padeye calculation example

7
COMPANY PROJECT SUBJECT 1. Summary Result Shackle and Sling Sling Stress Ratio Shackle Stress Ratio Padeye Dimensional Check Outside Radius Check Pin Hole Diameter Check Total Padeye Thickness Check Total Cheeck Plate Thickness Check Stress Check around the Hole Bearing Stress Check Shear Stress Check Shear Stress Check at Weld (Cheek Plate 1 - Main Plate) Shear Stress Check at The Base of Padeye Tension Failure Tearout Failure Stress Check at the End of Padeye Von Mises Stress Ratio Sling Selection Sling Type Cable Laid Sling Sling Diameter mm Shackle Selection Shackle Type Green Pin P-6033 Shackle WLL MT Padeye Selection Main Plate Thickness mm Main Plate Radius mm End Main Plate Thickness mm Cheek Plate 1 Thickness mm Cheek Plate 1 Radius mm Cheek Plate 2 Thickness mm Cheek Plate 2 Radius mm Pin Hole Diameter mm 2. Code and Reference a. TEP - 9001 - DBS - ST - BP5 - 0001 Structural Design Basis b. AISC - ASD 9 th Ed. Manual of Steel Construction, Allowable Stress Design c. DNVGL - ST - N001 Marine Operation and marine warranty d. Sling Catalogue e. Shackle Catalaogue Green Pin Catalogue 3. Load Comparison SACS applicable Load = MT Design Load for Padeye Check = MT OK 0 0 221 289 700 75 400 75 350 597 600 60 0.72 0.75 0.37 0.40 1.12 0.88 0.59 0.56 NOT OK OK 23/09/2016 REFERENCE Description Unity Check 1.33 OK OK

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COMPANYPROJECTSUBJECT

1. Summary Result

Shackle and SlingSling Stress RatioShackle Stress Ratio

PadeyeDimensional CheckOutside Radius CheckPin Hole Diameter CheckTotal Padeye Thickness CheckTotal Cheeck Plate Thickness Check

Stress Check around the HoleBearing Stress CheckShear Stress CheckShear Stress Check at Weld (Cheek Plate 1 - Main Plate)Shear Stress Check at The Base of PadeyeTension FailureTearout Failure

Stress Check at the End of PadeyeVon Mises Stress Ratio

Sling SelectionSling Type Cable Laid SlingSling Diameter mm

Shackle SelectionShackle Type Green Pin P-6033Shackle WLL MT

Padeye SelectionMain Plate Thickness mm Main Plate Radius mmEnd Main Plate Thickness mmCheek Plate 1 Thickness mm Cheek Plate 1 Radius mmCheek Plate 2 Thickness mm Cheek Plate 2 Radius mmPin Hole Diameter mm

2. Code and Referencea. TEP - 9001 - DBS - ST - BP5 - 0001 Structural Design Basisb. AISC - ASD 9th Ed. Manual of Steel Construction, Allowable Stress Designc. DNVGL - ST - N001 Marine Operation and marine warrantyd. Sling Catalogue e. Shackle Catalaogue Green Pin Catalogue

3. Load Comparison SACS applicable Load = MTDesign Load for Padeye Check = MT OK

0 0221

289

700

75 400

75 350

597600

60

0.720.750.370.40

1.12

0.88

0.590.56

NOT OKOK

23/09/2016 REFERENCE

Description Unity Check

1.33

OKOK

COMPANYPROJECTSUBJECT

23/09/2016 REFERENCE

4. Shackle and Sling Design

Sling ForceMaximum Sling Static Load (SSL) = MT = kN

Dynamic Amplification Factor (DAF) = Design BasisSkew Factor (SKL) = Ch. 8.9.4Consequences Factor (CF) =

Load Factor = DAF x SKL x CF = Design BasisCh. 8.9.4

Design Sling Load (DSL) = MT = kN

Sling SelectionNominal Safety Factor for Sling (γsf) = DNVGL-ST-N0001

γf γc γr γw γm = 4.9 sect 16.4.3.12.3 γr γw = 4.5

DNVGL-ST-N0001Lifting Factor γf = sect 16.4.4.1Consequences Factor γc = sect 16.4.5.1Sling Reduction Factor γr = (Maximum of γs and γb) sect 16.4.6.1

Termination Factor γs = sect 16.4.7Bending Factor γb = sect 16.4.8

Sling Bending Diameter = mm Shackle CatalogueWear Application Factor γw = sect 16.4.10Material Factor γm = sect 16.4.9

The width available for the sling shall be not less than 1.3d (limited to 1.25d + 25 mm), where d is nominal DNVGL-ST-N0001sling diameter in mm. sect 16.4.9.1

1.3d = mm OK1.25d + 25 mm = mm

Minimum Breaking Load MBL = SSL x γsf/CF = MT = kNSling Type = Cable Laid SlingSling Diameter = mmSling MBL = MT

Sling UC = > NOT OK

Shackle SelectionShackle Type = Green Pin P-6033 Green Pin

CatalogueWorking Limit Load WLL = MTDerrated Factor φ =Pin Diameter b = mmInside Jaw Width e = mmInside Length f = mmWidth Bow g = mm

Criteria Shackle Selection DNVGL-ST-N0001The shackle WLL should not be less than the static sling load sect 16.5.2

Working Limit Load WLL x φ = MTMaximum Sling Load P = MT

WLL > P > OK

The shackle dynamic load is to be less than the minimum of the following values DNVGL-ST-N0001Shackle WLL x DAF x φ = MT sect 16.5.2Shackle MBL / 3.0 = MT

Shackle MBL = 5 x WLL = MT Green Pin Catalogue

Shackle Unity Check = OK0.88

751

678.7608600

746.63691131

3393.804

540

2892461.5

1.33

700

215315

3801.101.50

3263.374

97%

375.7386.25

32014

Max

1.301.301.771.251.77

1.001.30

1.43

858 8417

4.94

600 5886

1.10

COMPANYPROJECTSUBJECT

23/09/2016 REFERENCE5. Padeye

Criteria PadeyeMain plate height, Mp,h = mmpin hole diameter (dh) = mmradius of main plate (Rm) = mmradius of cheek plate 1 (Rc1) = mmradius of cheek plate 2 (Rc2) = mmmain plate thickness (tm) = mmYield Stress (Fy) of Main Plate = MPaYield Stress (Fy) of Cheek Plate 1 = MPaYield Stress (Fy) of Cheek Plate 2 = MPa

cheek plate (1) thk, tce1 = mmcheek plate (1) thk, tce2 = mm

DNVGL-ST-N00011. The outside radius of the padeye main plate shall be no less than the diameter of the pin hole. sect 16.9.5.1

Rm > dh --> OK

2. Pin-holes should be bored / reamed, and should be designed to suit the shackle proposed. sect 16.9.5.2The pin hole diameter shall be 2 mm or 3% larger than the diameter of the shackle pin,whichever is the greater, up to a maximum of 6 mmb + 2 mm = mm Min Pin Hole Diameter mmb + (3% x b) = mm Max Pin Hole Diameter mmb + 6 mm = mm Status

3. The pad eye thickness at the hole shall not be less than 75% the inside width of the shackle sect 16.9.5.4Rm + 2 Rc1 + 2 Rc2 = mm NOT OK0.75 x e = mm

4. The total thicknesses of cheek plates on one side of the main plate should not exceed 100% sect 16.9.5.5of the main plate thickness. The cheek plates should be symmetric either side of the main plate.tce1 + tce2 = mm OKtm = mm

Padeye Design ForcesPadeye Cordinate X = m Location of Padeye =

Y = mZ = m

X = m X = mY = m Y = mZ = m Z = m

Hook Cordinate (FEED)

Hook Cordinate (SACS)

-10.00-15.0048.80

-0.37-0.4774.56

-0.26-0.0380.32

Row C-2

75

217.0221.5221.0

225236

75

75325325325

750

221221OK

1000221400350

0

DSF

fz

fy

θ

COMPANYPROJECTSUBJECT

23/09/2016 REFERENCETo FEED Cordinate To SACS CordinateLx = m Lx = mLy = m Ly = mLz = m Lz = mLxy = (Lx

2 + Ly2)0.5 = m Lxy = (Lx

2 + Ly2)0.5 = m

Lxyz = (Lx2 + Ly

2 + Lz2)0.5 = m Lxy = (Lx

2 + Ly2 + Lz

2)0.5 = mβ1 = deg β2 = deg

β = β2 - β1 = deg

Out of Plane Angle = degreeDesign Sling Force (DSF) = MT

F (Out of Plane) = MAX DSF x sin β = MT = kN sect 16.9.3.13% x SSL

Stress Check arround the holeBearing Stress CheckBearing Force, Fb = kNBearing Area, Ab = mm2 b x (t m + 2 t ce1 + 2t ce2 )Bearing Stress, Fb/Ab = MPaAllowable Bearing Stress, 0.9 x Fy = MPa AISC Sect J8UC = OK

Shear Stress CheckShear Force, Fs = kNShear Area, As (γ - γ) = mm2

[(R m - 0.5d h )t m +(R c1 - 0.5d h )2t ce1 +(R c2 - 0.5d h )2t ce2 ] x 2Shear Stress, Fs/As = MPaAllowable Shear Stress, 0.4 x Fy = MPa AISC Sect F4UC = OK

Shear Stress Check at Weld (Cheek Plate 1 - Main Plate)Shear Force at Cheeck Plate 1, Fscheek 1 = kN

SQRT( (DSF x t ce1 /(t m + 2 t ce1 + 2t ce2 )) 2 + (3% DSF) 2 )DNVGL-ST-N0001sect 16.9.5.6

731300.56

2817

Cheek plate welds shall be proportioned and designed with due regard to possible uneven bearingacross the padeye/cheek plate thickness due to combined nominal (3%) and actual lateral loads

48375174

292.50.59

8417115275

4.6858

68.1

1731

26

1015

56

4.6

667.90

8417

1836

101532

60

fz

fy

θ

γ

γ

β

β

C

Mp h

α

α

COMPANYPROJECTSUBJECT

23/09/2016 REFERENCE

Fillet Weld Size, tw1 = mmFillet yield Strength, Fyw = MPa (70 ksi)Weld Shear Area, Aw1 = mm2 0.707 x Π x R c1 x t w1

Shear Stress at Weld, Fscheek1/Aw1 = MPaAllowable Shear Stress, 0.3 x Fyw = MPaUC = OK

Shear Stress Check at The Base of PadeyeShear Force, FsBase = kN DSF sin θ θ = 60 degShear Area, AsBase = mm2

Shear Stress = MPaAllowable Shear Stress, 0.4 x fy = MPa AISC Sect F4UC = OK

Tension and Tearout FailureTension Force, Ft = kNArea at Cross Section, At (α - α) = mm2

[(R m - 0.5d h )t m +(R c1 - 0.5d h )2t ce1 +(R c2 - 0.5d h )2t ce2 ] x 2Tension Stress, Ft/At = MPaAllowable Tensile Stress, 0.6 x fy = MPa AISC Sect D1UC = OK

Tearout Area, As (β - β) = mm2 t m ( Π R c1 x 2R m )Tearout Stress, Fs/As = MPaAllowable Shear Stress, 0.45 x fy = MPa AISC Sect D3.1UC = OK

Stress Check at the end of padeye

Main plate height, Mph = mmMain plate thickness, Mpt = mmStiffener Plate 1 width, t1w = mmStiffener Plate 1 thickness, t1t = mmStiffener Plate 2 width, t2w = mmStiffener Plate 2 thickness, t2t = mmStiffener Plate 3 width, t3w = mmStiffener Plate 3 thickness, t3t = mmStiffener Plate 4 width, t4w = mmStiffener Plate 4 thickness, t4t = mmDepth 1, d1 = mmDepth 2, d2 = mmDepth 3, d3 = mmCentre of pinhole to base of padeye, C = mmNeutral Axis, na = mm from top of stiffener 1

4400

550542.35

0.000.000.00

550.0040.00

0

0.40

100060

400.0040.000.00

731950.37

14246759

146

7500097

1300.75

8417115275

48227209

1041450.72

7289

35

taw taw

COMPANYPROJECTSUBJECT

23/09/2016 REFERENCE

About x - x axis

About y - y axis

Ixx = mm4

Iyy = mm4

Forces on Padeyes

Centre of pinhole to base of padeye, C = mm

Sling Load (DSF) = kNOut-pane Load (F) = kNFx = F = kNFy = DSF x Sin θ = kNFz = DSF x Cos θ = kN

Mx = = NmmMy = = Nmm

Check Axial and Shear Stress along a section base of the padeyefs = fvx + fxy

fvy = MPafvx = MPafbx = MPa fs =fby = MPafaz = MPafvy = MPafvx = MPafbx = MPa fs =fby = MPafaz = MPa

At Point B

121.490.0084.35 121.490.0030.94

72894208

3.58.E+093.67.E+08

At Point A

0.008.7984.35 8.7923.0230.94

2.22.E+107.34.E+09

550

8417668668

TOTAL 98000 1.04.E+07 2.89.E+09 7.34.E+09Area Main 60000 0 0.00.E+00 0.00.E+00 1.80.E+07

Area T4 22000 305 6.71.E+06 2.05.E+09 5.20.E+09Area T3 0 0 0.00.E+00 0.00.E+00 0.00.E+00

2.12.E+09Area T2 0 30 0.00.E+00 0.00.E+00 0.00.E+00

A (mm2) X(mm) AX (mm3) AX2 (mm4) Iyy (mm4)Area T1 16000 230 3.68.E+06 8.46.E+08

TOTAL 136000 7.38.E+07 1.73.E+10 5.01.E+09Area Main 60000 500 3.00.E+07 1.08.E+08 5.00.E+09

Area T4 44000 980 4.31.E+07 8.43.E+09 5.87.E+06Area T3 0 0 0.00.E+00 0.00.E+00 0.00.E+00Area T2 0 0 0.00.E+00 0.00.E+00 0.00.E+00Area T1 32000 20 6.40.E+05 8.73.E+09 4.27.E+06

A (mm2) Y(mm) AY (mm3) AY2 (mm4) Ixx (mm4)

COMPANYPROJECTSUBJECT

23/09/2016 REFERENCEfvy = MPafvx = MPafbx = MPa fs =fby = MPafaz = MPafvy = MPafvx = MPafbx = MPa fs =fby = MPafaz = MPafvy = MPafvx = MPafbx = MPa fs =fby = MPafaz = MPafvy = MPafvx = MPafbx = MPa fs =fby = MPafaz = MPa

Compute Von Mises combined stress, fc = [ (faz + fbx +fby)2 + 3fs2]0.5

Allowable combined stress, 0.66 x Fy = MPa

At Point F 125.57 0.59 OK

At Point D 0.00 0.00 OKAt Point E 233.68 1.09 NOT OK

At Point B 239.94 1.12 NOT OKAt Point C 0.00 0.00 OK

214.50

fc (Mpa) UC StatusAt Point A 139.16 0.65 OK

At Point F

0.008.7970.67 8.7923.0230.94

At Point E

121.490.0070.67 121.490.0030.94

At Point D

0.000.000.00 0.000.000.00

At Point C

0.000.000.00 0.000.000.00