 0 C)v. CI a ) o~ E +o a) 0 )~ #)

36 a , uC tE +0) . C)JCU) E + C a ( C) CE + t.! a 7(5 E- 1 CI C() C~) E+ )(C ) ()) - +2 .)

S Je

r vr-a. \a0P ,a = a a-\.~ aaW ~ ~ a : <~

FMC CORPF"k4T]ON SN : 8G)-u4 & 4 C)I -2-/

=Copyright (c) 1984 cl CsEtiea] Soitwa-re Inc.

ASOLVE BEAM LOAE'S/STRESSEE Version 1.3. 03/01 /86


S Load Case l:Cool-o-ff in load position

BEAM1 LOD AND/OlR STRE.SSES

L-Loads Node Axial Y-Shea-:r Z-Shear- Torsion Y-EBending 2-BencinoP, /Stres

***DEAN NO. 1***

L L cad s . -0CE ) -9774E +04 ). oooo E+C00- . i74E--5- C. 0()E + C- . 70 CT-7E + (6'-Stress 2 ) .C)C)C)Ec43 C).1103E +04 C) C'C)0C)E +0 . 6C9E-0 105SOE -0:6 . OOEStress . C)0C) C 0 E + C i 3073E+04 .)( )C U QE +0 -) C) 999E-(-05 -. 15902E+05 .00I002F+i00(-

***BEAM NO. 2*I-LLoeds 7.)C 000E2+0 -. 9774E+(-4 I30 E+3- 74E-05 . 0 C) C)E + (3 . 707E +cIL.oads* 4 .5, -/4E+(",4+ 4 . - I) ) E-f+ .) C i 67E-0:5 CC-C) . ) L UE +;( -C . 1 4072+&)Stress .)C ('00E + C) C- . 1 032 E+(34 C3:h:30C)C0E + C) C. 87992 -(3-5 -. 1 59o-E +Os- . (:3)C3E+C0Stress 4 . OUOU(-E+0C) 7 131 ,E+3C.) 4 . )C)( .UE + ( . e999E-(')5 -3 .:):E2+0C5 .' E(02 K

***BEA#'M NO. 3.***L-Loeds 4 .) ~0 C C + (', - . 9 74E+04 . 0C:0E+C0('- 1874E-05 f ,C . -) ( 04 0 1 407E40C6S I-Loads .1 000+0 . 9774E+04 . 000+0 .) 1874E-05 .0020 -. 2120Stress 4 .00+0 -)C C C . z) 71072+04 . uu+0 .8999E--( .168C 5 0:3EUStress 5 Z 10020 07. 1E+04 C. C)000C2+0( ( . 8999E-0'5 -. 4770.E+05 . 002

***BEAiM NO. 4***L-Loa ds 5 CC E . 1 C-)2K C.) 21 7E+(5 .70:20 097E-05 .)C C 00+0 C)C 21 11 2+"('5-L.[Loabs 6 .) (-I02 +0 -) . 23 -17 7+0C)5 C.) C0002E+0 - 07E-05 . 0)2+0 C- .7 44 28E-- oStr ess)X C) . 00+ C) .73:57E+64 C.C)C 0(E2+0 -C . 1 482")-0:4 -47702E+05 .

Stress 6 . )C 000+0 .C 37+4 00+) - . 620 10 C5.0):2p***B-EAM NO. 5***LL.ocads 6 ((('00+00( .21 7E +f5 .))+)' 400Eu . 2()7-3 . 4:0020 .- 44 +5

* L~oa..7 . .203-.217+5 .020 . 6:c7E-05 c).OE00.12E

Stress 6 ')C0E + 00C 73-57E+04 . 0J02E 3:: - .1 4622-04 -. 1 001 E+(+05 . )2 E:g Stress 7 .0'20 .73572+0)4 C) 6 E 2+0C.C --. 1482-0('4 .2769E(24-C05 C C . .) 00+0

*r*BE2)M NO. 6**-bp LLoads 7 C. 0E2+0 -) C. 4764E +---4 0 0 020 .' E 20(:42-0-5 . -E00+(-0 . 1 226E-.)6

* LLo ds C1 6 . oI-o:32+oo( . 4764E+0'4 .12:3.04E-(+50C- .C12042-05C. ':0+0(-00 . ) E:04 C-',

Stress 7 . 30233)-.151 22+C4 C.C C0(' C.) E0+ -) . 5j780-3:35 . 2769E+:35 . 0C0K3'3E-',0Stress .UtK33 0: 5 2+4 .0U:233 57602-3:35 .161 9E .0)5 . (W'0,CE41

* **EAM NO. 7**.

L, L Loa ds 2 :KoE3U- .4764E+(--4 C. ')C E 4 Cr C 1 204E-0:5 . QU)23E + C .C)~ EL-Loads 9 . ('2 0 . 4764E+0-.4 . 00 0-.i20)42-05 .00 +oo2o . 3842--

N St r es S. 6, 2) C)0 C- C. 151 220 + UU S00 7 . C73) E-(05 .181c92E:6 . o IF 4 CK

S Stress 9 )I.) C)K2~0 -+ C.)23) I 3.K3) K3 576(.'-0S .8662+t'4

.

***DE5gM NO. 8-**L.Loa~~~~~~~~ ~~~~~ -3('233)-.4~4 31 3::(3 . 1 20C4F -305 C) 0 ~E~'3: + C C) 42

I-LL.oads 1':' C C C. 003324n .+7420 C. C0O 3 + . 1 -0:5 .00'02'(')O 4 1, 3~DE,

Stre('s F (3O 4-+U C . 15 122+0C4 -7 PU0 0 -. , 7pF C, .-i 86862+C4 4 '' .

St r 5 I Co . oro) u )3) - .11 2-' -4 .oofIQfE + C''-.S7 0 -5 -. 615 ' J)''L -4

'.4.4

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SOLVE BFEA1 LO,PSSTRESSES Version 1.3 03/01/86


Load Case 1:CnoV-of{ in load position

LLoads Node A': ia Y-Shear Z-Shear Torsion Y-BendinQ Z-Bendinn

------------- ---------------------------------------------------------- ---------- ---------- ---------- -----------/'S r sE***BEAM NO. 9-***

LLoads 1 . -- E--E+C() -. 4764E+04 .0:00E+00 . 1204E-05 .0 ) 0E +0C) .76)E-+ (-,4. LLoeds 11 . CO0E+C0 .4764E+04 . C)0E+0 -. 1204E-nC,5 -) .E+ 4566E+0T-

Stress 10 . 00 CE0 - . 151 2E+04 .O000 -. 5780E-05 -. 815,1E+03 .(0005+ ,Stress 11 .0000E+00 -. 1512E+04 . 0000E+00 - . 5780E-05 -. 1032E+05 .O000E+(O

***EAM NO. 1***N LLoads 11 .0000E00 . 317.E+0 4 .0000E+00 -. 7410E-06 .000E+(0 .4566E+{)5

LLoadE 12 . C000E+ 00 -. 3173E+04 . C:CC0E +oo . 7410E-06 . I000E+00 - I 577E (>Stress 11 .)x0E+00 1 E0:7E+04 . 0000+00 .3557E-05 -. 1032E+05 . O000E+ou

Stress 12 . . i 007E+-)4 .. 07+ . 3557E-05 3563E+04 E + C+- C)*t**BEAM NO. 11***

LLoads 12 . C) 0E+U0 .C 1 7C+4 . 0000E+0 - .7410E-06 . C)00E+' . 1577E+05

% L-. oad s 13 . 0000E+00 -7. 3173E+04 . 000E+00 .741 OE-06 .C C C0E+00 . 14 1 2E+0%.. Stress 12 . 000E+00 . 10(')7E+04 .C0000E+)0 .3557E-05 -. 3563E+04 .0000E+0')

Stress 13 .0000+00 . 1(0)07E+04 . 0000E+00 . 73 E C-05 .3191E+04 . 000E ,u***BEAM NO. 12***

LLoads 13 .0 ,)00E+ 0 .3173E0 4 .0000E+00 - .7410:E-06 .0000E+00 - . 14 12E+05LLoeds 14 .1OOOCE+00 - . 3173E+4 .000'E +f) .741 ()E-06 .()0005E+O:) 4401 E+(.5Stress 13 . 0005+00 .CC 1007 E+4. E+ .C.0-5 E. 3191E+04 . 00'0E+0-

i Stress 1+ 1C07E+04 .- f'oc +f'f' 3557E-05 .9944E+04 .,0000*E':t

. ***BEAM NO. 1.***LLoeds 14 .0000E+00 . 3173E+01 .+ 000E+0 -. 7410E-06 . C000E +0 -. 44()1E5! LLoads 15 .O7 173E+0 4 . 000E+S,:0 .741 0'E-06 .0000E+00 .7391 E+("'Stress, 14 . ,t,E+- . 107E+04 . (0))0()E+00 . 3557E-05 . 9944E404 . t-, 0 ,04k'Stress 15 . 0---0E0+f0 . 1007E+04 .0)0 +00 . 3557E-()5 . 167(,E+05 . E

***B3EAM NO. 14"**:t LLoads 15 0CC)E +0 - 555E +1)4 .") C 1 E+C)0 - .273E-05 0)005 +'C( - 7391E+05S L Loads 16 0 0,E + 0 55-.5E+(14 C ()E4j C . 27 7.E -C)5 E j,::5+,0C, .405E5Stress 15 .(Wtfl(5,EOt -. 1757E+04 ),5E+oo 1_ E +04 .C 1712+05 .() I L-',Stress 16 . ()CE+) -E . 1 757E+04 F+CUh) . 1E 1E- 04 . tq4E +04 . :005 .

-**BEAfM NO. 15iC*LLoecis 16 .00.05+00 -. 5E, E +04 . uuooE+,,t -. 7.-5 .oE :o ,' - . .4Q'5 E,4 "LLoads 17 . ,0+:' .5535E+:14 ." 1 5(,E 1 . .. 05 0 ,'(E+4,: -. 57 -7 E -. 4

Stress 16 . ft0E .t -. 1757L+n4 .k 0'CE ,)4 . 11E - -04 . 7L4E 4 .+t,'5 E('4Stress 17 . C E+00 E+0 -. 1757E+,4 +,-,OOE+f. . 171 WE -04 -. 131(5+()4 .

*jPEAN NO. 16.**

LLoads 17 .0, , Ei + C-) .S- +-54 --Eu +" ..- .27 7 -05 .(I( 5. . 5-,F+ E

? LLoads 8 .. (rtoE+ . 5575_ 4n4 . .OE+,c . 27,--5 O(,,5 OE - . 4Y.&.EStress 17 . -,,.y , - -. 17575E+,4 . fl','tE +y, . 7. CE--,4 -. I. 131(E+ 4 .k( .. +

St r e S4 18 .(:):OE I 7 7 -F. -757E 4 3 'E.,,,- 1 12 -- y4 ,(,E.'' E 4

**.HEAM NO. 17-**i L Lo cds 1 . 0 ( .00 . 551 95+, .E.u 0 E + Ct,

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4," ......- I M A G E S DSCopriqht (c) 1984 Celestial Software Inc.

SOLVE FAM LOgDS/STRESSES Version 1.3 03/016


Load Case l:Coo -off in load position

LLoeds Nde A'rial Y-Shear Z-Shear Torsion Y-Bending Z-Bending/Stress

LLoaRds 19 .O '000E+00 -. 551 9E+03 . -. 21650,E-0(.080 .1 5 .C 0E E+0 - . 4168E+05or % Stress 18. I 000 E+0) . 1752E+03 .C) 00+C) - . 1039E-04 - . 1031E+05 .0,OOE+*,

Stress 19 . '0C00(E+0- . 1752E+03 .200E8+]+ -0. 1 039E-Q4 -. 9416E+04 . 0CC000E0C*-*BEAM NO. 18**P

LLoads 1 . C)00)iE+0) .5519E+03 .00C)0 +00 . 2165E-05 . 0()00E+00 . 4168E+05LLoada 2', .'0Q8i , 519E+0 3 .9E+:,7+. -C. 2165E-05 , CFE+ +C - . 37716+,55

Stress 19 . 0000E+0E . 1752E+03 ,0000+00 - . 1,039E-04 -. 9416E+04 .o 00C)E+0C,,Stresc 20 . 000c08+00 . 1752E+03 . '0jE +00 - . 1039E-04 - . 518E+04 .0000E+00

2' ***BEAM NO. 19***LL.oad= o .00008+00 .5519E+03 .0000E+00 . 21 5E-05 . 000E+00 . 377(,+05

L Loads 21 . 00008+00 - . 5519E+03 .0C)00E+00 -. 2165E-O5 . 000C0E +0 - . 3351 E05St r-e S E 2'C) . 0000+C)0 . 1752E+0 - C. 0000E+00 -. 10:9E-04 -6. 658E+04 . 0000E +,-)Stress 21 . 0000E+00 . 1752E+03 .0000+00 -. 1039E-04 -. 7572E+04 . CC00

***F(EAM NO. 2LLoads 21 . 00008+00 5519E+03 .0 00E+00 . 2165-5 . 0000E+00 . E +18+05LLoads 22 . 000C8 00 - . 5519E+03 .C)C 0-E+00 -. 165E-0S . 0C00E+0C) -. 2932E+C'5Stress 21 .C) C00+C) . 1752E+03 . C008E+K - . 10.9E-04 - . 7572E+04 C ( ,E+00St r ess 22 . 000)E+)0 . 1752E+03 0C)0C+C00 - . 1,3 E-04 -. 6625E 04 .C* H 'E+0

***BEAM NO. -21***

.. LLoads 2 . E0000E+00 . 551 9E,+073 . . 2165E-05 .0000E+00 .297E-05L LLoads - .0 E+00 -. 5519E+07 .C)C)C)+ . . -. 21 65E-05 .0000E+00 -. 1 E +5

St ress 22 . 0000E+0 . 1752E+03 . 0107E+0) - . 039-04 - .+ C) C 0 4 6625+0 .....Stress 23 . 000E+0 . 1752E+03 .C000E)+E0 - . 1-9E-04 -•5679E+04 . 00E+00

***BEAM NO .- ** ....

LLoads 23 . C 0 CE+0 . 55'1 p8+C. E 8+ C . 2.165E-05 0 . 2E+ 751-E+05- LLoads 24 . C)0E+C0 - . 5519E+03 . 00E+0C) - 2165E-05 . C)00('+0:E - . 2095E+ 5

W Stress 23 . 0000E+00 . 1752E+03 00COOE+00 1039E-04 -. 5679E+04 .C 00E +0Stress 4 . 00(+o0 . 1752E+0: . 0:ooo 0 - . 1039E-04 - . 4732+04 . 00'0++C0

***BUEAM NO. 23***fr LLoads 24 . (000E 00 .5 19E40: . C)u+CO) . 2165E-S . )0C)0C)E+0 . 2+95E(05L: L o,-- H _j'E+ C)E cE+ - I 165E-05 C) C0E + 'C) 1676E+()5

*' .• LLoede 25 .- ")E008+40 -•551 E+03 ..... E.+ .2 .. 1.*' Stres 24 .00008+00 . 1752E+03 . oC)-ErC+ - . 10PE -04 -. 47-2E+04 . 0000E-C0

* StressE 2 5 'uE 1752E+CC. C) 000+00 - . 10'539E-04 -. 3786E+04 .

***BEAM NO. 24.**' Ltoad .___ . ouuKE+00 . 551 E+03 . 0000E+00' . 21658-05 . (00E+00O . 1&T5E+15':

LLoads 2A C) 0:)uC)E + - . 55 59E+03 19 E'++0C - . 2 165E-05 . 0u')E+C - . 1 25?'E +4 ,'tS et re= s 25 .C0,0:,E+00 . 1752E03 .,+uF'. C 00 - . 1079E-04 -. 3786E+,',4 .'-,)E ''

Et r e? s 26 1 F F+ ..... 0 )E+ , 0 10'C+- i39E-04 2838 E 4 ,"-)4***EDEAM NO. 25**

~. Lt o - 26 ':'', 0E.+ ':<, 5519E+0- .( ' ()0'E + ") :1 65E-05 000)8+0> -C) 'E +LLo d s 27 00008 0 -- 5 1 9E+03 ."(''E +00 -. 2165E-05 00008+C0 -. 8-778E+04St r. s '-'A flfl">iE c . Co528+0 .0,00' 4 00 - . 1-(, 039E-04 -. 267- E+(',4 . ,, ,

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A I N , E S E.

Cupyrioht (c) 19E.4 CEelEtI&l Software Inc. =

. SOLVE PEAM- LO'DS/STRESSES Version 1.7 07,/01/86

LTHD brrel and rail under riflinq torque load

Load Caei 1:Coo -o4+ in load position

LLoads Node A,:i al Y-Shear Z-Shear Torsion Y-Bendinq Z-Bendi nr/Str es:

Stress~ 27 Q.0E+':,:) . 1 752E+E .00+Q-. I 79E-)4 -. 1897E+04 .... E+.C)

D* ErEM NO. 2*

LLoads 27 C)CE +(') 51) 9E+ 5K 5+ 1+ 2165E-C5 00C)E+ C 78E+4LL oa d 5 28 OCC)C)E+C, - 515 19E+0 .07 (WC)E+00 -. 2165E-05 . OC0E+O0 - 4 89E +c4

Stress 27 . 000) 0E+0 . 1 752E+03 . 0)00E+C) -. 10CC9E-C)4 - . 93E+04 .0C'0E+00

;F , . Stres 28 (.(00 E+C)) . 175:E+(') . (.)(H)E+() -. 1039E-04 -. 9464E407 . Q,:,OQE+ C

***BEAM NO. 27***4 LLoads 28 . 9E-E+7. . 551 9E+0 C) C)E+C)C) . 2165E-05 .C-)C) C)E+C() 41 89E+04" ,. LLoads 2 .kC)CC)E+O0 -C.519E+03 .CC)0:E+OC -. 21 65E-05 .OC)(CCE+ C) . 4829E-07

' St r e 28 uu0E+00 1 75E+, - -C)O )E+OC) -. 109E-04 -. 9464E+CF. 0C, 0E+Stress 29 . C @)E+ 0 . 1752E+C . C000E+0u - . 1079E-04 . 1091E-07 .CO00E+uC

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SOLVE'EAM LOADSSTRESSES Version 1.3 03/01/86


Load Ca!-E. I:Coc-of+ in load pos:itior,

MAXIMUM STRESS SUMMARY FOR BEAMS/TRUSSES-, WITHIN SPECIFIED RANGE 1- 27

. Ma':imum (absolute) Stress = .4770E+(')5 at BEAM 4

Beam A':ial Y-Shear Z-Shear Torsion Y-Bendi ng Z-Fending

' 4 . C()k0)E+OC' .7:,57E +,4 .O0(I)c E+00 -. 1482E-04 -. 477:E+()5 . CZE+OC

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~~~\V2Northern Ordnance Division APPLIED~ iCAJ\Q Minneapolis MECHA N/CS

Suabject Analyst

Project Number, C/

EC. No. o

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PART NUMBERS: 12585782, Clamp Plate machining,12586016-002, Clamp Plate extrusion

DESCRIPTION: RAIL-TO-COLLAR CLAMP

All clamp plates are identical in the cannon assembly to simplifymanufacturing. 6061 Al/20 v/o SiCp was chosen because of itshigh strength/weight ratio as well as its relatively highductility (compared to higher volume percents of SiCp). An FEAmodel was created to determine allowable stresses in the clampplate. It was concluded that a gap not greater than .004 inch

S.' should be maintained between the clamp plate and the collarsprior to tightening the clamp plate bolts in order to prevent

overstressing of the clamp plate. A summary of the FEA resultsand the complete analysis can be found in the following pages ofthis section.

STATUS:

Dimensions and tolerances for the clamp plate design (TDP, Dwgs.12585782 - machining, 12586016-002 - extrusion) are complete andare supported by thorough analysis.

- AUTHORS: Joe Fishbein, Joe Turek, Scott Dacko, Dave Warwick

I

N

CII Oi Northern Ordnance Division APPLIEDMinneapolis MECHANICS

~ YSubject AnalystProject Number

EC. No. Ot

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LFBRTOTAL WEIGHT - 3870.15C.G. X COORD (IN) - -.274826.. Y COORD (IN) - -.119819C.G. Z COORD (IN) - 199.4763YZ (FT-LB-S^2) - 35568.8JXY (FT-LB-S^2) - 3.24387JXZ (FT-LB-S^2) - 35571

.. DESCRIPTION WEIGHT X Y Z5725 5 -13.5 10.88 1185726 1 -11.5 1.25 105.485727 1 -4.25 2.5 105.485728 8.76 5 8.75 216.275766 -"zL CU" 181 0 -1.8 366.7

e% 5781.01t L, 26.8 0 0 128.7475781.02 16.82 0 0 164.7475781.03, CoA, 19.44 0 0 200.0575781.04( 22.77 0 0 237.747578105 - 27.66 0 0 340.997

. 5782c 64 12.33 0 0 214.455786 X .:6 c, 1 0 4.03 349.8

: 5787r4L.- c.-AA 24 0 0 347.8; 5788 -18.. 24.67 0 0 189.01s 5789 e 495 -2 0 113.2

5802 45 -2 -1 105A ". 5816 is 92.15 0 0 188.13' - 5947 91.22 0 0 178.125

5948 91.5 0 0 178.1255954 3.652 0 0 120.6235955 5.842 0 0 118.8075963 I-;4,2 86.43 7.38 -2.72 234.5775964 X-J4

&AIL 79.11 -7.38 0 234.577

5965 .',r.~o .17 3.62 6.28 120.371". 5966 ' .33 3.62 6.28 120.8

5967ci' -' 1.06 0 0 121.255968 irl 4.78 0 0 214.455969 7.4 0 0 214.436002.01 .05 0 4 3496002.02 6.36 0 0 214.4576002.02 6.25 0 0 214.4576002.03 .6 0 0 121.256033 1 0 0 207.139999 2480 0 0 203.857

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Bubjact AnalystNmwDt

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DEE. F'TIuDN: SL INE-NIF ANL, TIEDOWN PROVISIONS

E!incinz Fro ons. The slinging system consists of twosiinzino crovi-i-mns on the sides of the top part of the platformand two provi.ions on the sides of the top part of the frontcr--cle ma.nifold. The platform provision design consists of bolt-

on anqled, 1,/- inch titanium plates with 3" diameter holes forthe Sling h:1 o. The front manifold provisions are similar indesir- arid are er visioned to be alIminUm. The lifting slingsat t acrt at t i-e four 1 ocat ions and converge at a rino 2>. 8 ft up,,er t ic] I, tror the LTHD center of gravity in the tow position.Calcilated cable tensions for the front and rear cables are 20'i8lbs ard - 1-7 1bt) respectively. The cable and slinging provisionst rerQth r ei rements s are thuls to withstand wor- i no loads wi thoutpermane-it de-tornatior f 522 and 11,447 lbs. respectively andh '.e ulti -te etrenCth a of oreater than 9782 and 17168 lbs.reFst .e .. H=.d calculations indicate this lightweight designwi eai m enet these requirements.

T ie 1. 1 U aci rs. The front tiedown provision is at thec -i. rairati r: for other tiedown pro'.'isions have yet to

t-E r1l e . T e requirerterts of MIL-STD-2C9F above, along withi -tr-,rAi rol I r transport and aircraft transpurt Ere toVe L'HEC, i F. i:r sr r-., the t e--do,,n provisiOn desions.

'c t - iv.' lads 1 1ocat i ons and cri tic al di mernsi orci. o. c:ior- h ' bee-, dete-mined. FNC has u Fd

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L PART NUMPEES: 125-5'82, Spade weldment12595B21, Spade machining

DESCRIFTION: SFADE

The spade is a machined titanium weldment and weighs 2I lbs.Factors drivinq the spade design include: the vertical area

required to minimize sid under worst-case firing conditions (at

IL. 0 degrees OE and all traverse anqles, ; the effects of the

horizontal area on qround pressure and in reducing hop;

penetrability in hard ground durinq emplacement; ew:traction

forces required to remove the spade from muddy ground: strength

to withstand point ano edge loading from rocds, etc.: ground

clearance requirements during towing and C130 loading/unloading.

FEA models were used to minimize weight thus far and plans were

- being de,,eloped for structural testing to reduce the spade weight

even further. Testing at Aberdeen Frovinq Grounds would be

-useiul to prrve the spades functionality under the manyconditions described above. Load cases and design calculations

for the spade can be found in the following pages of this

section.

--STATUS:

All design and drawing requirements for the spade have beencompleted. Drawings for the spade can be found in the TDP.

AUTHOR: Dave Langerud

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PART NUMBER: 125857110-575, Speedshift Assembly

DESCRIPTION: SFEEDSHIFT ASSEMBLY

The speedshift assembly is located exactly at the system center, ;.of qravity with the system in the tow position and the barrel in

the load position. (See Figure D/250-1.) The assembly is stowedin the 'up" position when not needed. During the speedshiftprocedure (see section on operational procedures) the barrel islowered ZC.0 mils, the assembly is lowered and the weight of thedepressed components rests on the assembly. After the barrelequilibration is turned off and the trails are raised, the rear

_r. wheels are lowered to lift the spade out of the ground. At thistime, the cradle is parallel with the ground and the LTHD isfairly well-balanced on the speedshift assembly and can berotated about the disk at the assembly base.

The design load for the speedshift assembly consists of the 900)pound system weight acting perpendicular to the cradle plus-or-minus the angles allowed from "tipping."

STATUS:

A layout of the speedshift assembly (TDP, Dwg. 12585710-575) hasbeen made and preliminary sizes have been determined for the

major components. The layout can be found in the TDP.

AUTHOR: Kent Williams

211

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40

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I I xl xii '/I IU

DEEFIrTION: T IILI ]RAVEL LOC E, FIF ING LOC S

ThE major components of the trail incluoe: the composite trail

S tr LtL1'-E btl head=. walD in tEams, hUbs ar'o a:les, service ?r'zpark brae es , wheelP ano ti res E'nd wheel actu ator .

Composite Trail StrLct.re -

FNC has work ed with both Mor-tctr, Thioicol and Heath Techna to firmuC the trail oesiom ano the composite trail structure inpa-tilLCla-.

The troil desion has chanQed sinificartlv since the end of PhaseI; the primary dr-iver beino the incorporation of the wheels- -formErly Or; a dolly) into the trails. Considerable analysis waeperformed on a desion that suffered from weioht and prodLcibilityproblerz. Ori!y portions of that ana-;k.iss applicable to the newdesign Pre included.

For a summary of trail load cases and design calculations, thereader is referred to the following pages of this section.

"es-igr requirements for the trail include not only being able towithstand loads induced from worst-case environments, but also tohave a minimal amount of oeflection at the trail ends in the fireposition. Stability analysis indicates that less than 1 inch ofstatic deflection at the trail ends (at 0 degrees DE andtraverse. provides acceptable firing stability under worst-casefiring conditions. Analvsis to date indicates that deflectionson the order of 1 inch are attainable.

The following steps summarize the approach used for compositetrail structural analvsis:

.. Easic hand-analysis was performed to verify structural

feasi bi l i ty.

The trail geometry was defined on paper.

A 2-dimensional model was created with IDEAS SuperTabPreprocessor.

4. Inputs to the MCS NASTRAN FEC consisted of both shell and

beam element data:

Properties of the beam elements were derived from SuperTab.Beam element material constants were determined using COMFCAL. asoftware pacl age developed by the University of Delaware that

1- runs on an IBM FC.

VI

T' v s nel1l elIemy)en ts were mocel 1ed using plyv-by-pl y propert,.E2Jv ra:IrA 1 P'COr2~rtN lfiF2L't5 c~n~i~tE,:j of the ani sotrociC

P-Lert ies- of the sE 1e-tEd comPosi te pre-preQ. These propertieci rc :-dE-d a noc doD~.n f actor for hot-wet condi t ions.

i . Thr-ee stat ic c.) ad cases were analyzed and include: a irt-a-Fcprt: towinq worst-case "bump and s~id:" arid working Ioazos+r 7,~ worst-case firir'o con)ditions. For each of these load ca'-_& a.4u CCe inpLtS and pr ecise constraints werE determined. All1c~ncetraints were aS-uMe:d rigid. The elasticity o4 the platformr.4-)- e aIMPlo W- kE thuIS ignored.

~. The N 4ETF'wN SOILution sequence Was specified. (Superel eme-Itstatic soIlution t- wes primarily- Used.)

-. The NAE-TRAN or ooQam was run and paper outpu~t was generated.

E. The output was review-ed for low strains. hiah strains,OW ~ ~ a - c t t.' I TsL - i va8lues and also ma;: i mumr strains usinq the

Ma IMLIT strain -falure criterion. (Early Phase II wor i LisedISa1-LL' l ater in Phase II, FI*C switched to utsina the Me:I M LyI

strai n -fal ure cr iteri on. With this criterion, .006'& inches/inchW&. us -ed to CAZC-outrt -for damaQE? toleranze. The anisotropic

Lai rr-erial was analyzed in a ply-by-ply fashion.

R' ecommendati ons wer e made for desiqn chanoes wh ic h Co0Ul1.dred'jc:: weight. reduce? strains and increase stiffness.

1. The atuo e process was repeated with data modifications toref!E:t the desired design chanoes.

ETATL":

wI cLrrent laV)Lt Of the trail (figure D7K-)*along with thecu-rrent 1112 scale -.- D model, pages 7-4, best illustrate thetrail configuration.

AiUTHODr-S: Diane Tollette, Dave Langerud. Joe Fishbein, ScottDac o

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- ",TRAIL/CRADLE TRAVEL LOCK

The travel lock consists of three main components: the composite trailextension, a link that closes over a projection of the cradle and carriesdownward-directed loads, and a triangular bracket to prevent directbearing on the composite material from upward-directed loads. Maximum loadfrom transport is 2,100 lb. in either direction.

I The "L" shaped link was analyzed as a rigid frame. Titanium was selectedfor weight considerations. The section used has a maximum combined stress(axial + bending) of 45,340 PSI. Direct bearing stress, assuming a contact

S width of 0.1 in., is -84,000 PSI. The resultant principal stress is-84,055 PSI, for a FS of 1.43. This falls within the desired range of1.2-1.5.

S The triangular bracket was checked for pin hole bearing, compression, andstability. Bearing stress in the hole is the limiting factor, with abearing stress of 20,000 PSI (FS=1.50). Compression stress is low, and

S buckling of side plates is not significant.

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A PART NUMBER: 12585845, 12585847, Trail Bulkheads

(. DESCRIPTION: TRAIL BULKHEAD

STATUS:

Finished drawings of the current bulkhead (TDP, Dwgs. 12585645,12585847) design have been created and are supported by acomplete finite element analysis. A summary of this analysis canbe found in the following pages of this section.

AUTHOR: Joe Fishbein

I

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| ( TRAIL BULKHEAD

The trail bulkhead is a tubular truss that supports the wheel actuatingcylinders. The main area of concern was the top cross member, where thecylinders attach.

W A FEM of the bulkhead was used for the analysis. Loading of the top beamis from the front cylinder (20,000 lb. @ 32-deg.) and rear cylinder(25,000 lb. @ 8-deg.). These loads may act independently or

a simultaneously. The analysis showed that the section was inadequate tocarry these loads. By adding cover plates to the top and bottom surfacesat the center, the maximum fiber stress is 62,574 PSI (FSI1.92), occurringwhen both cylinders are loaded. This stress will actually be less, sincethe load is divided between two lug plates, not a single central plate as

, was modeled. Gusset plates on the ends are also required to keep the weldsize to a reasonable value.

" The lug plates were sized based on net tensile area and shear tearout.Factor of Safety is greater than 2.0 for both factors.

The pin holding the cylinder to the lugs was also checked. The diameter ofthe pin (1.00 in.) was pre-determined by bearing selection. Likewise, thespacing between lugs was fixed by fabrication constraints. Thus, the pinhas a very high bending stress (135,812 PSI for a pin with a 0.50 in. dia.I h ole for weight savings). Maraging steel (Grade 250, type III) gives a FSif 1.77.

a Additional loads, seen during transport, were run on the model. These areapplied to the bottom of the vertical members. Loads from towing (bump andskid) and air drop (4.5 G) were used. Resulting stresses are moderate,with the minimum factor of safety equal to 4.75.

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FMC CORPORATION S/N: 800484

I-----------------------------------------------------------------------

J ob I n f or mat i on---------------------------------------------------------------- a-! a

Project : LTHDa I

Client • D. Tollette UIJob Name : Trail Bulkhead aI I

Remarks : 3/3/87 Re-design* a

a a'_ ,

Engineer • .a J. Fishbein

Chk'd by : / 'a a

Appr'd by : / -

Comments t FNIZ TAIL&/A.-

a I

=------------

I=---------- == = = -3 D = = nm n i

== ~~= - = = = = = = == = = = = = =

======- === -- = === = =-== = === --- = =-----------------------=----------=- -= = = = = =

-I .... - --------- I M A G E S 3 D . . .= = == Copyright (c) 1984 Celestial Software Inc.

InteraCtive Microcomputer Analysis =& Graphics of Engineering Systems

IMAGES-3D Version 1.3 03/C1/8b6

RUN ID=NU36562

NOTICE

= Celestial Software Inc. assumes no responsi-= bility for the validity, accuracy, or= applicability of the results obtained from= IMAGES-3D.

= Any questions or comments concerning the use= of IMAGES-3D or the users manual should be =-addressed to: S

= Celestial Software Inc.

125 University Ave.

Berkeley, CA94710

415-841-7175

t

~ FMC CORPORATION S/N: 800484 03-09-1987PAGE 1-------------------------- IM A 6 E S 3 D == ==

Copyright (c) 1984 Celestial Software Inc. =

I CHECK GEOMETRY Version 1.3 03/01/86

LTHD Trail Diaphragm -- 3/3/87 re-design

MATERIAL PROPERTIES

Material Modulus of Weight Coeff of Poisson's Shear WebNo Elasticity Density Thermal Exp. Ratio Modulus

---------------------------------- ------------ ------------ ------------ --------- ------------

1 1. 65000E+07 1. 65000E-0l 6. O0000E-06 3. OOE-O 0. 00000E+00

NODE COORDINATES

Node X-Coord. Y-Coord. Z-Coord.

1 -1. 05000E+0 1 3.65410E+01 O. OOOOOE+002 1.05000E+01 3.65410E+01 O. OOOOOE+00S-1 . 05000E+01 3. 23750E+01 O. OOOOOE+004 -7. 87500E+00 3. 23750E+01 O. OOOOOE+005 -5. 25000E+00 3. 23750E+01 O. OOOOOE+006 -2.62500E+00 3.23750E+01 O.0000E+,O7 O. O0000E+00 3.23750E+01 0.00000E+O08 2. 62500E+00 3. 23750E+01 O. O0000E+009 5.25000E+00 3. 23750E+01 0 OOOOOE+00

10 7. 87500E+00 3. 23750E+01 0. O0000E+0011 1. 05000E+01 3. 23750E+01 O. OOOOOE+0012 -1. 05000E+01 2.604 1OE+01 O. O0000E+0013 1. 05000E+0 1 2. 60410E+0 1 O. O0000E+0014 0.O0000E+00 1.88870E+01 0.OOOOOE+0015 -1. 05000E+01 1. 57200E+01 0. O0000E+0016 1.05000E+01 1.57200E+01 0.OOOOOE+0017 -1. 05000E+01 5. 39800E+00 O. O0000E+0016 O. O0000E+00 5. 39800E+00 0. OOOOOE+0019 1. C05000E+01 5. 39800E+00 0. OOC)E+0020 -1. 05000E+01 0. O0000E+00 O. OOOOOE+0021 1. 05000E+01 O. OOOOOE+00 0. 00000E+0022 -1. 05000E+01 5.39800E+00 -3.62500E+0023 -1. 05000E+01 5. 39800E+00 3. 62500E+0024 1. 05000E+01 5. 39800E+00 -3. 62500E+0025 1. 05000E+01 5. 39800E+00 3. 62500E+00

A

U FMC CORPORATION S/N:8"0484 03-09-1987PAGE 2

... I M A G E S 3 D= Copyright (c) 19B4 Celestial Software Inc.

CHECf GEOMETRY Version 1.3 03/01/86


BEAM PROPERTIES

Multiplier = 1 (For AISC database properties only)

Prop X-Section Moment of Inertia TorsionalNo Area Iy / Iz Const.- J

I 1.922E+00 2.115E+00 2.115E+00 3. 155E+002 3. 109E+00 2. 673E+00 4. 789E+00 3. 155E+003 2.OOOE+00 4. 170E-02 2.667E+00 1.667E-01

Prop Max. Fiber Dist Shear Shape FactNo Cy I Cz SSFy / SSFz Ctors

1 1.3E+00 1.38E+00 2.27E+00 2.27E+00 1.38E+02 1.63E+00 1.38E+00 2.27E+00 2.27E+00 1.63E+00

3 2. OOE+00 2.50E-01 1.18E+00 1.18E+00 2. OOE+O0

BEAM CONNECTIVITY

Beam Nodes Prop Mat Pincodes Y Dir Cosines BeamNo From/ To/Ref No No I / 3 Length X Y Z Type

1 20 17 21 1 1 5.398E+00 1.00 0.00 0.00 Beam2 17 15 21 1 1 1.032E+01 1.00 0.00 0.00 Beam3 15 12 21 1 1 1.032E+01 1.00 0.00 0.00 Beam4 12 3 21 1 1 6.334E+00 1.00 0.00 0.00 Beam5 3 1 21 1 1 4.166E+00 1.00 0.00 0.00 Beam6 21 19 20 1 1 5.398E+00 -1.00 0.00 0.00 Beam7 19 16 20 1 1 1.032E+01 -1.00 0.00 0.00 Beam8 16 13 20 1 1 1.032E+01 -1.00 0.00 0.00 Beam9 13 11 20 1 1 6.334E+00 -1.00 0.00 0.00 Beam

10 11 2 20 1 1 4.166E+00 -1.00 0.00 0.00 Beam11 3 4 1 1 1 2.625E+00 0.00 1.00 0.00 Beam12 4 5 1 1 1 2.625E+00 0.00 1.00 0.00 Beam13 5 6 1 1 1 2.625E+00 0.00 1.00 0.00 Beam14 6 7 1 2 1 2.625E+00 0.00 1.00 0.00 Beam15 7 8 1 2 1 2.625E+00 0.00 1.00 0.00 Beam16 6 9 1 1 1 2.625E+00 0.00 1.00 0.00 Beam17 9 10 1 1 1 2.625E+00 0.00 1.00 0.00 Beam18 10 11 1 1 1 2.625E+00 0.00 1.00 0.00 Beam19 17 18 1 1 1 1.050E+01 0.00 1.00 0.00 Beam20 18 19 1 1 1 1.050E+01 0.00 1.00 0.00 Beam21 17 14 1 1 1 1.709E+01 -0.79 0.61 0.00 Beam22 14 11 1 1 1 1.709E+01 -0.79 0.61 0.00 Beam

FMC CORPORATION S/N:800484 03-00-1987PAGE Z

I M A G E S 3 D ...... . == ...Copyright (c) 1984 Celestial Software Inc.

CHECK GEOMETRY Version 1.3 03/01/86


Beam Nodes Prop Mat Pincodes Y Dir Cosines BeamNo From/ To/Ref No No I / J Length X Y Z Type

23 17 20 3 1 3.625E+00 0.00 -1.00 0.00 Beam24 17 23 20 3 1 3.625E+00 0.00 -1.00 0.00 Beam25 19 24 21 3 1 3.625E+00 0.00 -1.00 0.00 Beam

26 19 25 21 3 1 3.625E+00 0.00 -1.00 0.00 Beam

RESTRAINTS

Node RestraintNo Directions

1 X Y Z - RY RZ2 X Y Z - RY RZ

22 X Y Z - - -23 xVz- - -24 X Y Z- - -

5 x Y z - - -

0 .2KA

U

FMC CORPORATION S/N:800484 03-09-1987PAGE 1

== = ==== I M A G E S 3 D= Copyright (c) 1964 Celestial Software Inc. =

i RENUMBER NODES Version 1.3 03/01/86


Node Renumbering Cross Reference List


1 7 2 21 3 44 2 5 1 6 3

10 12 11 18 12 613 20 14 15 15 916 23 17 11 16 1419 19 20 13 21 2222 16 23 17 24 2425 25


l,

4

iq

I 'aI'UIII

I

SI

I

IS

k 'C

FMC CORPORATION S/N:800484PAGEI I M A G E S 3 D

-Copyright (c) 1964 Celestial Software Inc.

ASSEMBLE STIFFNESS MATRIX Version 1.3 03/01/6


STIFFNESS ASSEMBLY SUMMARY

Number of Node Points................... 25Number of Truss and Beam Elements ....... 26Number of Plate Elements.................0CNumber of Spring Elements................ 0Number of Nodes with Restraints ......... 6Number of Blocks in the Matrix .......... I

BLOCK NUMBER 1

FORM MatrixPACK MatrixSize - 17720 BytesTRIANGULARIZE Matrix

Number of terms in the matrix. 2215Largest column..................... ..35Minimum Diagonal Stiffness - .1323593D+0)6j Maximum Diagonal Stiffness = .709360)1D+08

FMC CORPORATION S/N:800484

Cy hPAGE 2

.............. I M = = 3 D = = == = = = ==Copyright (c) 1984 Celestial Software Inc.

ASSEMBLE STIFFNESS MATRIX Version 1.3 03/01/B6


* CROSS REFERENCE L I ST


Is TRANSLATION / ROTATIONNode Eqn. Eqn. Eqn. / Eqn. Eqn. Eqn.------------------------- ---- /---- ---- ---- ---- ----

1 1 2 3 4 5 62 7 a 9 10 11 123 13 14 15 16 17 184 19 20 21 22 23 245 25 26 27 28 29 306 31 32 33 34 35 367 378 38 39 40 41 42 439 44 45 46 47 48 49

10 50 51 52 53 54 5511 56 57 58 59 60 6112 62 63 64 65 66 6713 68 69 70 71 72 7314 74 75 76 77 78 7915 80 81 82 83 84 8516 86 87 8817 89 90 9118 92 93 94 95 96 9719 98 99 100 101 102 10320 104 105 106 107 108 10921 11022 111 112 113 114 115 11623 117 118 119 120 121 12224 123 124 12525 126 127 128

'S.

FMC CORPORATION S/N:800484 03-09-87PAGE I

IniniI= .... I M A G E S 3 D In=I ...

- Copyright (c) 1984 Celestial Software Inc. -

SOLVE DISPLACEMENTS Version 1.3 03/01/86


LOAD CASE 1F1 Cylinder Load Only

CONCENTRATED LOADS


7 .000)E+00 -. 1696E+05 -. 1060E+05 -. 9116E+05 .OOOOE00 .O000E+0

II

U

FMC CORPORAT ION S/N: 600484 07-09-87PAGE 2

m m = I M A G E S 3 DCopyright (c) 1964 Celestial Software Inc.

ISOLVE DISPLACEMENTS Version 1.3 03/01/6


LO0A D C A SE 1Fl Cylinder Load Only

APP'LIED LOAD VECTOR

Node FxFy Fz Mx My M

7 0000OE+00 -. 1696E+05 I. 060E+05 -91 16E+05 0 C000E+00 0000OE+00

% %


Copyright (c) 1984 Celestial Software Inc.




DISPLACEMENTS

Tr a n s 1 a t i on s / ot a t i on sNode X Y Z / X Y Z---------------- ---------- -------------------- ---------- ---------- ----------

I OOOE+00 . 0000E+00 . 0000E+00 / -. 2093E-02 . O000E+00 . O000E+002 .0000E+00 . O000E+00 . 0000E+00 / -. 1626E-02 . 0000E+00 .0000E+00

-. 1C)60E-02 -. 9981E-03 .5993E-02 / -. 3671E-02 .3005E-02 -. 1890E-024 -. 8473E-03 -. 1240E-01 -. 5684E-02 / -. 9586E-02 .3732E-02 -. 3407E-025 -. 6349E-03 -. 2561E-01 -. 1789E-01 / -. 1550E-01 .3406E-02 -. 3271E-026 -. 4224E-03 -. 3630E-01 -. 2785E-01 / -. 2141E-01 .2027E-02 -. 1483E-027 -. 2911E-03 -. 4088E-01 -. 3244E-01 / -. 2733E-01 .1023E-03 .3653E-048 -. 1598E-03 -. 3605E-01 -. 2841E-01 / -. 2129E-01 -.1827E-02 .1546E-029 .5267E-04 -. 2516E-01 -. 1897E-01 / -. 1526E-01 -. 3226E-02 .3266E-0210 .2651E-03 -. 1199E-01 -. 7233E-02 / -. 9218E-02 -. 3585E-02 .3288E-0211 .4776E-03 -. 9843E-03 .4C)83E-02 / -. 3181E-02 -. 2904E-02 .1613E-0212 -. 7889E-02 -. 8446E-03 .1854E-01 / -. 8620E-03 .2301E-02 -. 5304E-0313 .6687E-02 -. 8257E-03 .1513E-01 / -. 7881E-03 -. 2288E-02 .5320E-0314 .5109E-02 -. 4485E-02 .5874E-02 / -. 1040E-02 -. 1792E-02 -. 3938E-0315 -. 5758E-02 -. 5945E-03 .1208E-01 / .1222E-02 .1156E-02 .5299E-0316 .5760E-02 -. 5672E-03 .1012E-01 / 1006E-02 -. 1284E-02 -. 4231E-0317 -. 7526E-04 -. 3444E-03 .5695E-04 / .2155E-03 .1012E-04 .1578E-0316 .2936E-04 .1081E-02 -. 7087E-03 / .2032E-03 .3743E-04 .3249E-0419 .1340E-03 -. 3087E-03 .5294E-04 / .1909E-03 -. 2808E-03 -. 3785E-0320 .7766E-03 -. 3444E-03 -. 1106E-02 / .2155E-03 .1012E-04 .1578E-0321 -. 1909E-02 -. 3087E-03 -. 9776E-03 / .1909E-03 -. 2808E-03 -. 3785E-03

22 . O000E+00 . 0000E+00 . O000E+O0 / .1220E-03 -. 3554E-04 .1578E-0323 . OOOOE+00 . OOOOE+00 . O000E+00 / -. 2533E-04 .2585E-04 .1578E-0324 OOOOE+00 .0000E+00 .000E+00 / .1089E-03 .1890E-03 -. 3785E-0325 . 0000E+00 . OOOOE+00 . C)00E+O0 / -. 2321E-04 .7969E-04 -. 3785E-03

%I&&Z

2 29FMC CORPORATION S/N:800484 03-09-87

PAGE 4I M A G E S 3 D .. =

= Copyright (c) 1984 Celestial Software Inc.

I SOLVE DISPLACEMENTS Version 1.3 03/01/86

,N" LTHD Trail Diaphragm -- 3/3/87 re-design


CONCENTRATED LOADS


7 .000E+OC0 -. 2476E+05 .3479E+04 .8665E+05 .000E+00 .0000E+00

I

i

FMC CORPORATION S/N: 8l0484 03-09-87 2PAGE 5

- Copyright (c) 1984 Celestial Software Inc.

I SOLVE DISPLACEMENTS Version 1.3 03/01/86


LOAD CASE 2F2 Cylinder Load OnlyI APPLIED LOAD VECTOR

Node Fx Fy Fz Mx My Mz-- ------------------------- ---------- --------- --------- --------- ---------

7 . OOOOE+O0 -. 2476E+05 .3479E+04 .8665E+05 . OOOOE+O0 . OOOOE+O0

I':

I

* - ', -'I,. "p- .. . , . " - * " . ,. • • . ,

FMC CORPORATION S/N:B )0484 03-09-67

PAGE 6

I M A G E S 3 D .........= Copyright (c) 1984 Celestial Software Inc.




DISPLACEMENTS

Trans1 at i on s / ot a t i on sNode X Y Z / X Y Z----------------- ---------- ---------- -/--------- ---------- ---------- ----------

I .0000E+00 . 0000E+00 .0000E+00 / .4247E-02 .0000E+00 . O000E+002 . 0000E+00 . OOCE+00 .0000E+00 / .3246E-02 .0000E+00 . OO0E+003 -. 1547E-02 -. 1457E-02 -. 1620E-01 / .5112E-02 -. 1149E-02 -. 2759E-024 -. 1237E-02 -. 1810E-01 -. 1173E-01 / .1066E-01 -. 1461E-02 -. 4972E-025 -. 9267E-03 -. 3738E-01 -. 6961E-02 / .1620E-01 -. 1387E-02 -. 4774E-026 -. 6166E-03 -. 5298E-01 -. 2885E-02 / .2175E-01 -. 9294E-(')3 -. 2164E-027 -. 4249E-03 -. 5967E-01 -. 6655E-03 / .2729E-01 -. 2629E-03 .5332E-048 -. 2332E-03 -. 5261E-01 -. 1408E-02 / .2148E-01 .4362E-03 .2256E-029 .7688E-04 -. 3673E-01 -. 4130E-02 / .1566E-01 .1017E-02 .4767E-02

10 .3870E-03 -. 1750E-01 -. 7980E-02 / .9847E-02 .1296E-02 .48()0E-0211 .6971E-03 -. 1437E-02 -. 1216E-01 / .4032E-02 .1272E-02 .2355E-0212 -. 1151E-01 -. 1233E-02 -. 3264E-01 / .9454E-03 -. 7786E-03 -. 7742E-0313 .9760E-02 -. 1205E-02 -. 2518E-01 / .7583E-03 .9681E-03 .7766E-0314 .7457E-02 -. 6546E-02 -. 1890E-01 / .4133E-03 .1936E-02 -. 5748E-0315 -. 8405E-02 -. 8677E-03 -. 1987E-01 / -. 2071E-02 -. 1748E-03 .7735E-0316 .8408E-02 -. 8279E-03 -. 1533E-01 / -. 1605E-02 .4732E-03 -. 6176E-0317 -. 1099E-03 -. 5027E-03 -. 9828E-04 / -. 4109E-03 .4290E-03 .2303E-0318 .4286E-04 . 157BE-02 -. 1270E-02 / -. 3489E-03 -. 5733E-114 .4742E-0419 .1956E-03 -. 4505E-03 -. 7531E-04 / -. 2868E-03 -. 2187E-04 -. 5525E-0320 .1134E-02 -. 5027E-03 .2120E-02 / -. 4109E-03 .4290E-03 .2303E-0321 -. 2787E-02 -. 4505E-03 .1473E-02 / -. 268E-03 -. 2187E-04 -. 5525E-03

22 OOOOE+00 .O0OOE+00 . OO O0E+00 / . 1536E-04 -. 2501E-03 .2303E-0324 . 0000E+0C 00o0E400 . 0000E+00 / .1997E-03 -. 1604E-03 .2303E-03

S24 .0000))CE+00: .0000E+00 . OC00'0E+C0O / .3205E-04 .9022E-04 -. 5525E-03

25 . O000E+O0 . 000E+0 .0000E+00 / -. 1608E-03 -. 6930E-04 -. 5525E-03

V,1


....- I M A G E S 3D . ..=== Copyright (c) 1984 Celestial Software Inc.

i SOLVE DISPLACEMENTS Version 1.3 03/01/86


LOAD CASE 3F1 + F2 Cylinder Loads

CONCENTRATED LOADS

Node Fx Fy Fz Mx My Mz---------------- ---------- ---------- ---------- ---------- ---------- ----------

7 .000E+OC) -. 4172E+05 -. 7119E+04 .4510E+04 .0000E+00 .0000E+00

....


---------------------- IM A G E S 3 D .......Copyright (c) 1984 Celestial Software Inc.

a SOLVE DISPLACEMENTS Version 1.3 03/01/86


LOAD CASE 3

Fl + F2 Cylinder Loads

APPLIED LOAD VECTOR


7 . OOO)OE+'(O0 -. 4172E+05 -. 7119E+04 .4510E+04 . 00 E+OC . O0OE+00

ik

2 ",,-: '

FMC CORPORATION S/N: 800')484 071-09-87PAGE 9

= = I MA ES 3 D-=.--------


B SOLVE DISPLACEMENTS Version 1.3 03/01/86


LOAD CASE 3F1 + F2 Cylinder Loads

DISPLACEMENTS

T r a n s 1 a t i o n s /R o t a t i o n sNode X Y Z / X Y Z---------------- ---------- -------------------- ---------- ---------- ----------

I .0000E+00 000E+00 OOOOE+0 / .2719E-02 .0000E+00 . O000E+002 . OOC E+O . 00CE+0 .O00CE+O0 / .2052E-02 . OCOE+00 .O00CE+03 -. 2607E-02 -. 2455E-02 -. 1247E-01 / .2062E-02 .1829E-02 -. 4650E-024 -. 2084E-02 -. 3050E-01 -. 1958E-01 / .2266E-012 .2234E-02 -. 8379E-025 -. 1562E-02 -. 6299E-01 -. 2689E-01 / .2469E-02 .1976E-02 -. 8045E-026 -. 1039E-02 -. 8928E-01 -. 3265E-01 / .2673E-02 .1055E-02 -. 3646E-027 -. 7160E-03 -. 1006E+00 -. 3490E-01 / .2877E-02 -. 1971E-03 .8986E-04

8 -. 393()E-03 -. 8866E-01 -. 3152E-01 / .2489E-02 -. 1417E-02 .38C2E-029 .1295E-03 -. 6189E-01 -. 2475E-01 / .2101E-02 -. 2215E-02 .8032E-0210 .6521E-03 -. 2949E-01 -. 1686E-01 / .1714E-02 -. 2270E-02 .8088E-0211 .1175E-02 -. 2421E-02 -. 9803E-02 / .1326E-02 -. 1581E-02 .3968E-0212 -. 1940E-01 -. 2077E-02 -. 1833E-01 / .1888E-03 .1519E-02 -. 1305E-0213 .1645E-01 -. 2031E-02 -. 1327E-01 / .4962E-04 -. 1285E-02 .1309E-0214 .1257E-01 -. 1103E-01 -. 1573E-01 / -. 6153E-03 .3614E-03 -.9687E-0315 -. 1416E-01 -. 1462E-02 -. 1032E-01 / -.1114E-02 .1014E-02 .1303E-02

16 .1417E-01 -. 1395E-02 -. 7119E-02 / -. 8022E-03 -. 8031E-03 -. 1041E-0217 -. 1651E-03 -. 8470E-03 -. 5396E-04 / -. 2495E-03 .5079E-03 .3882E-0318 .7222E-04 .2660E-02 -. 2218E-02 / -. 1905E-03 -. 2706E-04 .7991E-0419 .3296E-03 -. 7592E-03 -. 3158E-04 / -. 1315E-03 -. 3208E-03 -. 9310E-0320 .1910E-02 -. 8470E-03 .1293E-02 / -. 2495E-03 .5079E-03 .3882E-03

21 -. 4696E-02 -. 7592E-03 .6784E-03 / -. 1315E-07 -.3208E-03 -. 9310E-0322 .O0C00E+O0 . C)C)E+00 . 000E+00 / .1253E-03 -. 3185E-03 .3882E-0323 . 0000E+O0 O000E+O0 . O000E+00 / -. 2372E-03 -. 1675E-03 .3882E-03

24 .000E+0 . OC0)OOE+0 . O000E+00 / .1329E-03 .2879E-03 -. 9310E-0325 . C0OOE+00 . O000E+00 .OOCE+00 / -. 1920E-0, . 1907E-04 -. 9310E-03

4 -

FMC CORFORATION S/N:800464 03-09-87PAGE 1

--------------- I M A G E S 3 DCopyright (c) 1984 Celestial Software Inc. =

SOLVE BEAM LOADS/STRESSES Version 1.3 03/01/86

'l LTHD Trail Diaphragm -- 3/3/87 re-design

Load Case 1:F1 Cylinder Load Only

BEAM LOADS AND/OR STRESSES

LLoads Node Axial Y-Shear Z-Shear Torsion Y-Bending Z-Bending-N /Stress

***BEAM NO. 1***

LLoads 20 -. 6151E-13 .1760E-10 -. 6192E-11 -. 4094E-15 .1668E-10 .4789E-10LLoads 17 .6151E-13 -. 1760E-14) .6192E-11 .4094E-15 .1652E-10 .4792E-10Stress 20 .3200E-13 .2079E-10 -. 7313E-11 .1784E-15 -. 3114E-10 -. 1084E-10Stress 17 .3200E-13 .2079E-10 -. 7313E-11 .1784E-15 .3116E-10 .1074E-10

***BEAM NO. 2***

LLoads 17 .7684E+03 .4691E+03 .1012E+04 -. 2222E+04 -. 8627E+04 .3679E+04LLoads 15 -. 7684E+03 -. 4691E+03 -. 1012E+04 .2222E+04 -. 1822E+04 .1163E+04Stress 17 -. 3998E+03 .5541E+03 .1196E+04 .9686E+03 -. 2392E+04 .5610E+04

, . Stress 15 -. 3998E+03 .5541E+03 .1196E+04 .9666E+03 .7565E+03 -. 1185E+04***BEAM NO. 3***

LLoads 15 .7684E+03 .4691E+03 .1012E+04 -. 2222E+04 .1622E+04 -. 1163E+04LLoads 12 -. 7684E+03 -. 4691E+03 -. 1012E+04 .2222E+04 -. 1227E+05 .6006E+04Stress 15 -. 3998E+03 .5541E+03 .1196E+04 .9686E+03 .7565E+03 -. 1185E+04Stress 12 -. 3998E+03 .5541E+03 .1196E+04 .9686E+03 .3905E+04 -. 7978E+04

***BEAM NO. 4***LLoads 12 .7684E+03 .4691E+03 .1012E+04 -. 2222E+04 .1227E+05 -. 6006E+04LLoads 3 -. 7684E+03 -. 4691E+03 -. 1012E+04 .2222E+04 -. 1868E+05 .8977E+04Stress 12 -. 3998E+03 .5541E+03 .1196E+04 .9686E+03 .3905E+04 -. 7978E+04Stress 3 -. 3998E+03 .5541E+03 .1196E+04 .9686E+03 .5837E+C)4 -. 1215E+05

***BEAM NO. 5***LLoads 3 -. 7597E+04 .3036E+04 .6345E+04 .1444E+05 -. 2643E+05 .2216E+05

LLoads 1 .7597E+04 -. 3036E+04 -. 6345E+04 -. 1444E+05 -. 6268E-10 -. 9509E+04Stress 3 .3953E+04 .3585E+04 .7494E+04 -. 6293E+04 -. 1441E+05 .1719E+05Stress 1 .3953E+04 .3585E+04 .7494E+04 -. 6293E+04 -. 6183E+04 -. 4076E-10

***BEAM NO. 6**

LLoads 21 .9492E-13 .1994E-10 .4502E-11 -. 4186E-13 -. 1185E-10 .5464E-10LLoads 19 -. 9492E-13 -. 1994E-10 -. 4502E-11 .4186E-13 -. 1196E-10 .5507E-10Stress 21 -. 4939E-13 .2356E-10 .5317E-11 .1824E-13 -. 3553E-10 .7708E-11Stress 19 -. 4939E-13 .2356E-10 .5317E-11 .1824E-13 .3581E-10 -. 7775E-11

***BEAM NO. 7***LLoads 19 .7942E+03 .3274E+03 -. 8546E+03 .1947E+04 .7166E+04 .1840E+C)4LLoads 16 -. 7942E+03 -. 3274E+03 .8546E+03 -. 1947E+04 .1655E+04 .1539E+04Stress 19 -. 4132E+03 .3867E+03 -. 1009E+04 -. 8484E+03 -. 1197E+04 -. 4660E 04Stress 16 -. 4132E+03 .3867E+03 -. 1009E+04 -. 8484E+03 .1001E+04 .1C'76E+04

***BEAM NO. 8***LLoads 16 .7942E+03 .3274E+03 -. 8546E+03 .1947E+04 -. 1655E+04 -. 1539E+04LLoads 13 -. 7942E 03 -.3274E+C)3 .8546E+03 -. 1947E+04 .1048E+05 .4919E+04

a Stress 16 -. 4132E+03 .3867E+03 -. 1009E+04 -. 8484E+03 .1001E+04 . 1076E+04Stress 13 -. 4132E+03 .3867E+03 -. 1009E+04 -. 8484E+03 .3198E+04 .6812E+04

FMC CORPORATION SN:8O00484 03-09-87PACE 2

mP ====== ......... I M A G E S D = = " =


3 SOLVE BEAM LOADS/STRESSES Version 1.3 03/01/86


" Load Case I:FI Cylinder Load Only

LLoads Node Axial Y-Shear Z-Shear Torsion Y-Bending Z-Bending/Stress

***BEAM NO. 9***LLoads 13 .7942E+03 .3274E+03 -. 8546E+03 .1947E+04 -. 1 048E+C)5 -. 4919E+04LLoads 11 -. 7942E+03 -. 3274E+03 .8546E+03 -. 1947E+04 .1589E+05 .6992E+04Stress 13 -. 4132E+03 .3867E+03 -. 1009E+04 -. 8484E+0-) .3198E+04 .6812E+C04Stress 11 -. 4132E+03 .3867E+03 -. 1009E+04 -. 8484E+03 .4547E+04 1033E+05L*BEAM NO. 10***LLoads 11 -. 7492E+04 .3041E+04 -. 6254E+04 -. 1396E+05 .2606E+05 .1984E+05LLoads 2 .7492E+04 -. 3041E+04 .6254E+04 .1396E+05 -. 6147E-09 -. 7177E+04Stress 11 .3898E+04 .3591E+04 -. 7387E+C)4 .6062E+04 -. 1290E+05 -. 1694E+05Stress 2 .3898E+04 .3591E+04 -. 7387E+04 .60:82E+04 -. 4667E+04 -. 3997E-09

***BEAM NO. 11***LLoads 3 -. 2566E+04 .8366E+04 .5332E+04 .4511E+05 -. 1666E+05 .3113E+05

- LLoads 4 .2566E+04 -. 8366E+04 -. 5332E+04 -. 4511E+05 .2665E+04 -. 9173E+04Stress 3 . 1335E+04 .9881E+04 .6298E+04 -. 1966E 05 -. 2024E+05 . 1083E+05Stress 4 .1335E+04 .9881E+04 .6298E+04 -. 1966E+05 -. 5965E+04 .1733E+04

***BEAM NO. 12***

LLoads 4 -. 2566E+04 .8366E+04 .5332E+04 .4511E+05 -. 2665E+04 .9173E+04LLoads 5 .2566E+04 -. 8366E+04 -. 5332E+04 -. 4511E+05 -. 1133E+05 .1279E+05Stress 4 .1335E+04 .9881E+04 .6298E+04 -. 1966E+05 -. 5965E+04 .1733E+04Stress 5 .1335E+04 .9881E+04 .6298E+04 -. 1966E+05 .8315E+04 -. 7368E+04

S$***BEAM NO. 13***

LLoads 5 -. 2566E+04 .8366E+04 .5332E+04 .4511E+05 .1133E+05 -. 1279E+05, LLoads 6 .2566E+04 -. 8366E+04 -. 5332E+04 -. 4511E+05 -. 2533E+05 .3475E+05

Stress 5 .1335E+04 .9881E+04 .6296E+04 -. 1966E+05 .3315E+04 -. 7368E+04Stress 6 .1335E+04 .9881E+04 .6298E+04 -. 1966E+05 .2259E+05 -. 1647E+05

**$BEAM NO. 14***le LLoads 6 -. 2566E+04 .6366E+04 .5332E+04 .4511E+05 .2533E+05 -. 3475E+05; LLoads 7 .2566E+04 -. 8366E+04 -. 5332E+04 -. 4511E+05 -. 3933E+05 .5671E+05

Stress 6 .8254E+03 .6107E+04 .3893E+04 -. 2324E+05 .1179E+05 -. 1303E+05Stress 7 .8254E+03 .6107E+04 .3893E+04 -. 2324E+05 .1924E+05 -. 2023E+05

***BEAM NO. 15***LLoads 7 -. 2566E+04 -. 8595E+04 -. 5266E+04 -. 4605E+05 .3933E+05 -. 5671E+05LLoads 8 .2566E+04 .8595E+04 .5266E+04 .4605E+05 -. 2550E+05 .3414E+05

". Stress 7 .8254E+03 -. 6275E+04 -. 3844E+04 .2372E+05 .1924E+05 -. 2023E+05Stress 8 .8254E+03 -. 6275E+0)4 -. 3844E+04 .2372E+05 .1159E+05 -. 1312E+05

***EBEAM NO. 16***

LLoads 8 -. 2566E+04 -. 8595E+04 -. 5266E+04 -. 4605E+05 .2550E+05 -. 3414E+05LLoads 9 .2566E+04 .8595E+04 .5266E+04 .4605E+05 -. 1168E+05 .1158E+05Stress 8 .1335E+04 -. 1015E+05 -. 6219E+04 .2007E+05 .2220E+05 -. 1658E+05Stress 9 .1335E+04 -. 1015E+05 -. 6219E+04 .2007E+05 .7530E+04 -. 7596E+04

***BEAM NO. 17***LLoads 9 -. 2566E+04 -. 8595E+04 -. 5266E+04 -. 4605E+05 .1168E+05 -. 1158E+05

1g., . . , - . . ...... ..

FMC CORPORATION S/N:800484 (1-09-87PAGE

I M A G E S 3 DCopyright (c) 1984 Celestial Software Inc. -





LLoads 10 .2566E+04 .8595E+04 .5266E+04 .4605E+05 .2141E+04 -. 1098E+05Stress 9 . 1335E+04 -. 1015E+05 -. 6219E+04 .2C'07E+05 .7570CE+04 -. 7596E+04Stress 10 .1335E+04 -. 1015E+05 -. 6219E+04 .2007E+05 -. 7141E+04 .1392E+04

***BEAM NO. 18***LLoads 10 -. 2566E+04 -. 8595E+04 -. 5266E+04 -. 4605E+05 -. 2141E+04 .1098E+05LLoads 11 .2566E+04 .8595E+04 .5266E+04 .4605E+05 .1596E+05 -. 3354E+C05Stress 10 .1335E+04 -. 1015E+05 -. 6219E+04 .2007E+05 -. 7141E+04 .1392E+04Stress 11 .1335E+04 -.1015E+05 -. 6219E+04 .2007E+05 -. 2181E+05 .1038E+05

***BEAM NO. 19***LLoads 17 -. 3160E+03 -. 9041E+02 .1094E+03 .2347E+02 -. 6648E+03 -. 5824E+02LLoads 18 .3160E+03 .9o41E+0)2 -. 1094E+03 -. 2347E+02 -. 4834E+03 -. 8911E+03Stress 17 .1644E+03 -. 1068E+03 .1292E+03 -. 1023E+02 .3787E+02 .4323E+03Stress 18 .1644E+03 -. 1068E+03 .1292E+03 -. 1023E+02 -. 5794E+03 -. 3143E+03

***BEAM NO. 20***LLoads 18 -. 3160E+03 -. 9041E+02 .1094E+03 .2347E+02 .4834E+03 .8911E+03LLoads 19 .3160E+03 .9041E+02 -. 1094E+03 -. 2347E+02 -. 1632E+04 -. 1840E+04Stress 18 .1644E+03 -. 10C68E+03 .1292E+03 -. 1023E+02 -. 5794E+03 -. 3143E+03Stress 19 .1644E+03 -. 1068E+C)3 .1292E+03 -. 1023E+02 -. 1197E+04 -. 1061E+04

***BEAM NO. 21***LLoads 17 .1536E+03 .3055E+03 -. 1340E+03 .2569E+04 .1382E+04 .3737E+04

LLoads 14 -. 1536E+03 -. 3055E+03 .1340E+03 -. 2569E+04 .9088E+03 .1485E+04Stress 17 -. 7993E+02 .3609E+03 -. 1583E+03 -. 1119E+04 -. 2430E+04 -. 8988E+03Stress 14 -. 7993E+02 .3609E+03 -. 1583E+03 -. 1119E+04 .9659E+03 .5909E+03

***BEAM NO. 22***LLoads 14 .1536E+03 .3055E+03 -. 1340E+03 .2569E+04 -. 9087E+03 -. 1485E+04LLoads 11 -. 1536E+03 -. 3055E+03 .1340E+03 -. 2569E+04 .3200E+04 .6708E+04

. Stress 14 -. 7992E+02 .3609E+03 -. 1583E+03 -. 1119E+04 .9659E+03 .5909E+03Stress 11 -. 7992E+02 .3609E+03 -. 1583E+03 -. 1119E+04 .4362E+04 .2081E 04

***BEAM NO. 23***

LLoads 17 -. 5185E+03 -. 6261E+03 .4781E+01 .2980E-14 -. 1733E+02 -. 2269E+04. LLoads 22 .5185E+03 .6261E+03 -. 4781E+01 -. 2980E-14 .1650E-12 -. 6434E-10

Stress 17 .2592E+03 -. 3694E+03 .2821E+01 -. 3576E-13 .1702E+04 .1039E+03Stress 22 .2592E+03 -. 3694E+03 .2821E+01 -. 3576E-13 -. 4825E-10 .9890E-12

: -N***BEAM NO. 24***LLoads 17 .5185E+03 .1613E+04 -. 1647E+01 -. 2980E-14 .5972E+01 .5847E+04LLoads 23 -. 5185E+03 -. 1613E+04 .1647E+01 .2980E-14 .1085E-12 .1757E-10Stress 17 -. 2592E+03 .9516E+03 -. 9720E+00 .3576E-13 -. 4385E+04 -. 3580E+02Stress 23 -. 2592E+03 .9516E+03 -. 9720E+00 .3576E-13 .1317E-10 .6503E-12

***BEAM NO. 25***LLoads 19 -. 4820E+03 -. 5494E+03 -. 4920E+02 -. 1547E-14 .1793E+03 -. 1991E+04

"%I LLoads 24 .4820E+03 .5494E+C3 .4920E+02 .1547E-14 -. 1309E-11 .8728E-10t Stress 19 .2410E+03 -. 3241E+03 -. 2903E+02 .1856E-13 .1494E+04 -. 1069E+04

~~A.


.. . ...= =I M A G E S 3 D .......... ....= Copyright (c) 1984 Celestial Software Inc. -




i LLoads Node Axial Y-Shear Z-Shear Torsion Y-Bending Z-Bending/Stress

Stress 24 .2410E+03 -. 3241E+03 -. 2903E+02 .1856E-13 .6546E-10 -. 7847E-11*' *BEAM NO. 26* $

LLoads 19 .4820E+03 .1434E+04 -. 3775E+02 .1547E-14 .1368E+03 .5198E+04LLoads 25 -. 4820E+03 -. 1434E+04 .3775E+02 -. 1547E-14 -. 2326E-12 .5867E-11Stress 19 -. 2410E+03 .8460E+03 -. 2227E+02 -. 1856E-13 -. 3898E+04 -. 8204E+03Stress 25 -. 2410E+03 .8460E+03 -. 2227E+02 -. 1856E-13 .4400E-11 -. 1394E-11

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4,

..,


. I M A G E S 3 DCopyright (c) 1984 Celestial Software Inc.

3 SOLVE BEAM LOADS/STRESSES Version 1.3 03/01/86

, LTHD Trail Diaphragm -- 3/3/87 re-design


MAXIMUM STRESS SUMMARY FOR BEAMS/TRUSSESWITHIN SPECIFIED RANGE 1- 26

Max:imum (absolute) Stress .2372E+05 at BEAM 15

Beam Axial Y-Shear Z-Shear Torsion Y-Bending Z-Bending

15 8254E+(3 -. 6275E+04 -. 3844E+04 .2372E+05 .1924E+05 -. 2023E+05

*p .9t

-'- -2' J"~(~ .''

FMC CORPORATION S/N:8(00484 0 -. 9-87~PAGE==== === === == 1 M A G E S D == = . . ..=

Copyrght 1984 Celestial Software Inc.

SOLVE REACTIONS Version 1.3 03/01/86



REACTIONS

Node F., Fy Fz Mx My Mz

1 -. 30336E+04 .7597E+04 .6345E+04 .0000E+0o -. 1444E+05 .9509E+042 .3:41E+04 .7492E+04 .6254E+04 .000E+O0 . 1396E+05 -. 7177E+04

.4781E+01 -. 6261E+03 -. 5185E+03 .O00C:)E+O) . 000E+C( . 00',OE+ OkS.1647E 01 . 1613E+04 -. 5185E+03 .0000E+C0 .0000E 00 . 0000E+0c

24 -. 492'()E+02 -. 5494E+03 -. 4820E+03 . OOOOE+O0 . O000E+00 . O000E+OC)25 • 3775E+02 . 1434E+(:)4 -. 4820E+03 . O000E+O0 . 00CE+00 . COC)E+C0

,,.

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e_4-

l

?I

FMC CORFORATION S/N: 800484 03-09-6713" . PAGE

iI ... ... .. . I M A G E S 3 D . . . . . .

= Cpyrght(c)1984 Celestial Software Inc.=






***BEAM NO. 1***

LLoads 20 .1465E-12 -. 1962E-10 .3477E-11 -. 1665E-13 -. 7401E-10 -. 5295E-10LLoads 17 -. 1465E-12 .1962E--10 -. 3477E-11 .1665E-13 .5573E-10 -. 5312E-10Stress 20 -. 7625E-13 -. 2317E-10 .4107E-11 .7258E-14 .3443E-10 .4812E-10

Stress 17 -,7625E-13 -. 2717E-10 .4107E-11 .7256E-14 -. 3454E-10 .3624E-10***BEAM NO. 2***

LLoads 17 .1122E+04 .6848E+03 -. 1532E+04 .1171E+04 .1352E+05 .5370E+04LLoads 15 -. 1122E+04 -. 6648E+03 .1532E+04 -. 1171E+04 .2293E+04 .1698E+04

.. , Stress 17 -. 5836E+03 .8088E+03 -. 1809E+04 -. 5105E+03 -. 3492E+04 -. 878E+04• . Stress 15 -. 5836E+03 .8088E+03 -. 1809E+04 -. 5105E+03 .1104E+04 .1491E+04

***BEAM NO. 3**

LLoads 15 .1122E+04 .6848E+03 -. 1532E+04 .1171E+04 -. 2293E+04 -. 1698E+04LLoads 12 -. 1122E+04 -. 6848E+03 .1532E+04 -. 1171E+04 .1810E+05 .8766E+C04

* Stress 15 -. 5836E+03 .8088E+03 -. 1809E+04 -. 5105E+03 .11%4E-C04 .1491E+04Stress 12 -. 5836E+03 .8( 88E+03 -. 1809E+04 -. 5105E+03 .5700E+04 .1177E+05

.- ,, $***BEAM NO. 4***S.'- LLoads 12 .1122E+04 .6848E+03 -. 1532E+04 .1171E+04 -. 1810E+05 -. 8766E+04

- LLoads 3 -. 1122E+04 -. 6848E+03 .1532E+04 -. 1171E+04 .2780E+05 .1310E+05Stress 12 -. 5836E+03 .. 8088E+03 -. 1809E+04 -. 5105E+03 .5700E+04 .1177E+05Stress 3 -. 5836E+03 .8088E+03 -. 11309E+04 -. 5105E+03 .8520E+04 .180BE+05

***BEAM NO. 5***LLoads 3 -. 1109E+05 .4431E+(-4 -. 7479E+04 -. 5523E+04 .1449E+05 .3234E+05LLoads I . 1109E+05 -. 4431E- -04 .3479E+04 .5523E+04 -. 3201E-09 -. 1388E+05Stress 3 .5770E+04 .5233E+04 -. 4109E+04 .240)7E+04 -. 2103E+05 -. 9424E+04

- Stress 1 .5770E+04 .5233E+04 -. 4109E+04 .2407E+04 -. 9025E+04 -. 2081E-09***BEAM NO. 6**

LLoads 21 .2023E-12 -. 4219E-10 .5202E-11 .2498E-15 -. 1450E-10 -. 1131E-09A.-: LLoads 19 -. 2023E-12 .4219E-10 -. 5202E-11 -. 2498E-15 -. 1429E-10 -. 1130E-09

Stress 21 -. 1053E-12 -. 4987E-10 .6144E-11 -. 1089E-15 .7357E-10 .9429E-11Stress 19 -. I053E-12 -. 4987E-10 .6144E-11 -. 1089E-15 -. 7346E-10 -. 9289E-11

***BEAM NO. 7*22

LLoads 19 .1159E+04 .4779E 03 .1206E+04 -. 9602E+03 -. lObBE+05 .2686E+04LLoads 16 -. 1159E+04 -. 4779E+03 -. 1206E+04 .9602E+03 -. 1767E+04 .2247E+C)4Stress 19 -. 6032E+03 .5645E+03 .1425E+04 .4185E+03 -. 1747E+04 .6946E+04Stress 16 -. 6032E+03 .5645E+03 .1425E+04 .4185E+03 .1461E+04 -. 1149E+04

***BEAM NO. 8**

LLoads 16 .1159E+04 .4779E+03 .120-)6E+04 -. 9602E+03 .1767E+04 -. 2247E+04* LLoads 13 -. 1159E+04 -. 4779E+03 -. 1206E+04 .9602E+03 -. 1421E+05 .7179E+04

I Stress 16 -. 6032E+07 .5645E+-- .1425E+04 .4185E+07 .1461E+04 -. 1149E+04Stress 13 -. 6O0DE+C'-3 .5645E+03 .1475E+04 .4185E+03 .4666E+04 -. q243E404

°=-

Si°

- - -. -----------

FMC CORPORATION S/N: 800484 03-09-87PAGE 2

I M A G E S 3 DCopyright (c) 1984 Celestial Software Inc.

U SOLVE BEAM LOADS/STRESSES Version 1.3 03/01/86



, LLoads Node Axial Y-Shear Z-Shear Torsion Y-Bending Z-Bending/Stress

***BEAM NO. 9***LLoads 13 .1159E+04 .4779E+03 .1206E+04 -. 9602E+03 .1421E+05 -. 7179E+04LLoads 11 -. 1159E+04 -. 4779E+03 -. 1206E+04 . 9602E+o3 -. 2185E+05 .1021E+05Stress 13 -. 6032E+03 .5645E+03 .1425E+04 .4185E+03 .4668E+04 -. 9243E+04Stress 11 -. 6032E+03 .5645E+03 .1425E+(:04 .4185E+03 .6637E+04 -. 1421E+05

***BEAM NO. 10***

LLoads 11 -. 1094E+05 .4438E+04 .3161E+04 .6113E+04 -. 1317E+05 .2B97E+05LLoads 2 .1094E+05 -. 4438E+04 -. 3161E+04 -. 6113E+04 .2666E-09 -. 1048E+05Stress 11 .5690E+04 .5242E+04 .3733E+04 -. 2664E+04 -. 1883E+05 .8562E+04Stress 2 .5690E+04 .5242E+04 .3733E+04 -. 2664E+04 -. 6812E+04 . 1734E-09

***BEAM NO. 11*5*LLoads 3 -. 3746E+04 .1221E+C)5 -. 1947E+04 -. 4229E+05 .6694E+04 .4544E+05

* LLoads 4 .3746E+04 -. 1221E+05 .1947E+04 .4229E+05 -. 1582E+04 -. 1339E+05Stress 3 .1949E+04 . 1442E+05 -. 2300E+04 .1843E+05 -. 2955E05 -. 4353E+04Stress 4 . 1949E+04 . 1442E+05 -. 230E+04 . 1843E+05 -. 8706E+04 -. 1029E+04

***BEAM NO. 12***

LLoads 4 -. 3746E+04 .1221E+05 -. 1947E+04 -. 4229E+05 .1582E+04 .1379E+05LLoads 5 .3746E+04 -. 1221E+05 .1947E+04 .4229E+05 .3530E+04 .1866E+05Stress 4 . 1949E+04 . 1442E+05 -. 2300E+04 . 1843E+05 -. 8706E+04 -. 1029E+04

% Stress 5 .1949E+04 .1442E+05 -. 2300E+04 .1843E+05 .1214E+05 .2295E+04***BEAM NO. 13***

LLoads 5 -. 3746E+04 .1221E+05 -. 1947E+04 -. 4229E+05 -. 3530E+04 -. 1866E+05! LLoads 6 .3746E+04 -. 1221E+05 .1947E+04 .4229E+05 .8642E+04 .5072E+05Stress 5 .1949E+04 .1442E+05 -. 2300E+04 .1843E+05 .1214E+05 .2295E+04Stress 6 .1949E+04 .1442E+05 -. 2300E+04 .1843E+05 .3298E+05 .5619E+04

***BEAM NO. 145**LLoads 6 -. 3746E+04 .1221E+05 -. 1947E+04 -. 4229E+05 -. 8642E+04 -. 5072E+05LLoads 7 .3746E+04 -. 1221E+05 .1947E+04 .4229E+05 .1375E+05 .8277E+05Stress 6 .1205E+04 .8914E+'4 -. 1422E+04 .2178E+05 .1721E+05 .4446E+-)4

_* Stress 7 . 1205E+04 .8914E+04 -. 1422E+04 .2178E+05 2809E+05 7076E+04***BEAM NO. 15***

LLoads 7 -. 3746E+C04 -. 1255E+05 .1532E+04 .4435E+05 -. 1375E+C'5 -. 8277E+05LLoads 8 .3746E+04 . 1255E+05 -. 1532E+04 -. 4435E+05 .9733E+04 .4984E+05Stress 7 .1205E+04 -. 9159E+04 .1118E+04 -. 2284E+05 .2809E+05 .7076E+04Stress 8 .1205E+04 -. 9159E+04 .1118E+04 -. 2284E+05 .1691E+05 .5017E+04

***BEAM NO. 16*$*LLoads 8 -. 3746E+04 -. 1255E+05 .1532E+04 .4435E+05 -. 9733E+04 -. 4984E+05LLoads 9 3746E+04 .1255E+05 -. 1532E+C)4 -. 4435E 05 .5713E 0)4 169w)E +0Stress 8 .1949E+04 -. 1482E+05 .1809E+04 -. 1933E+05 .3241E+05 .6-29E(4Stress 9 .1949E+04 -. 1482E+05 . 1809E+04 -. 1933E+05 .1099E+05 .,3715E+04

***BEAM NO. 17***LLoads 9 -. 3746E+04 -. 1255E+05 .1532E+04 .4435E+05 -. 5713E+04 -. 1690E 05

,, .*

FMC CORPORATION S/N: 800484 03-09-87 33FPAGE Z.

= = = I M A GE S 3 D= = =

- Copyright (c) 1984 Celestial Software Inc.

I SOLVE BEAM LOADS/STRESSES Version 1.3 03/01/86




LLoads 10 .3746E+04 .1255E+05 -. 1532E+04 -. 4435E+05 .1693E+04 -. 1603E+05Stress 9 .1949E+C)4 -. 1482E+05 .1809E+04 -. 1933E+05 .1099E+05 .3715E+04Stress 10 .1949E+04 -. 1482E+05 .1809E+04 -. 1933E+05 -. 1042E+05 .1101E+04

***BEAM NO. 18***

LLoads 10 -. 3746E+04 -. 1255E+05 .1532E+04 .4435E+05 -. 1693E+04 .1603E+05LLoads 11 .3746E+04 .1255E+05 -. 1532E+04 -. 4435E+05 -. 2328E+04 -. 4896E+05Stress 10 .1949E+04 -. 1482E+05 .1809E+04 -. 1933E+05 -. 1042E+05 .1101E+04Stress 11 .1949E+04 -. 1482E+05 .1809E+04 -. 1933E+05 -. 3184E+05 -. 1514E+04

***BEAM NO. 19***

LLoads 17 -. 4612E+03 -. 1320E+03 -. 1651E+03 -. 1183E+03 .2483E+04 -. 8501E+02LLoads 18 .4612E+03 .1320E+03 .1651E+03 .1183E+03 -. 7491E+03 -. 1301E+04Stress 17 .2400E+03 -. 1559E+03 -. 1950E+03 .5157E+02 .5528E+02 -. 1615E+04Stress 18 .2400E+03 -. 1559E+03 -. 1950E+03 .5157E+02 -. 8458E+03 -. 4871E+03

***BEAM NO. 20***

LLoads 18 -. 4612E+03 -. 1320E+03 -. 1651E+03 -. 1183E+03 .7491E+03 .1301E+04i LLoads 19 .4612E+03 .1320E+03 .1651E+03 .1183E+03 .9848E+03 -. 2686E+04

Stress 18 .2400E+03 -. 1559E+03 -. 1950E+03 .5157E+02 -. 8458E+03 -. 4871E+03Stress 19 .2400E+03 -. 1559E+03 -. 1950E+03 .5157E+02 -. 1747E+04 .6403E+03

***BEAM NO. 21***• LLoads 17 .2242E+03 .4460E+03 .4229E+03 -. 1988E+04 -. 4179E+04 .5455E+04

LLoads 14 -. 2242E+03 -. 4460E+07 -. 4229E+03 .1988E+04 -. 3050E+04 .2168E+04Stress 17 -. 1167E+03 .5267E+03 .4995E+03 .8664E+03 -. 3547E+04 .2718E+04Stress 14 -. 1167E+03 .5267E+03 .4995E+03 .8664E+03 .1410E+04 -. 1983E+04

***BEAM NO. 22***

LLoads 14 .2242E+03 .4460E+03 .4229E+03 -. 1988E+04 .3050E+04 -. 2168E+04LLoads 11 -. 2242E+03 -. 4460E+03 -. 4229E+03 .1988E+04 -. 1028E+05 .9791E+04Stress 14 -. 1167E+03 .5268E+03 .4995E-03 .864E+03 .14loE+04 -. 1983E+04

- Stress 11 -. 1167E+03 .5268E+03 .4995E+03 .8664E+03 .6367E+04 -.664E+04***BEAM NO. 231**

LLoads 17 .B947E 03 .2855E+04 .7111E+02 .6259E-14 -. 2578E+03 1o0'5E+05LLoads 22 -. 8947E+03 -. 2855E+04 -. 7111E+02 -. 6259E-14 .3416E-11 .8368E-11Stress 17 -. 4473E+03 .1684E+04 .4196E+02 -. 7509E-13 -. 7761E+04 .1545E+04

Stress 22 -. 4473E+03 .1684E+04 .4196E+02 -. 7509E-13 .6276E-11 .2048E-10-.***BEAM NO. 24***

LLoads 17 -. 8947E+03 -. 1414E+04 .6173E+02 -. 6259E-14 -. 2238E+03 -. 5126E+04LLoads 23 .8947E+03 .1414E+04 -. 6173E+02 .6259E-14 .9062E-12 -. 4787E-11

-. Stress 17 .4473E+03 -. 8343E+03 .3642E+02 .7509E-13 .3845E+04 .1342E+04Stress 23 .4473E+03 -. 8343E+03 .3642E+02 .7509E-13 -. 3590E-11 .5433E-11

***BEAM NO. 25***

LLoads 19 .6856E+03 .2135E+04 -. 1174E+02 -. 1249E-14 .4255E+02 .7740E+04LLoads 24 -. 6856E+03 -. 2135E+04 .1174E+02 .1249E-14 .3979E-12 -.-2165E-10Stress 19 -. 3428E+03 .1260E+04 -. 6926E+01 .1499E-13 -. 5805E+04 -255 1E +07

' p

e W. -; : .', . -- *. J-e .. : 2 .

FMC CORPORATION S/N:800484 03-09-87 PAGE 4

-------- -----------I M A G E S 3 D-----------------Copyright (c) 1984 Celestial Software Inc.

S SOLVE BEAM LOADS/STRESSES Version 1.3 03/01/86

' LTHD Trail Diaphragm -- 3/3/87 re-design9



Stress 24 -. 3428E+03 .126CE+04 -. 6926E+01 .1499E-13 -. 1623E-10 .238B6E-11***BEAM NO. 26***

LLoads 19 -. 6856E+03 -. 8441E+03 .4967E+01 .1249E-14 -. 1800E+02 -. 3060E+04LLoads 25 .6856E+03 .8441E+03 -. 4967E+01 -. 1249E-14 -. 9372E-12 .1126E-09Stress 19 .3428E+03 -. 4980E+03 .2930E+01 -. 1499E-13 .2295E+04 .1079E+03

Stress 25 .3428E+03 -. 4980E+03 .293C)E+01 -. 1499E-13 .8447E-10 -. 5595E-11

.-

.p..


....... I M A G E S 3 D = =--=


j SOLVE BEAM LOADS/STRESSES Version 1.3 03/01/86


Load Case '2:F2 Cylinder Load Only

• MAXIMUM STRESS SUMMARY FOR BEAMS/TRUSSESWITHIN SPECIFIED RANGE 1- 26

. Maximum (absolute) Stress = .3298E+05 at BEAM 13

Beam Axial Y-Shear Z-Shear Torsion Y-Bending Z-Bending------------------ ---------- ---------- ---------- ---------- ---------- ----------

13 .1949E+04 .1442E+05 -. 23)OE+04 .1843E+05 .3298E+05 .5619E+04

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hi

,%

,- .j

FMC CORPORATION S/N:800484 03-09-87PAGE

--------------- I M A G E S 3D =





REACTIONS


1 -. 4431E+04 . II 09E+05 -. 3479E+04 .OC)00E+00 .5523E+04 .1388E+052 .4438E+04 . 1094E+05 -. 3161E+04 .O000E+00 -. 6113E+04 -. 1048E+)5

22 .7111E+02 .2855E+04 .8947E-03 . 0O00E+00 . O000E+O0 . O000E+C)23 -. 6173E+02 -. 1414E+04 .8947E+03 .OOCOE+00 . 000E+00 .O000E+00

24 -. 1174E+02 .2135E+04 .6856E+03 .000E+00 .O00'E+0 . O000E+0025 -. 4967E+01 -. 8441E+03 .6856E+03 . O0OOE+00 . O000E+00 . O000E+00

% %4 § -

I

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.-.

&.

Lj(FMC CORPORATION S/N: 800484 03-09-87

PAGE ISIM AG ES 3 D==


SOLVE BEAM LOADS/STRESSES Version 1.3 03/01/B6

z LTHD Trail Diaphragm -- 3/3/87 re-design

Load Case 3:F1 + F2 Cylinder Loads



***BEAM NO. 1***

LLoads 20) .3112E-12 -. 2442E-10 .8651E-11 .5962E-13 -. 2320E-10 -. 6535E-10LLoads 17 -. 3122E-12 .2442E-10 -. 8651E-11 -. 5962E-13 -. 2303E-10 -. 6537E-10Stress 20 -. 1624E-12 -. 2884E-10 .1022E-10 -. 2598E-13 .4250E-10 .1509E-10Stress 17 -. 1624E-12 -. 2864E-10 .1022E-10 -. 2598E-13 -. 4251E-10 -. 1498E-10

***BEAM NO. 2***LLoads 17 .1890E+04 . 1154E+04 -. 7100E+03 -. 9809E+03 .6588E+04 .9049E+04LLoads 15 -. 189(.)E+04 -. 1154E+04 .7100E+03 .9809E+03 .7411E+03 .2862E+04Stress 17 -. 9834E+03 . 1363E+04 -. 8386E+-03 .4275E+03 -. 5884E+04 -. 4284E+04

W Stress 15 -. 9834E+03 .1363E+04 -. 836E+03 .4275E+03 .1661E+04 .4619E+03***BEAM NO. 3***

'F LLoads 15 . 1890E+04 . 1154E+04 -. 7100E+03 -. 9609E+03 -. 7411E+03 -. 2862E+04LLoads 12 -. 1890E+04 -. 1154E+04 .7100E+03 .9809E+03 .8069E+04 .1477E+05Stress 15 -. 9834E+03 .1363E+04 -. 8386E+03 .4275E+03 .1861E+04 .4819E+03Stress 12 -. 9634E+03 .1363E+04 -. 8386E+03 .4275E+03 .9605E+04 .5247E+04

***BEAM NO. 4**** LLoads 12 . 1890E+04 .1154E+04 -. 7100E+03 -. 9809E+03 -. 8069E+04 -. 1477E+05

L LLoads 3 -. 1890E+04 -. 1154E+04 .7100E+03 .9809E+03 . 1257E+05 .2208E+05Stress 12 -. 9834E+03 .1363E+04 -.6386E+03 .4275E+03 .9605E+04 .5247E+04Stress 3 -. 9834E+03 .1363E+04 -. 8386E+03 .4275E+03 .1436E+05 .8171E+04

***BEAM NO. 5***LLoads 3 -. 1869E+05 .7467E+04 .2643E+04 .8793E+04 -. 1101E+05 .5449E+05LLoads 1 . 1869E+05 -. 7467E+04 -. 2643E+04 -. 8793E+04 -. 6841E-09 -. 2339E+05Stress 3 .9723E+04 .8819E+04 .3122E+04 -. 3832E+04 -. 3543E+05 .7161E+04Stress 1 .9723E+04 .8819E+04 .3122E+04 -. 3832E+04 -. 1521E+05 -. 4448E-09

***BEAM NO. 6***LLoads 21 .2971E-12 -. 2202E-10 .4149E-11 -. 1787E-13 -. 113BE-10 -. 5805E-10LLoads 19 -. 2971E-12 .2202E-10 -. 4149E-11 .1787E-13 -. 1144E-10 -. 5790E-10Stress 21 -. 1546E-12 -. 2601E-10 .4901E-11 .7790E-14 .3775E-10 .7401E-11Stress 19 -. 1546E-12 -. 2601E-10 .4901E-11 .7790E-14 -. 3765E-10 -. 7440E-11

***BEAM NO. 7***LLoads 19 .1953E+04 .8053E+03 .4987E+03 .9354E+03 -. 4841E+04 .4527E+04LLoads 16 -. 1953E+04 -. 8053E+03 -. 4987E+03 -. 9354E+03 -. 3064E+03 .3786E+04Stress 19 -. 1016E+04 .9512E+03 .5890E+03 -. 4077E+03 -. 2944E+04 .3148E+04Stress 16 -. 1016E+04 .9512E+03 .5890E+03 -. 4077E+03 .2462E+04 -. 199 E+03

***BEAM NO. 8***LLoads 16 .1953E+04 .8053E+03 .4987E+03 .9354E+03 .3064E+03 -. 3786E+04LLoads 13 -. 1953E+04 -. BC)53E+03 -. 4987E+03 -. 9354E+03 -. 5453E+04 . 121C(E+05Stress 16 -. 1016E+04 .9512E+03 .5890E+03 -. 4077E+03 .2462E+04 -. 1993E+CcStress 13 -. 1(16E+04 .9512E+07 .5890E+03 -. 4077E+07 .7867E+u4 -. 7546E+C%4

96'

ii k~

FMC CORPORATION S/N: 800484 03-09-67 L IPAGE 2

.I M A G E S 3 DCopyright (c) 1984 Celestial Software Inc.





***BEAM NO. 9***LLoads 13 .1953E+04 .8053E+03 .4987E+03 .9354E+03 .5453E+04 -. 1210E+05LLoads 11 -. 1953E+C)4 -. 83053E+03 -. 4987E+03 -. 9354E+03 -. 8612E+04 . 1720E+05Stress 13 -. 1016E+04 .9512E+03 .5890E+03 -. 4077E+03 .7867E+04 -. 3546E+04Stress 11 -. 1016E+04 .9512E+03 .5890E+03 -. 4077E+03 .1118E+05 -. 5600E+04

***BEAM NO. 10***LLoads 11 -. 1843E+05 .7479E+04 -. 2918E+04 -. 7599E+04 .1216E+05 .4881E+05LLoads 2 .1843E+05 -. 7479E+04 .2918E+04 .7599E+04 -. 2509E-09 -. 1765E+05Stress 11 .9589E+04 .8833E+04 -. 3446E+04 .3312E+04 -. 3174E+05 -. 7904E+04Stress 2 .9589E+04 .8833E+04 -. 3446E+04 .3312E+04 -. 1148E+05 -. 1631E-09

***BEAM NO. 11,**LLoads 3 -. 6313E+04 .2058E+05 .3354E+04 -. 1554E+04 -. 9774E+04 .7658E+05LLoads 4 .6313E+04 -. 2058E+05 -. 3354E+(:4 .1554E+(:04 .9706E+03 -. 2256E+05Stress 3 .3285E+04 .2430E+05 .3961E+04 .6771E+03 -. 4979E+05 .6355E+04Stress 4 .3285E+04 .243)E+05 .3961E+04 .6771E+C3 -. 1467E+05 .6311E+03

***BEAM NO. 12**** LLoads 4 -. 6313E+04 .2058E+C)5 .3354E+04 -. 1554E+04 -. 9706E+03 .2256E+05

LLoads 5 .6313E+04 -. 2058E+05 -. 3354E+04 .1554E+04 -. 78732E+04 .3145E+05Stress 4 .3285E+04 .2430E+05 .3961E+04 .6771E+03 -. 1467E+05 .6311E+03Stress 5 .3285E+04 .2430E+05 .3961E+04 .6771E+03 .2045E+05 -. 5093E+04

***BEAM NO. 13*$-LLoads 5 -. 6313E+0,4 .20158E+05 .3354E+04 -,1554E+04 .7832E+04 -*3 145E+05

LLoads 6 .6313E+04 -. 2058E+05 -. 3354E+04 .1554E+04 -. 1664E+05 .8546E+05Stress 5 .3285E+04 .2430E+05 .3961E+04 .6771E+03 .2045E+05 -. 5093E+C)4Stress 6 .3285E+04 .2430E+05 .3961E+04 .6771E+03 .5557E+05 -. 1082E+05

$**BEAM NO. 14**$

LLoads 6 -. 6313E+04 .2)58E+05 .3354E+04 -. 1554E+04 .1664E+05 -. 8546E+05LLoads 7 .6313E+04 -. 2058E+05 -. 3354E+04 .1554E+04 -.2544E+05 .1395E+06Stress 6 . 2030E+04 .1502E+05 .2448E+04 . 8002E+03 . 2900E+05 -. 8558E+04Stress 7 .2030E+04 .1502E+05 .2448E+04 .8002E+03 .4733E+05 -. 1309E+05

***BEAM NO. 15***

LLoads 7 -. 6313E+04 -. 2114E+05 -. 3765E+04 .2956E+04 .2544E+05 -. 1395E+06LLoads 8 .6313E+04 .2114E+05 .3765E+04 -. 2956E+04 -. 1555E+05 .8398E+05

Stress 7 .2030E+04 -. 1543E+05 -.2749E+04 -. 1523E+04 .4733E+05- 1309E+05Stress 6 .2o30E+04 -. 1543E+0)5 -. 2749E+04 -. 1523E+04 .2850E+05 -. 8002E+04

***BEAM NO. 16***

LLoads 8 -. 6313E+04 -. 2114E+05 -. 3765E+04 .2956E+04 .1555E+05 -. 8398E+05LLoads 9 .6313E+04 .2114E+05 .3765E+04 -. 2956E+04 -. 5669E+04 .2849E+05Stress 6 .3285E+)4 -. 2497E+05 -. 4448E+04 -. 1288E+04 .5461E+05 -. 1011E+05Stress 9 .3285E+04 -. 2497E+05 -. 4448E+04 -. 1288E+04 .1852E+05 -. 3686E+04

***BEAM NO. 17***LLoads 9 -. 6313E+04 -. 2114E+05 -. 3765E+04 .2956E+04 .5669E+04 -. 2849E+05

~ .~ 6 P

FMC CORPORATION S/N:6800484 03-09-87PAGE 3 l

=---------------- I M A G E S.3 D------------------Copyright (c) 1984 Celestial Software Inc.


LTHD Trail Diaphragm -- 3/3/87 re-designm


, LLoads Node Axial -Shear Z-Shear Torsion Y-Bending Z-Bending/Stress

LLoads 10 .6313E+04 .2114E+05 .3765E+04 -. 2956E+04 .4215E+04 -. 2701E+05Stress 9 .3285E+04 -. 2497E+05 -. 4448E+04 -. 1288E+04 .1852E+05 -. 3686E+04Stress 10 .3285E+04 -. 2497E+05 -. 4448E+04 -. 1288E+04 -. 1756E+05 .2741E+04

***BEAM NO. 18***

LLoads 10 -. 6313E+04 -. 2114E+05 -. 3765E+04 .2956E+04 -. 4215E+04 .2701E+05

LLoads 11 .6313E+04 .2114E+05 .3765E+04 -. 2956E+04 .1410E+05 -. 8251E+05Stress 10 .3285E+04 -. 2497E+05 -. 4448E+04 -. 1288E+04 -. 1756E+05 .2741E+04Stress 11 .3285E+04 -. 2497E+05 -. 4448E+04 -. 1288E+04 -. 5365E+05 .9168E+04

***BEAM NO. 19***

LLoads 17 -. 7772E+03 -. 2224E+03 -. 7634E+02 -. 1125E+03 .2178E+04 -. 1432E+03LLoads 18 .7772E+03 .2224E+03 .7634E+02 .1125E+03 -. 1377E+04 -. 2192E+04Stress 17 .4044E+03 -. 2627E+03 -. 9016E+02 .4901E+02 .9315E+02 -. 1416E+04Stress 18 .4044E+03 -. 2627E+03 -. 9016E+02 .4901E+02 -. 1425E+04 -. 8953E+03

***BEAM NO. 20***

LLoads 18 -. 7772E+03 -. 2224E+03 -. 7634E+02 -. 1125E+03 .1377E+04 .2192E+04LLoads 19 .7772E+03 .2224E+03 .7634E+02 .1125E+03 -. 5753E+03 -. 4527E+04Stress 18 .4044E+03 -. 2627E+03 -. 9016E+02 .4901E+02 -. 1425E+04 -. 8953E+03Stress 19 .4044E+03 -. 2627E+03 -. 9016E+02 .4901E+02 -. 2944E+04 -. 3741E+03

S***BEAM NO. 21***

, \ LLoads 17 .3778E+03 .7515E+03 .3492E+03 .3986E+03 -. 3390E+04 .9192E+04LLoads 14 -. 3778E+03 -. 7515E+03 -. 3492E+03 -. 3986E+03 -. 2579E+04 .3654E+04Stress 17 -. 1966E+03 .8876E+03 .4124E+03 -. 1737E+03 -. 5977E+04 .2204E+04Stress 14 -. 1966E+03 .8876E+03 .4124E+03 -. 1737E+03 .2376E+04 -. 1677E+04

***BEAM NO. 22***LLoads 14 .3778E+03 .7515E+03 .3492E+03 .3985E+03 .2579E+04 -. 3654E+04

-' LLoads 11 -. 3778E+03 -. 7515E+03 -. 3492E+03 -. 3985E+03 -. 8547E+04 .1650E+05Stress 14 -. 1966E+03 .8876E+03 .4124E+03 -. 1737E+03 .2376E+04 -. 1677E+(04Stress 11 -. 1966E+03 .8876E+03 .4124E+03 -. 1737E+03 .1073E+05 -. 5558E+04L**BEAM NO. 23***

-- LLoads 17 .4914E+03 .2510E+04 .8654E+02 .1325E-14 -. 3137E+03 .9097E+04-" LLoads 22 -. 4914E+03 -. 2510E+04 -. 8654E+02 -. 1325E-14 -. 4376E-11 -. 3819E-10

A. Stress 17 -. 2457E+03 .1481E+04 .5106E+02 -. 1590E-13 -. 6823E+04 .1881E+04. . Stress 22 -. 2457E+03 .1481E+04 .5106E+02 -. 1590E-13 -. 2864E-10 -. 2623E-10

***BEAM NO. 24***LLoads 17 -. 4914E+03 -. 8214E+02 .7073E+02 -. 1325E-14 -. 2564E+03 -. 2978E+07LLoads 23 .4914E+03 .8214E+02 -. 7073E+02 .1325E-14 -. 2304E-12 -. 2464E-10Stress 17 .2457E+03 -. 4846E+02 .4173E+02 .1590E-13 .2233E+03 .1537E+04Stress 23 .2457E+03 -. 4846E+02 .4173E+02 .1590E-13 -. 1848E-10 -. 1381E-11

***BEAM NO. 25***

LLoads 19 .2875E+03 .1771E+04 -. 6374E+02 .1141E-13 .2311E+03 .642C)E+04LLoads 24 -. 2875E+03 -. 1771E+04 .6374E+02 -. 1141E-13 -. 2634E-12 -. 1679E-10Stress 19 -. 1438E+03 .1045E+04 -. 3761E+02 -. 1369E-12 -. 4815E+04 -. 1385E+')4

,. %

FMC CORPORATION S/N:6800484 03-09-87 3PAGE 4----------------------- IMAGES 3 D---------






Stress 24 -. 1438E+03 .1045E+04 -. 3761E+02 -. 1369E-12 -. 1259E-10 -. 1579E-11***BEAM NO. 26***

LLoads 19 -. 2875E+03 .4047E+03 -. 3559E+02 -. 1141E-13 . 1290E+03 .1467E+04LLoads 25 .2875E+03 -. 4()47E+03 .3559E+02 .1141E-13 .166(E-11 -. 7746E-10Stress 19 1478E+03 .2388E+03 -. 2100E+02 .1369E-12 -. 11C)E+04 -. 7735E+03Stress 25 .1438E+03 .2388E+03 -. 2100E+02 .1369E-12 -. 5609E-10 .9952E-11

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===I M A G E S 3D -



V LTHD Trail Diaphragm -- 3/3/87 re-design



Maximum (absolute) Stress = .5557E+05 at BEAM 13


13 .3285E+04 .2430E+05 .3961E+04 .6771E+03 .5557E+05 -. 1082E+05

U,

U,

FMC CORPORATION S/N:800484 03-09-87 -'

PAGE II M A G E S 3 D





REACTIONS


I' 1 -. 7467E+04 .1869E+05 .2643E+04 .O000E+00 -. 8793E+04 .2339E+052 .7479E+04 .1843E+05 .2918E+04 .OO0OE+00 .7599E+04 -. 1765E+05

22 .8654E+02 .2510E 04 .4914E+03 .O000E+00 .0000E+00 .0000E+0023 -. 7073E+02 -. 86214E+02 .4914E+03 .0O00E+00 .0000E+00 .0000E+0024 -. 6374E+02 .1771E+04 .2875E+03 .0000E+C)0 .000E+00 .0000E+0025 .3559E+02 .4047E+03 .2875E+03 .0000E+00 .0000E+00 .O000E+00

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PART NUMBERS: 12585792-12565797. Walking Beam Assemblies

DESCRIPTION: WALf.ING BEAM ASSEMBLY

IThe left and riaht hand walking beam assemblies each consist of amachined leading and lagging beam Ti6AI4V weldment. The walkingbeam dimensions were the result of four important considerations:maintaining clearance between the spade and the C10C ramp duringloading and unloading from a C130: providing a lunette weightduring emplacement and displacement light enough for two men tolift- maintaining a downward force in front of the walking beampivot at all times (i.e, keeping the lunette on the ground)during emplacement and displacement to prevent une.:pected"teetering;" and providing acceptable functional walking beamperformance over large obstacles.

A complete report which summarizes the results of the supportingstress analysis can be found in the following pages of thissection.

STATUS:

All design and drawing requirements have been finalized and canbe found in TDP, Dwgs. 12585792-12565797.

AUTHORS: Jim Ries, Dave Boudreau

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LTTUTOTAL WEIGHT - 8463C.G. X COORD (IN) - -.948718E-01C.G. Y COORD (IN) - 4.86224C.G. Z COORD (IN) - 95.7703JYZ (FT-LB-S2) -26434.5JXY (FT-LB-S^2) -490.222

JXZ (FT-LB-S^2) - 26517.3

DESCRIPTION WEIGHT X Y Z3200 BARREL 2650 0 0 101.93225 TWD 15 0 0 8.23300 BREECH 495 -. 5 0 8.23340 MB NUT 3 0 0 2433362 BAND 90 0 0 14.53364 BRCH ACT 12 0 10.5 14.53368 BRCH V 4 12 0 14.53380 Y&W 310 0 0 134.73400 AUTOPR 30 -. 6 -. 8 0

Ie 3450 M BRAKE 158 0 -1.8 261.7" 6755R CMPACT 100 0 12.5 79

3720 CRADLE 430 -.33 .96 127.1* . 4275 SPSHASSY 50 0 -15.5 139

4284 BAND 15 0 -10 144286 FRTMNFDK 12 0 0 2414288 MMNFLDK 13 0 0 1275225 CABLE 19 0 25.4 61.45250 C PLLEYS 16 0 25.4 61.45302 CP PINS 4 0 33.5 6.95304 SPELCYL 8 0 33.8 2.83090 PAINT 20 0 0 965830 HBSYSTRL 8 0 16 2466330 HBSYSTRL 8 0 16 2466580 CAN1MNFD 32 20 0 24

. 6590J PIPCR 27 15.5 13 1206590K HO SET 6 15.5 13 06670 BRKAIRL 5 0 16 2466755NR COMP 535 0 12.5 1846950 EQUNIT 342 0 8.5 1777150 ELEV CYL 64 0 16.7 5.47260 EQ ACC 85 -5 10.75 1847270 ERA 186 0 0 1847272 NITROGEN 30 0 0 1847290 F ACC 90 0 22.75 1847292 NITROGEN 5 0 22.75 1847300 HYDFL 200 0 12.5 184

K 4200 TR BRG 30 0 0 04320 FLTUBE 44 0 0 -22

S., 4322 S FRAMES 20 0 10 474410 PLTFM W 450 0 12.4 -234420 UTRAVSH 7 0 40.5 -16.54525 SPADE 201 0 -20 -204700 LTRAVSH 12 0 -9 -16.54950 LIFT EYE 14 0 47 -23.55000 GIMBAL 331 0 16 -16.55610 LH TRAIL 300 41.75 7.7 113.4S 5620 OPEN 0 0 0 05840 LH CLAW 55 41.75 -18 250.95960 LH TR P 8 41.75 5 239.16110 RH TRAIL 300 -41.75 7.7 113.46120 OPEN 0 0 0 06340 RH CLAW 55 -41.75 -18 250.9

6360 RH TR P 8 -41.75 5 239.16560 G CNTRL 32 17 28 -356570 AG CNTRL 32 -17 28 -356600 TRAV CYL 65 -18 -4.5 -156660 TAIL LI 5 0 36 -267950 AG FC 44 0 24 458150 G FC 100 0 24 454280 BII BC 33 0 24 458350 BIIS 240 0 24 45

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PART NUMBERS: 12585741, Wheel Hubs

12585747, Wheel A:Aes125857Z9, Wheels12585738, Tires

DESCRIPTION: WHEEL HUBS, AXLES, WHEELS, TIRES

Hubs and Ax:les-

For the wheel hubs, a Finite Element Analysis was performed to

evaluate stresses under air transport and towing ("bump ands;ip") loads with 6061-T6 Aluminum alloy used for the material.

old Results indicate a minimum factor of safety of 3.13 under worst-case conditions. For a complete report of the wheel hub stressanalysis, including a description of the approach used, FEAmodels, and results, see the following pages of this section.

The a-:le analysis was performed in conjunction with the walking

beam analysis above and these results can also be found inthe following pages of this section.

Wheels and Tires -

The 25.0 lb. wheels are made by American Racing Equipment and areheat treated cast aluminum. All four wheels are identical. Allfour tires are Goodyear Tracker LT-2 8.75-16.5LT tires and weigh36.0 lb. each.

STATUS:

All specifications for the wheel hubs (TDP, Dwg. 12585741) andaxles (TDP, Dwg. 12585747) have been determined and are supportedby a complete stress analysis.

Complete specifications for the wheels and tires have beenfinalized and can be found in the TDP, Dwgs. 12585739 and12585738 respectively.

AUTHORS: Joe Fishbein, Jim Ries, Dave Boudreau

..

.

(

U.,NiS

LTHD Prolect

Wheal Hub Stress Analysis Reoort

by Joe Fishbein27 Feb 1986

S I. Introduction

The purpose of this analysis is to determine the suitability of6061-T6 Aluminum alloy (ay - 35,000 PSI) for the LTHD wheel hub. Thehub is a machined hollow tube with flanges for the wheel and brakedisk. Roller bearings mounted on the ends of the hub attach thewheel/hub assembly to the axle, which passes through the center of thehub.

Wheel loadings were taken from the analysis of the Walking Beam

assembly. These loads are caused by transport of the LTHD under twoconditionst

1) Bump and Skid during transport. This condition generates

horizontal and vertical loads in the plane of the wheel, as wellas an eccentric load normal to the wheel.

2) Air Drop. This condition generates a vertical load in thewheel plane from the 4.5G impact.

Finite Element Analysis was performed to evaluate stresses under these

loadings. A minimum factor of safety of 2.0 against yielding was usedas a failure criteria.

II. Finite Element Models

For this analysis, two models were analyzed on the IMAGES-3D program.These models are described below:

S1) Simple Beam model. This model, shown in Figure 1, was used toevaluate general stresses in the hub. It consists of a series of

-i hollow circular beam elements. Section properties were determinedfrom the inside and outside diameters of the hub at each element

location. Beam ends are restrained at the bearing centerlines,and loads are applied to the front edge of the wheel flange.

2) Plate Model. This model, shown in Figure 2, was used to obtainmore localized stresses in the hub. A series of membrane/bendingplate elements are located on the center of the cross-section,with plate thicknesses determined by the actual hub wall

thickness at each element location. An additional plate at the

3.m

wheel flange bolt circle is added to offset the loads to thefront flange surface. These plates are rotated around the hubaxis to generate a 1/2-shell model. The end bearings are modeledby "rigid" springs to the hub axis, with axial displacement fixedat the brake end bearing. Loads are applied to discrete points at450 intervals around the flange, simulating the eight wheel

bolts.

By using a half model, sufficient detail can be incorporated intothe mr1el without exceeding the limits of the IMAGES program. Forthe bump and skid loading condition, the resultant of thehorizontal and vertical in-plane loads was applied vertically.While this is not the exact loading, it is conservative in thatthe maximum stresses from the in-plane and perpendicular loads

occur at the same point, rather than being circumferentiallyoffset. This also permits a single run with symmetric boundaryconditions, rather than two runs with symmetric/anti-symmetricboundaries and an algebraic combination.

III. Analysis Results

The highest stresses occur under bump and skid loading, mainly from* the eccentric moment. However, stresses in general are low. For the

.- simple beam model, the maximum stress, a combination of axialcompression and bending, is -4,963 PSI. This occurs in the barrel ofthe hub just behind the wheel flange. The plate model revealed some(Q additional local bending in this region, with a maximum stress of-11,190 PSI. The Factor of Safety for this stress is 3.13. The actualstress in this area will be lower, due to a generous fillet between

* the flange and barrel which was not included in the model, and theloading assumption mentioned above.

Maximum deflection is .0078 in. at the top edge of the wheel flange,and -. 0060 in. at the bottom edge. This results in an angulardisplacement of the wheel of 0.098*.

Stresses in the second load case (4.5G air drop) are significantlylower. Maximum stress in the beam model is 3,223 PSI, occurring in the

barrel ahead of the wheel flange. The corresponding stress in theplate model is 3,879 PSI.

Details of the models and stress results are attached to this report.

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------------------------------= = I M A -E S -3---D ---------------------== == = = ==I-25-1987 Nun ID=E06212 13:51:0C)1

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FMC CORPORATION S/N:800484

--------------------------------------------------------------- I

J ob I n f or mat i on--------------------------------------------------------------- I

I I

Project LTHD

ClientI I

Job Name :I I

* Remarks : Trail Wheel HubSimple Beam Model

I I

* Engineer : /* J. Fishbein

Chk'd by : / -* !

Appr'd by : -

Comments I -I I

I I

I II----------------------------

I= = A G E S 3U D ----

=i i i =IMA6E i m .

= = = === == = = = = I

-I M AG E S 3 DI =Copyright (c) 1984 Celestia& Software Inc.=

MR ------------------------- =======------- =

Interactive Microcomputer Analysis & Graphics of Engineering Systems

IMAGES-3D Version 1.3 03/01/6

RUN ID=EB06212

NOTICE=------------------------------------

=Celestial Software Inc. assumes no responsi-==bility for the validity, accuracy, or=applicability of the results obtained from=IMAGES-3D.

=Any questions or comments concerning the use=of IMAGES-3D or the users manual should be =

=addressed to:

= Celestial Software Inc.125 University Ave.

Berkeley ,CA

415-841-7175

L oam -------------------------------- mml M 2 !9M I= I I I fg =


--------------- I M A G E S 3 D= Copyright (c) 1984 Celestial Software Inc.=

CHEC: GEOMETRY Version 1.3 03/01/86

LTHD Wheel Hub -- Simple Beam Model

MATERIAL PROPERTIES

Material Modulus of Weight Coeff of Poisson's Shear WebNo Elasticity Density Thermal Exp. Ratio Modulus

I 1. 00000E+07 1. 00000E-01 0. 00000E+00 3. 00E-01 0. 000(')0E+00

NODE COORDINATES

Node X-Coord. Y-Coord. Z-Coord.

1 6. 72300E-01 0. 00000E+00 0. 00000E+002 1. 12000E+00 O. O000)E+00 0. 00000E+003 1 . 74500E+00 0. 0000E+00 0. 00000E+004 2. 12000E+00 0. O0000E+00 0. O0000E+005 2.81000E+00 0. O0000E+O0 . 00000E+006 3. 50000E+00 O. O0000E+O0 0. OOOOOE+007 4. 00000E+00 0. 00000E+00 O. OOOOOE+00

8 4. 5000C0E+00 0. 00000E+00 0. O0000E+009 5. 25000E+00 0. 00000E+00 0. 00000E+00

1C0 5.90630E+00 0. 00000E+00 0. 00000E+0011 6. 56250E+00 0. 00000E+00 O. O0000E+0012 7.21880E+00 0. 00000E+00 0. 00000E+0017, 7. 87500E+00 0.0O000()E+00 O.0O0000E+014 B. 25000E+00 0. 00000E+00 O. O0000E+O015 83. 87500E+00 0. 0)0000E+00 0. O0000E+0

. 16 9. 125C.OE+O0 0. 00000E+00 0. 00000E+0017 9.3 7500E+00 0. O0000E+00 0. 00000E+00

BEAM PROPERTIES

Multiplier -1 (For AISC database properties only)

Prop X-Section Moment of Inertia TorsionalNo Area Iy / Iz Const.- J

I 8.347E+00 1.862E+01 1.862E+01 3.723E+012 1.112E+01 2.234E+01 2.234E+01 4.469E+01

.'

FMC CORPORATION S/N: 800'484 02-25-1987PAGE 2

=-------- I M A G E S 3 D= Copyright (c) 1984 Celestial Software Inc.

CHECK GEOMETRY Version 1.3 03/01/86


Prop X-Section Moment of Inertia Torsional

No Area ly / Iz Const.- J

3 8.565E+00 1.895E+01 1.895E+01 3.791E+014 7. 126E+00 1.745E+01 1.745E+01 3.490E+015 3.844E+01 1.899E+02 1.899E+02 3.799E+026 1.307E+01 3.819E+01 3.819E+01 7.639E+017 6. 880E+00) 1.671E+01 1.671E+01 3. 343E+0 18 9. 083E+0(-) 2. (-)47E+(:)1 2. 047E+01 4. 095E+019 1.164E+01 2.386E+01 2.386E+01 4.773E+01

10 1.506E+01 4. 161E+01 4. 161E+01 G.323E+0111 2.595E+01 9.420E+01 9.420E+01 1.684E+02

Prop Max. Fiber Dist Shear Shape FactNo Cy / Cz SSFy / SSFz Ctors

1 2.41E+'O 2. 41 E+('O 1. 89E+00 1. 839E+C0 1. 0CE+O02 2. 41E+00 2. 41E+00 1. 89E+00 1. 89E+00 1. 00E+003 2.41E+00 2. 41E+00 1. 89E+00 1. 89E+00 1. 00E+00

4 2.46E+00 2.46E+00 1.89E+00 1.89E+00 1.OOE+O05 4. O0E+00 4. C'0E+O0 1.89E+00 1.89E+00 1. OOE+006 2.82E+:)' 2.82E+00 1.89E+00 1.89E+00 1.00E+00

. 7 2. 44E+00 2.44E+00 1. 89E+00 1 .89E+00 1. OOE+008 2.44E+00 2.44E+00 1.89E+00 1.89E+00 1.00E+009 2.44E+00 2.44E+00 1.89E+00 1.89E+00 1.00E+00

10 2. 2E+00 2. 82E+00 1.89E+00 1. 89E+00 1.OOE+('0O11 3.38E+00 3. 38E+00 1.(89E+00 1.89E+00 1. 00E+00

BEAM CONNECTIVITY

Beam Nodes Prop Mat Pincodes Y Dir Cosines BeamNo From/ To/Ref No No I / j Length X Y Z Type

1 1 2 0 1 1 4.477E-01 0. 00 1. 00 0. 00 Beam2 2 3 0 2 1 6. 250E-01 0. 00 1.00 0. 06 Beam3 3 4 0 3 1 3. 750E-01 0. 00 1.00 0. 00 Beam4 4 5 0 4 1 6.900E-01 0.00 1.00 0.00 Beam

5 5 6 0 4 1 6.900E-01 0.00 1.00 0.00 Beam6 6 7 0 5 1 5.000E-01 0.00 1.00 0. C0 Beam7 7 8 0 5 1 5.000E-01 0.00 1.00 0.00 Beam8 6 9 0 6 1 7.500E-01 0.00 1.00 0.00 Beam9 9 10 C 7 1 6.563E-01 0. 00 1.00 0. 00 Beam

/5.

FMC CORPORATION S/N:8Q0)484 02-25-1987PAGE 3

IM AG E S 3 DCopyright (c) 1964 Celestial Software Inc.

CHECK'. GEOMETRY Version 1.3 03/01/66

LTHD Wheel HUb -- Simple Beam Model

Beam Nodes Prop Mat Pincodes Y Dir Cosines BeamNo From! To/Ref No No I / 3 Length x Y Z Type

------------------ ------------ ---- --- ------------- --------- ----- ----- ----- -----0o 10 11 7 1 6. 562E-01 0. 00 1. 00 0. 00 Beam

11 11 12 0) 7 1 6.563E-01 0).00 1. 00 0 1.00 Beam12- 12 13 11 7 1 6.562E-01 0. 00 1. 00 0. 00 Beam137 1 3- 14 0, 8 1 3. 75oE-01 0. 00 1. 00 C0. 00 Beam14 14 15 0 9 1 6.250E-01 0. 00 1. 00 0. 00 Beam15 15 16 0) IC 1 2. 500E-01 0.00 1. 00. 0. 00 Beam16 16 17 0) 11 1 2.500E-01 0.00 1.00 0.00 Beam

RESTRAINTS

Node Restraint6No Directions

1 -YZ - - -

17 X Y Z RX-

NI

% '

FMC CORPORATION S/N: 800484 02-25-1987PAGE 1U.. . I M A 6 E S 3 D . ...


RENUMBER NODES Version 1.3 03/01/86


Node Renumbering Cross Reference List


1 1 2 2 3 34 4 5 5 6 6

7 7 8 8 9 910 10 11 11 12 1213 13 14 14 15 1516 16 17 17


Li

S MC CORPORATION S/N:800484PAGE

--------------------------I M A GES3D... =




STIFFNESS ASSEMBLY SUMMARY

Number of Node Points .................... 17Number of Truss and Beam Elements..... 16Number of Plate Elements ................. 0Number of Spring Elements ................ 0Number of Nodes with Restraints ....... 2Number of Blocks in the Matri ......... 1

BLOCK NUMBER 1

FORM MatrixPACK MatrixSize = 5776 BytesTRIANGULARIZE Matrix

Number of terms in the matrix. 722Largest column ....................... 11Minimum Diagonal Stiffness .4189616D+08Maximum Diagonal Stiffness = .7617020D+10

-J.

FMC CORPORATION S/N:800484PAGE 2

..== -.. ==== I M A 6 E S 3 D === ... =n=Copyright (c) 1984 Celestial Software Inc.



CROSS REFERENCE LIST


Is TRANSLATION / ROTATIONNode Eqn. Eqn. Eqn. / Eqn. Eqn. Eqn.------------------------ ---- /---- ---- ---- ---- ----

1 1 2 3 4

2 5 6 7 8 9 103 11 12 13 14 15 16

S4 17 is 19 20 21 22

5 23 24 25 26 27 286 29 30 31 32 33 347 35 36 37 38 39 408 41 42 43 44 45 469 47 48 49 50 51 52

10 53 54 55 56 57 5811 59 60 61 62 63 64

12 65 66 67 68 69 7013 71 72 73 74 75 7614 77 78 79 80 81 8215 83 84 e5 86 87 86

16 89 90 91 92 93 9417 95 96

A

MC CORPORATION S/N:6O--C'484 02-25-87

I MA ES DPAGE I

Copy;r ight (c)7 1964 Celestial Software Inc.



LO0A D C AS E I

Bump and Skid

CONCENTRATED LOADS


6 . 36(:0CE+c)4 . 3527E+04 . 454OE.C'4 0000OE+00 .C0Co0E,00 . 5292E+05

FMC CORPORATION S/N:800484 02-25-87

PAGE 2===== ... = .I M A G E S 3 DCopyright (c) 1984 Celestial Software Inc.



LOAD CASE 1Bump and SlidB a S APFLIED LOAD VECTOR

Node Fx Fy Fz Mx My MzI6 .3600E+04 .3527E+04 .4500E+04 .OOOOE+O0 .O000E+00 .5292E+05

iII

I

ago

FMC CORPORATION SiN: 800484 02-25-7PAGE 3

U Copyright (c) 1984 Celestial Software Inc. -



LOAD CASE 1Bump and Sk:id

DISPLACEMENTS

Tr an s l a t i on, / Rot a t i on s

Node X Y Z / X Y Z--------------- ---------- ---------- --/-------- ---------- ---------- ----------

1 .2110E-03 .000E+00 .O000E+O0 / .OOOOE+00 -. 7354E-04 .4088E-032 .2110E-03 .8581E-04 .1127E-03 / .OOOOE+0 -. 7190E-04 .4108E-033 .2110E-03 .2425E-03 .2399E-03 / .0O00E00 -. 6544E-04 .4187E-034 .2110E-03 .3215E-03 .3284E-03 / .OOOOE+00 -. 5787E-04 .4279E-035 .2110E-03 .4492E-03 .5059E-03 / .0000E+00 -. 3634E-04 .4541E-036 .2110E-03 .5985E-03 .6657E-03 / .O000E+O0 -. 6516E-05 .4904E-037 .2063E-03 .7948E-03 .6591E-03 / .OOOOE+00 -. 4351E-05 .4797E-038 .2017E-03 .9860E-03 .6514E-03 / .OOOOE+00 -. 2378E-05 .4700E-039 .1810E-03 .111OE-02 .6070E-03 / .O000E+00 .1054E-04 .4061E-0310 .1467E-03 .1001E-02 .5242E-03 / .OOOOE+00 .3234E-04 .2984E-0311 .1123E-03 .8283E-03 .4283E-03 / .OOOOE+00 .5037E-04 .2093E-0312 .7798E-04 .6027E-03 .3218E-03 / .OOOOE+00 .6463E-04 .13B8E-0313 .4365E-04 .3370E-03 .2072E-03 / .0000E+00 .7513E-04 .8688E-0414 .2878E-04 .2195E-03 .1487E-03 / .OOOOE+00 .7864E-04 .6951E-0415 .9447E-05 *6680E-04 .5987E-04 / .OOOOE+00 .8176E-04 .5413E-0416 .3469E-05 .2113E-04 .2745E-04 / .OOOOE+00 .8208E-04 .5250E-0417 . O000E+00 . OOOOE 00 . OOOOE+O0 / . OOOOE+00 .8213E-04 .5226E-04

6

FMC CORPORATION S/N:614B14 02-25-87

mumumminummmPAGE 4

CZpyrightM 71) 1984 Celestial Software Inc.-

Iu Ob u--m m m u u u m mm u u m um m


LTHD Wheel Hub -- Simple beam Model

4.56 Air Drop L0AD CASE 2

Seft

CONCENTRATED LOADS

Node Fx Fy Fz my My Mz

6 . 0(X))OE+OC) . 1200E+05 .0000OE+00 .0000)E+00) .00c(x,0Eo0 ) .0004b1EE(c)0

6q

19

FMC COR FORATION S/N: :00484 02-25-87iPAGE 5= .... ..... 1 M A G E S 3 D =.... ==

- Copyright (c) 1984 Celestial Software Inc -



L LOAD CASE 24.5G Air Drop

APPLIED LOAD VECTOR


6 .1O)'E4r)O * 120()E+0' 5 . 0'O0E+00 .00C'OE+00 .O'00E+00 .O00E+O6

I

i

FMC CORPORATION S/N: 800484 02-25-87I ........... I A E 3 ........... PAGE 6

= Copyright (c) 19B4 Celestial Software Inc. -

- =w ======== -- ---



LOAD CASE 2

4.5G Air Drop

DI SPLACEMENTS

T r an s 1 a t i ons / Rot at i on sNode X Y Z / X Y Z---------------- ---------- ---------- ---------- ---------- ---------- ----------

1 . 00'0OE+00 . O000E+00 . O000E00 / * OOOOE+00 * OOOOE+00 . 1961E-032 .O000E+00 .3006E-03 .0000E+00 / OOOOE+00 OOOOE+00 .1917E-03

3 .0000E+00 .6396E-03 . OOOOE+O0 / . OOOOE+00 . OOOOE+O0 .1745E-034 .0000E+00 .8757E-03 . OOOOE+00 / .OOOOE+00 . OOOOE+00 .1543E-035 . O000E+00 . 1349E-02 .0000E+00 / . OOOOE+00 * OOOOE+O0 .9688E-046 .O000E+00 . 1775E-02 .OOOOE+00 / .OOOOE+00 .OOOOE+00 . 1737E-047 . O000E 00 . 1757E-02 . O000E+0/ .0000E+00 . O000E+00 . 1160E-048 . O000E+00 .1737E-02 . OOOOE+O0 / OOOOE+00 * OOOOE+O0 .6340E-059 .0000E+00 .161BE-02 . OOOOE+0 / . O000E+00 . O000E+00 -. 2811E-04

10 .OOOOE+00 .1:.98E-02 .O000E+00 / *OOOOE+00 .OOOOE+00 -. 8623E-0411 .0000E+00 .1142E-02 .OOOOE+O0 / .0000E+O0 .O000E+00 -. 1343E-0312 .000E+00 .8581E-03 .OOOE+00 / .OOOOE+00 .OOOOE+00 -. 1723E-03

b13 .0OOE+00 .5526E-03 . OOOOE+00 / . 0COE+00 . OOOE+00 -. 2003E-0314 .000oE+00 .3965E-03 . OOOE+00 / .O000E+00 .OOOOE+00 -. 2097E-0315 . 000(:)E+00 .1596E-03 .OOOOE+00 / .OOOOE+O0 . 000E+00 -. 2180E-0316 . 0000E+00 .7320E-04 . O000E+00 / . 000E+00 . 0000E+00 -. 2189E-0317 . O000E+O0 . O000E+00 . OOOOE+00 / . OOOOE+00 . ,000E+00 -. 2190E-03

ip I

MC CORPORATION S/N:800484 02-25-87PAGE 1..... = ..... ====I M A G E S 3 D ... .. ==

= Copyright (c) 1984 Celestial Software Inc. =



Load Case 1: Bump and Skid



***BEAM NO. 1***LLoads 1 .1414E-11 .3700E+04 -. 3038E+04 .OOOC)E+00 -. 7052E-11 -. 1266E-08LLoads 2 -. 1414E-11 -. 3700E+04 .3038E+04 .0000E+00 .1360E+04 .1656E+04Stress I -. 1694E-12 .8377E+03 -. 6876E+03 .OOOOE+00 .1636E-09 .9115E-12Stress 2 -. 1694E-12 .8377E+03 -. 6878E+03 .OOOOE+00 .2141E+03 .1758E+03

***BEAM NO. 2***LLoads 2 .2707E-11 .3700E+04 -. 3038E+04 .O000E+00 -. 1360E+04 -. 1656E+04LLoads 3 -.2707E-11 -. 3700E+04 .3038E+04 .000E+00 .3259E+04 .3969E+04Stress 2 -. 2435E-12 .6289E+03 -. 5164E+03 .000E+00 .1784E+03 .1465E+03Stress 3 -. 2435E-12 .6289E+03 -. 5164E+03 .O000E+00 .4274E+03 .3509E 03

***BEAM NO. 3***LLoads 3 -.540CE-12 .3700E+04 -. 3C)38E+04 000E+00 -. 3259E+04 -. 3969E+04LLoads 4 .5400E-12 -. 3700E+04 .3038E+04 .OOOOE+00 .4398E+04 .5356E+04Stress 3 .6305E-13 .8164E 03 -. 6703E+03 .OC)OE+00 .5038E+03 .4137E+03Stress 4 .6305E-13 .8164E 03 -. 6703E+03 .000E+00 .6799E+03 .5583E+03

***BEAM NO. 4***LLoads 4 -. 8669E-12 .3700E+04 -. 3038E+04 .O00E+O0 -. 4398E+04 -. 5356E+04

LLoads 5 .8669E-12 -. 3700E+04 .3038E+04 .O000E+00 .6494E+04 .7909E+04Stress 4 .1216E-12 .9812E+03 -. 8057E+03 .OOOOE+00 .7538E+03 .6189E+03Stress 5 .1216E-12 .9812E+03 -. 8057E+03 .OOOOE+00 .1113E+04 .9139E+03

***BEAM NO. 5***LLoads 5 -. 8669E-12 .3700E+04 -. 3038E+04 .OOOOE+00 -. 6494E+04 -. 7909E+04LLoads 6 .8669E-12 -. 3700E+04 .3038E+04 .OOOOE+O0 .8590E+04 .1046E+05Stress 5 .1216E-12 .9812E+03 -. 8057E+03 .0000E+00 .1113E+04 .9139E+03Stress 6 .1216E-12 .9812E+03 -. 8057E+03 .OOOE+00 .1472E+04 .1209E+04

***BEAM NO. 6***LLoads 6 .360,OE+04 .7227E+04 .1462E+04 .OOOOE+00 -. 8590E+04 .4246E+05LLoads 7 -. 3600E+04 -. 7227E+04 -. 1462E+04 .0000E+00 .7859E+04 -. 3885E+05Stress 6 -. 9365E 02 .3553E+03 .7189E+02 .0000E+00 -. 8942E+03 .1809E+03Stress 7 -.9365E+02 .3553E 03 .7189E+02 .000E+00 -.8181E+03 .1655E+03

***BEAM NO. 7***LLoads 7 .3600E+04 .7227E*04 .1462E+04 .OOOOE 00 -. 7859E+04 .3885E+05LLoads 8 -. 3600E+04 -. 7227E+04 -. 1462E+04 .OOOOE+00 .7128E+04 -.3523E+05Stress 7 -. 9365E+02 .3553E+03 .7189E+02 .000CE 00 -. 8181E+03 .1655E+07Stress 8 -. 9365E+02 .3553E+03 .7189E+02 .OOOOE+00 -. 7420E+03 .1501E+03

***BEAM NO. 8***LLoads e .3600E+04 .7227E+04 .1462E+04 .0000E+00 -. 7128E+04 .352"E+05LLoads 9 -. 3600E+04 -. 7227E+04 -. 1462E+04 .0000E+00 .6031E+04 -. 2981E+05

& Stress e -.2754E+03 .1045E+04 .2114E+03 .000COE+00 -. 2597E+04 .5254E+03Stress 9 -. 2754E 03 .1045E+04 .2114E+03 .O000EOC) -. 2197E+04 .4445E+0'


=== == == == == I M A 6 E S 3 D .... = == = = =




Load Case 1: BLImp and Skid


***BEAM NO. 9***LLoads 9 .3600E+04 .7227E+04 . 1462E+04 . 0000E+00 -. 6031E+04 .2981E+05LLoads 10 -. 3600E+04 -. 7227E+04 -. 1462E+04 .0000E+00 .5072E+04 -. 2507E+05Stress 9 -. 5232E+03 . 1985E+04 .4017E+03 .0000E+00 -. 4352E+04 .8805E+03Stress 10 -. 5232E+03 . 1985E+04 .4017E+03 .0000E+00 -. 3660E+04 .7404E+03

***BEAM NO. 10**LLoads 10 .3600E+04 .7227E+04 . 1462E+04 .0000E+00 -. 5072E+04 .2507E+05LLoads 11 -. 3600E+04 -. 7227E+04 -. 1462E+04 .O000E+00 .4112E+04 -. 2033E+05Stress 10 -. 5232E+03 .1985E+04 .4017E+03 .0000E+00 -. 3660E+04 .7404E+03Stress 11 -. 52372E+03 .1985E+04 .4017E+03 .O000E+00 -. 2967E+04 .6003E+03

***BEAM NO. 11***LLoads 11 .360(E+04 .7227E+04 . 1462E+04 . 0000E+00 -. 4112E+04 .2033E+05-Loads 12 -. 3600E+04 -. 7227E+04 -. 1462E+04 .OOOOE+00 .3153E+04 -. 1558E+05Stress 11 -. 5232E+03 . 1985E+04 .4017E+03 . 000()E+00 -. 2967E+04 .600:3E+03Stress 12 -. 5232E+03 .1985E+04 .4017E+03 .000E+00 -. 2275E+04 .4603E+03

***BEAM NO. 12-**LLoads 12 .3600E+04 .7227E+04 .1462E+04 .O000E+00 -. 3153E+04 . 1558E+05LLoads 13 -. 3600E+04 -. 7227E+04 -. 1462E+04 .O000E+O0 .2193E+04 -. 1084E+05Stress 12 -. 5232E+03 .1985E+04 .4017E+03 .0000E+00 -. 2275E+04 .4603E+03Stress 13 -. 5232E+03 .1985E+04 .4017E+03 .0000E+00 -. 1583E+04 .3202E+03

LLoads 13 .3600E+04 .7227E+04 .1462E+04 .OOOOE+00 -. 2193E+04 .1084E+05LLoads 14 -. 3600E+04 -. 7227E+04 -. 1462E+04 .O000E+00 . 1645E+04 -. 8130E+04Stress 13 -. 3964E+03 .1504E+04 .3043E+0)3 .O00E+0 -. 1292E+C04 .2614E+03

Stress 14 -. 3964E+03 . 1504E+04 .3043E+03 .0000E+00 -. 9690E+03 . 1960E+07***BEAM NO. 14***

LLoads 14 .3600E+04 .7227E+04 . 1462E+04 . O000E+00 -. 1645E+04 .8130E+04LLoads 15 -. 3600E+04 -. 7227E+04 -. 1462E+04 .0000E+00 .7311E+03 -. 3614E+04Stress 14 -. 3094E+03 .1174E+04 .2375E+03 .0000E+4)0 -. 8313E+03 .1682E+03Stress 15 -. 3094E+03 .1174E+04 .2375E+03 .O000E+00 -. 3695E+03 .7475E 02

***BEAM NO. 15**LLoads 15 .3600E 04 .7227E+04 .1462E+04 .0000E+00 -. 7311E+03 .3614E+04LLoads 16 -. 3600E+04 -. 7227E+04 -. 1462E+04 .O000E+00 .3655E+03 -. 1807E+04Stress 15 -. 2391E+03 .9072E+03 .1835E+03 . 000E+00 -. 2444E+03 .4945E+02Stress 16 -. 2391E+03 .9072E+03 .1835E+03 .0000E+00 -. 1222E+03 .2473E+02

***BEAM NO. 16**LLoads 16 .3600E+04 .7227E+04 .1462E+04 .O000E+00 -. 3655E+03 . 1807E+04I.Loads 17 -. 3600E+04 -. 7227E+04 -. 1462E+04 . O000E+00 .7134E-09 .2579E-08

Stress 16 -. 1388E+03 .5264E+03 . 1065E+03 .0000E+00 -. 6473E+02 . 1310E+02Stress 17 -. 1388E+03 .5264E+03 .1065E+03 .0000E+00 .9242E-10 .2556E-10

.R g

FMC CORPORATION S/N:800484 02-25-87PAGE 3--------- IM A 6 E S 3 D == =

=Copyright (c) 1964 Celestial Software Inc.-



Load Case 1: Bump and Sk.-id


Maximum (absolute) Stress = .4352E+04 at BEAM 9

Beam Axial V-Shear Z-Shear Torsion V-Bending Z-Bending

9 -. 5232E+03 .1985E+04 . 4017E+03 .0000OE+00 -. 4--52E+04 .6805E+0':

M1C CORPORAT ION S/N:8"i'.464 02-25-87I PAGEI IMA ES 3 D =

=Copyrig~ht (c) 19B4 Celestial Software Inc.

SOLVE REACTIONS Version 1.3. 03/01/86


Load Case 1: Bump and Skid

REACT IONS

Node Fx Fy Fz M., My M

I .00C00E+00' .--170()E+04 -. 3038E+04 .00OOOOE+0C: .0000E+00 . c)C)COOE+Cb(-.)17 -. 3600E+04 -. 7227E+04 -. 1462E+04 . 0000)E+00 . 0000E+00 C-.)CE+CC

>2

-MC CORPORAT ION S/N:800484 02-25-87PAGE 1

I M A G E S 3 D-----=====-====== Copyright (c) 1984 Celestial Software Inc.



Load Case 2: 4.5G Air Drop



***BEAM NO. 1***LLoads 1 . C)(:)OE+C.C) -. 610C)E+C)4 . 0(:)()E+OC0 . O000E+C) . O000E+0)0 -. 1960E-08LLoads 2 . CC)O-E+O0 .8100E+04 . OOCOE+O0 .0000E+0'0 .O ) C)CE+C)C) -. 3626E+04Stress 1 . OOz)(OE+(0 -. 1834E+04 . 0000E+00 .00)0E+00 .2533E-09 . 0000)OOE+C)0Stress 2 . OO0')E+O0 -. 1834E+04 . 000E+00 .0000E+O) -. 4687E+03 . OOoOE+00

***BEAM NO. 2***

LLoads 2 . 0')OO' E+C) -. 81 0:)E+04 . 0o00E+O0 .0000E+00 . OOOE+00 . 3626E+04LLoads 3 . CCOOE+C0 • 810'E+04 . 0000E+C0 . OC)O('E+O('0 . 000E+00 -. 8689E+04

Stress 2 .OC)CE+(:') -. 1377E+04 . 000E+00 . O000E+00 -. 3905E+03 . O000E+00Stress 3 . 0000E+00 -. 1377E+04 . O000E+00 . 000E+00 -. 9356E+03 .O.000E+00

***BEAM NO. 3***LLoads 3 . 000E+O0 -. 8100E+04 . 000E+0 .0 0C)O0E+00 . 0000E+O0 .8689E+04LLoads 4 .0OO:0E+00 .8 100E+04 . 00(-)OE+00 . 0000E+00 0 O000E+00 -. 1173E+)5Stress 3 . 0000E+00 -. 1787E+04 .OOC)E+C). O.C)E+00 -. 1103E+04 . 00(ZCE+C)0Stress 4 . 000E+C0 -. 1787E+04 .0000E+00 .00o)0E+00 -. 1489E+04 .0000E+00

***BEAM NO. 4***LLoads 4 . ()CO)()E+0c -. 8100E+04 . O000E+00 . O000E+00 .OOOOE+00 . 1173E+05LLoads 5 . OOOE+00 . 8100E+04 . 00)0E+00 . 0C)C)E+O0 . OOOOE+00 -. 1732E+05

Stress 4 . 0000E+00 -. 2148E+04 . O00oE+O0 . O000E+00 -. 1650E+04 . O0CO')E+0(:)Stress 5 .O000E+00 -. 2148E+04 . 000E+00 . OOOE+00 -. 2437E+04 . 00C E+0()

V ***BEAM NO. 5***LLoads 5 . 0000E+00 -. 8100E+04 . 000E+O0 . O00)E+0o . 000E+00 . 1732E+05LLoads 6 .0000E+O0 .81)OE+04 . O000E+00 . 00)E+00 . C)OOE+0 -. 229()E+05Stress 5 . 0O00E+00 -. 2148E+04 . 000E+00 . 0OOE+00 -. 2437E+04 . O000E+'))Stress 6 .000E+O0 -. 2148E+04 .0000E+00 . O000E+00 -. 3223E+04 . C00C-E+i"O

***BEAM NO. 6***

, LLoads 6 .0000E+00 .3899E+04 .O000E+O0 . 000E+00 OOOOE+00 . 2290E+05LLoads 7 .0000E+00 -. 3899E+04 .O000E+00 .OCOOE+00 . 00C)E+00 - 2095E+05Stress 6 . 0000E+00 . 1917E+03 .OOOE+O0 . O000E+O0 -. 4823E+03 . O0C)00E+00Stress 7 . 0OC)E+00 .1917E+03 .000E+00 .O000E+00 -. 4413E+03 . 00E+00

***BEAM NO. 7***LLoads 7 . C)OOE+00 .3899E+04 .0000E+00 .000oE+0O O000E+0 .2(')95E+05LLoads 8 .CM)OE+O0 -. 3899E+04 .O000E+00 .0000E+00 .O000E+O0 -. 1901E+05Stress 7 .0000E+00 .1917E+03 .O000E+00 .O00CE+00 -. 4413E+03 .0CC00E+C)0

Stress 8 . 00E+00 .1917E+03 .OC)OE+O0 . 000E+O0 -. 4002E+03 .000 0E+O()***BEAM NO. 8***

LLoads 8 .O000E+00 .3899E+04 . O000E+O0 .0000E+00 . :O0(:)E+(0 .1901 E+05LLoads 9 . 000E+0) -. 3899E+04 . 00o0E+CO .O'OC0E+0C .O000E+00 -. 1608E+05Stress 8 .O000E+00 .5637E+03 .O(:)()E+C)C) 0()E+O0 - 1I401E+04 .00):)0E+0'Stress 9 .O00C)E+ 0 .5637E+03 C)0C)C)E+C) * C)C)O)E+0(:) -. I185E+04 .(000'0E+00

* *,*

FMC CORPORAT ION S/N: 80C)484 02-25-87PAGE 2

I M A G E S 3 DCopyright (c) 1984 Celestial Software Inc.





***BEAM NO. 9***LLoads 9 .0000E+00 .3899E+04 .OOOOE+00 .0000E+00 . OOOOE+00 .1608E+05LLoads 10 .O000E+0 -. 3899E+04 .OOOOE+00 .0000E+00 .0000E+00 -. 1352E+05Stress 9 . 0000E+00 . 1071E+04 .0000E+00 .0000E+00 -. 2348E+04 . 0000E+00Stress 10 .0000E+00 .1071E+04 .000E+00 .0000E+00 -. 1974E+04 .0000E+00

***BEAM NO. 10***

LLoads 10 .0000E+00 .3899E+04 .0000E+00 .0000E+00 . O000E+00 .1352E+05LLoads 11 .0000E+00 -. 3899E+04 .0000E+00 .0000E+00 . O000E+00 -. 1096E+05Stress 10 .0000E+00 .1071E+04 .0000E+00 .0000E+00 -. 1974E+04 .0000E+00Stress 11 .000)0E+00 . 1071E+04 .0000E+00 .0000E+00 -. 1601E+04 .C)000E+C)0

***BEAM NO. 11***

LLoads 11 .0000E+00 .3899E+04 .0000E+00 000E+00 .OOOOE+00 .1096E+05-Loads 12 .0C0E+00 -. 3899E+04 .OOOOE+00 .OOOOE00 .OOOOE+00 -. 8406E+04Stress 11 .0000E+00 .1071E+04 .0000E+OC) . 0000E4 ')0 -. 1601E+04 .0000E+00Stress 12 . OOOOE+O0 .1071E+04 .O000E+00 .OOOOE+00 -. 1227E+04 .O000E+00

***BEAM NO. 12***

LLoads 12 .0000E+00 .3899E+04 .OOOOE+00 .0000E+00 .0000E+00 .8406E+04LLoads 13 .0000E+00 -. 3899E+04 .000E+00 .OOOOE+00 .000E+00 -. 5848E+04Stress 12 .00C)0E+00 .1071E+04 .0000E+00 .OOOOE+00 -. 1227E+04 .00C0E+00Stress 13 .00C)0E+00 .1071E+04 .O00E+00 .000E+00 -. 8537E+03 .0000E+00

***BEAM NO. 13***LLoads 13 .OOOOE+00 .3899E+04 .OOOOE+00 .O00C)E+00 .O000E+00 .5848E+04LLoads 14 .000(E+00 -. 3899E+04 .O00OE+00 .0000E+00 .OOO0E+0) -. 4386E+04Stress 13 .0000E+00 .8112E+03 .0000E+00 .0000E+00 -. 6970E+03 .C)OC)CE+00Stress 14 .0000E+00 .8112E+03 .O000E+00 .0000E+00 -. 5227E+03 .0C)00E+00

***BEAM NO. 14***LLoads 14 .0000E+00 .3899E+04 .0000E+00 .0000E+00 .0000E+)0 .4386E+04LLoads 15 .0000E+00 -. 3899E+04 .0000E+00 .O00E+00 .0000E+00 -. 1949E+C'4Stress 14 .OOOE+00 .6333E+03 .0000E+00 .O(;C)OE+00 -. 4485E+03 .0C)OOE+0Stress 15 .0000E+00 .6333E+03 .0000E+00 .0000E+00 - 1993E+03 000C)0E 0

***BEAM NO. 15***LLoads 15 .0000()E+00 .3899E+04 . 00C)0E+00 .0000E+00 . 0000E+O0 . 1949E+C)4LLoads 16 . 0000E+')0 -. 3899E+04 .0000E+00 .0000E+00 OOO0E+0') -. 9746E*3Stress 15 . 0000E+00 .4894E+03 . 0000E+00 . 0000E+00 -. 1319E+03 . OC))C,'E+CStress 16 .0')00E+00 .4894E+03 . 0000E+00 .0000E+00 -. 6593E+02 . Oo0'.E+0 O

***BEAM NO. 16***LLoads 16 .0000E+00 .3899E+04 . 0000E+00 . 00(')c)E+CO0 .000E+00 .9746E+r:3'-Loads 17 .0000E 00 -. 3899E+04 .0000E 00 .0C00E+00 . 0000E+00 . 1743E-083tress 16 . 000E+00 .2840E+03 . (0)OE+C:) . 0000E+00 -. 3492E+0)2 . I( )C)E+QQ'Stress 17 , 0000E+00 .2840E+03 . 0000E+0C1 .0000E+C0 . 6244E- 10 .00C*E+0

FMC CORPORATION S/N:8('C0484 02-25-87PAGE 3

I M A G E S 3 D =-....... .= Copyright (c) 1984 Celestial Software Inc. =





Maximum (absolute) Stress .3223E+04 at BEAM 5


5 . 000E+00 -. 2148E+04 . O000E+O0 . OOOOE+00 -. 3223E+04 . O000E+00

I

'I

-MC CORPORATION S/N: 600484 02-25-87PAGE

Copyight(c)1984 Celestial Software Inc.-


LTHD Wheel Hu~b -- Simple Beam Model

Load Case 2: 4.56 Air Dr-op

REACTIONS

Node Fx Fy Fz Mx My M

1 * OOOOE+00 -. BIOOE+o4 .00E0 OOOOE+00 OOOOE+00 . 0000E-0 .O OE+00

17 OOOO0E+00 -. 3899E+04 . 0000E+00 .0000OE+00 OOOO0E+00 . 0000E+00

N.

r6.

volum (u) fc corp m inneapolis h inn northern … · 2014-09-27 · a-partial phase 2 volum (u) fc...

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