Spreader Bar

PT. TECHNICs SPREADER BEAM CALCULATION XXX METERING SKID : Tc- 14015 BEAM CHECKING

Total Weight (Wt) = Safety Factor (SF) = Test Load / Cal culated Weight (Wtc) = Length to CoG (Lc.g) = Total Length (Lt) = Height to Center (Hc) = Angle 1 (A1) = Angle 2 (A2) = Selected Beam : Area Elastic Modulus Elastic Modulus Modulus of gyrat ion Modulus of gyrat ion Material Max. Yied E= K=

A = (Sx) = (Sy) = (r xx) = (r yy) =

22046 1.5 33069 71 152 12.4 68 65

lbs

10000.0 kgs

lbs in in in degree degree

15000.0 180.3 386.1 31.5

WF 300X150X6.5X9 7.25 in^2 29.35 in^3 4.09 in^3 4.88 in 1.30 in

46.8 481.0 67.0 12.4 3.3

kgs cm cm cm

cm^2 cm^3 cm^3 cm cm

### 70.62992 ### 152.8346 ### 12.40157 0 0 0 ### 7 #REF! ###### 1.155607 ### 4 0.160968 ### 5 0.1922 3 1

A 36 (Ym) =

36000 psi 29000000 psi 1 17622.2961 lbs 15446.7039 lbs

7993.4 kgs 7006.6 kgs

7120 lbs 7203 lbs 7203 lbs

3229.6 kgs 3267.2 kgs 3267.2 kgs

W1 W2

= =

((Lt-Lc.g)/Lt)*Wtc = (Lc.g/Lt)*Wtc =

Fh1 Fh2 Fh

= = =

W1/tan(A1) = W2/tan(A2) = Biggest (Fh1,Fh2) =

2531.1 kg/cm^2 2038922.7 kg/cm^2

COMPRESSION STRESS Compression Stress,

fa = Fh/A =

Cc

'=

Check Compres sion BENDING STRESS M1 = M2 = Moment (Mx) = Moment (My) = Stress due to moment fbx = fby = All. Bending Stre ss Check Bending, = = = =

fa < Fa =

OK

Fh1*Hc = Fh2*Hc = biggest (M1,M2) = 5% * Mx =

88286 89316 89316 4466

Mx/Sx = My/Sy = (Fb) = 0.6*Ym = fb < Fb =

69.8 kg/cm^2

126.1 (For A 36 & 107 for A 50) (Pls. See tabel 5 of App. A Page 5.76) 31 117 0.25 0.93 0.93 0.444 15984 psi 1123.8 kg/cm^2

'= '= '= '= '= '= (Fa) =

KLx/r xx KLy/r yy (KLx/r xx)/Cc (KLy/r yy)/Cc Govern Ca = from table 4 All. Compression

Cm F'e F'ex F'ey

993 psi

lb/in lb/in lb/in lb/in

3043 psi 1092 psi 21600 psi

15766.3 15950.2 15950.2 797.5

kg.cm kg.cm kg.cm kg.cm

213.9 kg/cm^2 76.8 kg/cm^2 1518.6 kg/cm^2

OK 1

(12*pi^2*E)/(23(KL/r)^2 = 154166.3 10852.702

UNITY CHECK Checking against formula 1.6-1a fa/Fa + Cmx*fbx/((1-fa/F'ex)*Fbx) + Cmy*fby/((1-fa/F'ey)*Fby) =

0.25957 < 1 OK

Checking against formula 1.6-1b fa/0.6Ym + fbx/Fbx + fby/Fby =

0.23741 < 1 OK

PT. TECHNIC OFFSHORE JAYA SPREADER BEAM CALCULATION OCI METERING SKID : TOJ 14003 LUG CHECKING Generals Data: Total empty weight, W Safety factor, SF WSWL = 1.5 W WSF = W SF

= =

10000 kgs 2.50

=

22046 lbs

=

15000 kgs

=

33069 lbs

=

25000 kgs

=

55116 lbs

Min. angle, α Max vertical force, Fy = WSF / NL

= = =

2 45.0 deg 12500 kgs

= =

0.79 rad 27558 lbs

Max horizontal force (in-plane), Fz = Fy / tan (a)

=

12500 kgs

=

27558 lbs

Max lateral force (out-of-plane), Fx = 0.1 Fy

=

1250 kgs

=

2756 lbs

Max tension force in sling, Fsl = (Fz2 + Fy2 + Fx2)0.5

=

17722 kgs

=

39069 lbs

Shackles Data: (Shackle Crosby G-2130 1-1/8" 9.5T WLL) Shackle working load limit, WLLs =

9.5 Ton

=

20944 lbs

Safety factor of shackle, SFs

=

2.0

Shackle max. proof load, MPLs

=

19 Ton

=

41887 lbs

Pin diameter, DP

=

32 mm

=

1.26 in

Jaws width, WJ

=

46 mm

=

1.81 in

Jaws height, HJ

=

123 mm

=

4.84 in

Sling Data: (20T WLL) Diameter of sling, Ds

=

25 mm

=

0.98 in

Sling Working Load Limit, WLLsl

=

9 Ton

=

19841 lbs

Safety factor of sling, SFsl

=

5.0

Sling ultimate load, Usl

=

45 Ton

=

99207 lbs

Number of lug, NL

R

α

r FY

HT Z

X

DH HH

Y

WL

Lug Dimensions: Total Height of lift lug, HT

=

Height of hole centreline, HH Width of lug, WL

=

24.80 in

=

630 mm 555 mm

=

21.85 in

Radius of cheek, r Thickness of cheek, tC

= = = = = =

480 240 50 25 50 6

= = = = = =

18.90 9.45 1.97 0.98 1.97 0.24

Check shackle strength, Fsl / MPLs

Radius of lug, R Diameter of hole, DH Thickness of lug, tL

mm mm mm mm mm mm

in in in in in in

=

Safe

Ratio

=

93.27%

Check sling strength, Fsl / Usl

=

Safe

Ratio

=

39.38%

Check space of hole and pin, Dp / DH

=

Clear

Ratio

=

64.00%

Dp - DH

=

Check space of jaws and lug thickness, (tL+2tC) / WJ

=

Clear

Ratio

=

80.43%

(WJ - tL - 2 tC)/2 Check space of jaws, lug height and dia. of sling, (R + DS + DH/2) / HJ

= =

4.50 mm Clear Ratio

= =

0.18 in 60.98%

HJ - R - Ds + DH/2

=

-117.00 mm

=

-4.61 in

= =

199947.95 MPa 344.74 MPa

= =

29000000 psi 50000 psi

Material, Stress and Properties Data: Elastic Modulus, E Yield Stress, Sa Allowable stress based on AISC Code 9th Ed. : Allow. Tensile Stress, Sta = 0.6 Sa

18.00 mm

=

0.71 in

=

206.84 MPa

=

30000 psi

Allow. Bending Stress, Sba = 0.66 Sa

=

227.53 MPa

=

33000 psi

Allow. Shear Stress, Ssa = 0.4 Sa

=

137.90 MPa

=

20000 psi

Allow. Bearing Stress, Sbra = 0.9 Sa DH/2R

=

310.26 MPa

=

45000 psi

Section modulus of lugs, SLy

=

50.00 cm3

=

3.05 in3

Section modulus of lugs, SLx

=

960.00 cm3

=

58.58 in3

0.10 = 2.50 Stress-Concentration factor (near hole), K = (for flat plate with centrally located circular hole in tension based on D H/2R value)

Stresses at Lug: Tension stress z-axis, Stz = Fz /(WL tL)

Bending stress z-axis, Sbz = HH(Fy/SLx+Fx/SLy) Shear stress y-axis, Ssy = Fy / (WL tL)

= =

10.22 MPa 206.93 MPa

=

1482 psi

=

30013 psi

=

1482 psi

=

148 psi

=

10.22 MPa 1.02 MPa

Total stress, ST = (Stz2 + Sbz2 + Ssy2 + Ssx2)1/2

=

207.44 MPa

=

30087 psi

Check tension stress z-axis, Stz / Sta

=

Safe

Ratio

=

4.94%

Check bending stress z-axis, Sbz / Sba

=

Safe

Ratio

=

90.95%

Check shear stress y-axis, Ssy / Ssa

Shear stress x-axis, Ssx = Fx / (WL tL)

=

=

Safe

Ratio

=

7.41%

Check shear stress x-axis, Ssx / Ssa

=

Safe

Ratio

=

0.74%

Check total stress, ST / Sa

=

Safe

Ratio

=

60.17%

Stresses near the Hole: Tension stress, Stz = K Fz / [(WL - DH) tL]

=

Tension stress, Sty = K Fy / [(HH + R - DH) tL] Shear stress, Ssx = K Fx / [(WL - DH) tL] Total stress, ST = (Stz2 + Sty2 + Ssx2)1/2

= = =

28.51 MPa 16.45 MPa

=

4135 psi

=

2386 psi

2.85 MPa 33.04 MPa

=

413 psi

=

4792 psi

146.78 MPa 30.62 MPa

=

21289 psi

=

4442 psi

Bearing stress, Sbr = Fsl / [Dp (tL + 2tc)]

=

Pull-out shear, Ssp = Fsl / [tL(R - ½DH) + 2tc(r - ½DH)]

=

Check tension stress z-axis, Stz / Sta

=

Safe

Ratio

=

13.78%

Check tension stress y-axis, Sty / Sta

=

Safe

Ratio

=

7.95%

Check shear stress x-axis, Ssx / Ssa

=

Safe

Ratio

=

2.07%

Check total stress, ST / Sa

=

Safe

Ratio

=

9.58%

Check bearing stress, Sbr / Sbra

=

Safe

Ratio

=

47.31%

Check pull-out shear stress, Ssp / Ssa

=

Safe

Ratio

=

22.21%

Note: - SF including WCF, DAF, SKL, CF (Noble Denton 0027/NDI Rev 5, Guideline for Lifting Operation) - Lateral force is calculated based on 5% vertical force Book Reference : Teng H. Hsu, "Applied Offshore Structural Engineering", page : 67-72. Book Reference : Noble Denton 0027/NDI Rev 5 "Guideline for Lifting Operation", page : 14-19.