<D2001.) by R.C. Hibbeler. Published by Pearson Prentice Hall, Pearson Educacion, Inc., Upper Saddle River, NJ. All rights rese.ved. This material is protected under all

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2-13. Classify each of the structures as sta tically d (a) minate statically indetenninate, or unstable. If indet! nate, specify the degree of indeterminacy.

(a)

(b)

(b) (c)

(a) r = 6, n =

r> 3n

6 = 3(1)

(c) Indetcrrninanat to 3° Ans

(b)

r= 10, II = 3 r > 3n

10= 3(3)

Statically indeu:rminare to the 10 Ans

(c)

r = t2, TI := 4 r = 3n

J2 = 3(4)

StalicaJJy l1elWIlin3le Ans

19

© 2009 by R.C. Hibbeler. Published by Pear~;on f'rcn':ice Hall, Pearsoll Education, Inc., Upper Saddle River, NJ All rights reserved. This material is protected under all copyright laws as they currently exist. No portion of rhis material may be reproduced, in any form or by any means, wilhout permission in wIlting from the publisher

2-14. Classify each of the frames as statically determinate, statically indetenninate, or unstable. If indeterminate, specify the degree of indeterminacy. All internal joints are fixed connected.

(c)

(d)

(a)

-­(b)

Ans

, = 3n

3 = 3( 1)

SwicalIy dcu::murulle.

r :> 3/l

20 :> 3(4)

SLatically incle~ to go. AIlS

ta)

(b)

(d)

(e) , > 3n

15> 3(3)

Slatieally inder.ernUnll'" 10 6".

r :> 3n

15 :> 3(3)

Statically indt.lCIlIlin~ to 6"

(e)

JP (f)

t (el

r :> 3n

t2 '> )(2)

Stati<:aJJy indcl.C(Jll~~.:ue 10 6" AIlS

(f)

.r:,. 3n

17 :> 3t 3)

Swically indcteOUU1alC 10 8". Aas

+~1~-"'--ll-...,f--­

:v

'-- ­ .__.

20

--1

~!9 by R,C. Hibbeler. Published by Pearson Prentice Hall, Pearson Education, Inc, Upper Saddle River, NJ, Allr;ghts reserved, This material is protected under alld under all evpyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.'ublisher,

3-1. Classify each of the following trusses as stable, unstable, statically determinate, or sta ticaUy indeterminate, lfindeterminate state its degree, All members are pin con­nected at their ends,

(a) b:;;; 9 , :;;; 3 :;;; 6J b+r= 2i

12:: 12 SWQlly ddenninaIe Ans

(a)

(h) h ::: 29 r =:; 3 ) :::0 14 b+r> 2)

32> 28 Indc:t=nnin.ale 10 4° ADS

(c) b = 18 T '" 4 j :: 11 (b)

b+r= 2j 22=22

Sw:.ically dc:aminaIe ADS

(0 b =6 r :;;; 5 ) =4 h .... r > 2)

11 > 8 1ndccrminHr II> ~ Au

(c) (d)

3-2. Classify each of the following trusses as statically determinate, statically indeterminate, or unstable, If inde­terminate, state its degree.

( a) r =0 3

b 15=0

j =. 9 ~':.:- .

g ( .- "<<c:::;."" :.~: .. \.~.,- j. . .' ~ 3 + 15 = 9(2)

. ,

SIaucally delwuinate, Ans'~"~ (a)

(b) r =0 3

b = 11 j = 7

3 .;- [t '" 7(2)

Statically det.errninaLG, Ans (b)

(e) r =0 3

b = 12

j'" 8

3 + 12 < 8(2)

15 < 16

(c) Unstable. Ans

43

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copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in wliting from the publisher.

(a)

3-3. Classify each of the foJlowing trus~c"· ClS SlCltistiC<lJly determinate, indeterminate, or unstClble.If indeterminate, state iL<; degree.

(b) (a) b=13 r=3 j=8 b+r=2j 16 = 16

Sr.a.rjQliy ~ Am

(b) b::9 r::4 j=6 b + r :: '1j 12:: 12

Statica.Uy ind~ 10 1° Ans

(c) (c) b=9 ,:=4 j=6 b+f>2j 13> !2 Sw¥::Uly indelCmlinalc to I" ADS

(d) b = 10 1= 3 j = 6

b + r > 2j 13> 12 Scalic:aUy indcll::n1Unalt to I" ADS

(d)

'-- .•._._ ..

44

--I

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~1. The overhanging beam has been fabricated with 4­projected aml BD on it. Draw the shear and moment m\ diagrams for the beam ABC if it supports a load of 800 lb. an Hint: The loading in the supporting stn;\ DE must be replaced by equivalent loads at point B on the axis of the beam.

+ rtF, ~o;

C, = 1600 Ib

VOb) V = -800 IbIIlIIX

Mm., = -4000 Ib-fl Ans -i~--~b---:+,.-:t.<.i()

-a~----l

L......- •__ •__ ••.• _

118

16 It

·F. ·,.r. 20ft

jl009 by Re. Hibbeler. Published by Pearson Prentice Hall, Pearson Education, Inc., Upper Saddle River, NJ. All lights reserved. This material is protected under all ublishcr.

underall copylighl laws as they cunently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.

4--62. Draw the shear and moment diagrams for each member of the frame. Assume the support at A is a pin and D is a roller.

0.6 kilt

4·/6K

Villa. = -11.8 K ADS

Mm,cx = -87.6 K.fl AilS

4--63. Draw the shear and moment diagrams for each 20 kmember of the frame. Assume A is fixed, tbe joint at B is

a pin, and support C is a roller.

La/(

Ib'O.K:-1 ~.ot:.

6ft '-It f6·0"

q ~Ol<.16·01<

8ft005 r.JIt --6ft ­r-- 6ft ­

11

~";';;;';-~=====~"'-'~c

8 It

6·01:

/t,.OICZO·OI:

IA-4IC-Jt.

boOK

V.,a. = 20.0 K ADS

=-144 K.ftM llliJX ADS

119

#4-.

A-~ -4 '1'{: ~/4_\t.--:'z.;

. tc,~'1,.,

- -t'-- ~ f ~ Cv

+y ~ t-A." -=-0 j

L-Ay ':- 1i (~ )-t" -Tr LT) ~

+~ "l, Me, -=-0 'r

't~ k ~ 1~l~) -"7 C~)

b l't-::.()) ~ - ~ ~O

V'~9 ~ tJsw19

ianp:. 2t~ .... 9 ~ ~3 .be( •

~ o.~;'2-S V ~ D, t~t.{10 N -=t N~3!2.. v'

VSw\9 -t ~c.o$e-?-~

V-;. •O;1.00't ~

~ ";.. _(.,.](2­

-( (90 ':- -e.. (, t'l..b2.) -+ C --- •0 e>6q t.{

1-;.. -. oOhtlt.{ )(1..

III I '9 x,"2-'{,o' __ [.,,-­ ,ro-- .cO,,((t{("fo'l.)"3-1!.1 ft

x~ f#Ol ~ h" 0;. 1(>ft-~ !