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Sample DC of Spreader Bar
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PT. TECHNICsSPREADER BEAM CALCULATIONXXX METERING SKID : Tc- 14015
BEAM CHECKING
Total Weight (Wt) = 22046 lbs 10000.0 kgsSafety Factor (SF) = 1.5Test Load / Cal 33069 lbs 15000.0 kgsLength to CoG (Lc.g) = 71 in 180.3 cm ### 70.62992Total Length (Lt) = 152 in 386.1 cm ### 152.8346Height to Center (Hc) = 12.4 in 31.5 cm ### 12.40157Angle 1 (A1) = 68 degree 0Angle 2 (A2) = 65 degree 0
0Selected Beam : WF 300X150X6.5X9 Area A = 7.25 in^2 46.8 cm^2 ### 7 #REF!
(Sx) = 29.35 in^3 481.0 cm^3 ###### 1.155607Elastic Modulus (Sy) = 4.09 in^3 67.0 cm^3 ### 4 0.160968Modulus of gyrat 4.88 in 12.4 cm ### 5 0.1922Modulus of gyrat 1.30 in 3.3 cm 3 1Material A 36Max. Yied (Ym) = 36000 psi 2531.1 kg/cm^2E = 29000000 psi 2038922.7 kg/cm^2K = 1
W1 = ((Lt-Lc.g)/Lt)*Wtc = 17622.2961 lbs 7993.4 kgsW2 = (Lc.g/Lt)*Wtc = 15446.7039 lbs 7006.6 kgs
Fh1 = W1/tan(A1) = 7120 lbs 3229.6 kgsFh2 = W2/tan(A2) = 7203 lbs 3267.2 kgsFh = Biggest (Fh1,Fh2) = 7203 lbs 3267.2 kgs
culated Weight (Wtc) =
Elastic Modulus
ion (r xx) =ion (r yy) =
COMPRESSION STRESS 993 psi 69.8 kg/cm^2
Cc 126.1 (For A 36 & 107 for A 50)(Pls. See tabel 5 of App. A Page 5.76)
KLx/r xx 31KLy/r yy 117(KLx/r xx)/Cc 0.25(KLy/r yy)/Cc 0.93Govern 0.93Ca = from table 0.444All. Compression (Fa) = 15984 psi 1123.8 kg/cm^2
Check Compres OK
BENDING STRESSM1 = Fh1*Hc = 88286 lb/in 15766.3 kg.cmM2 = Fh2*Hc = 89316 lb/in 15950.2 kg.cmMoment (Mx) = biggest (M1,M2) = 89316 lb/in 15950.2 kg.cmMoment (My) = 5% * Mx = 4466 lb/in 797.5 kg.cm
Stress due to momentfbx = Mx/Sx = 3043 psi 213.9 kg/cm^2fby = My/Sy = 1092 psi 76.8 kg/cm^2All. Bending Stre 21600 psi 1518.6 kg/cm^2
Check Bending, fb < Fb = OK
Cm = 1
F'ex = 154166.3F'ey = 10852.702
UNITY CHECKChecking against formula 1.6-1afa/Fa + Cmx*fbx/((1-fa/F'ex)*Fbx) + Cmy*fby/((1-fa/F'ey)*Fby) = 0.25957 < 1 OK
Checking against formula 1.6-1bfa/0.6Ym + fbx/Fbx + fby/Fby = 0.23741 < 1 OK
Compression Stress, fa = Fh/A =
'=
'= '= '= '= '=
4 '=
sion fa < Fa =
ss (Fb) = 0.6*Ym =
F'e = (12*pi^2*E)/(23(KL/r)^2 =
PT. TECHNIC OFFSHORE JAYASPREADER BEAM CALCULATIONOCI METERING SKID : TOJ 14003
LUG CHECKING
Generals Data:Total empty weight, W = 10000 kgs = 22046 lbsSafety factor, SF = 2.50
= 15000 kgs = 33069 lbs= 25000 kgs = 55116 lbs= 2= 45.0 deg = 0.79 rad= 12500 kgs = 27558 lbs= 12500 kgs = 27558 lbs= 1250 kgs = 2756 lbs= 17722 kgs = 39069 lbs
Shackles Data: (Shackle Crosby G-2130 1-1/8" 9.5T WLL)= 9.5 Ton = 20944 lbs= 2.0
= 19 Ton = 41887 lbs= 32 mm = 1.26 in= 46 mm = 1.81 in= 123 mm = 4.84 in
Sling Data: (20T WLL)= 25 mm = 0.98 in= 9 Ton = 19841 lbs= 5.0= 45 Ton = 99207 lbs
WSWL = 1.5 WWSF = W SFNumber of lug, NL Min. angle, α Max vertical force, Fy = WSF / NL
Max horizontal force (in-plane), Fz = Fy / tan (a)Max lateral force (out-of-plane), Fx = 0.1 Fy
Max tension force in sling, Fsl = (Fz2 + Fy
2 + Fx2)0.5
Shackle working load limit, WLLs
Safety factor of shackle, SFs
Shackle max. proof load, MPLs
Pin diameter, DP
Jaws width, WJ
Jaws height, HJ
Diameter of sling, Ds
Sling Working Load Limit, WLLsl
Safety factor of sling, SFsl
Sling ultimate load, Usl
R
HH
WL
X
Z
DHHT
αFY
Y
r
Lug Dimensions:= 630 mm = 24.80 in= 555 mm = 21.85 in= 480 mm = 18.90 in
Radius of lug, R = 240 mm = 9.45 in= 50 mm = 1.97 in= 25 mm = 0.98 in
Radius of cheek, r = 50 mm = 1.97 in= 6 mm = 0.24 in= Safe Ratio = 93.27%= Safe Ratio = 39.38%= Clear Ratio = 64.00%= 18.00 mm = 0.71 in= Clear Ratio = 80.43%= 4.50 mm = 0.18 in
Check space of jaws, lug height and dia. of sling, = Clear Ratio = 60.98%
= -117.00 mm = -4.61 in
Material, Stress and Properties Data:Elastic Modulus, E = 199947.95 MPa = 29000000 psi
= 344.74 MPa = 50000 psiAllowable stress based on AISC Code 9th Ed. :
= 206.84 MPa = 30000 psi= 227.53 MPa = 33000 psi= 137.90 MPa = 20000 psi= 310.26 MPa = 45000 psi= 0.10
Stress-Concentration factor (near hole), K = 2.50
= 50.00 = 3.05= 960.00 = 58.58
Total Height of lift lug, HT
Height of hole centreline, HH
Width of lug, WL
Diameter of hole, DH
Thickness of lug, tL
Thickness of cheek, tCCheck shackle strength, Fsl / MPLs
Check sling strength, Fsl / Usl
Check space of hole and pin, Dp / DH
Dp - DH
Check space of jaws and lug thickness, (tL+2tC) / WJ
(WJ - tL - 2 tC)/2
(R + DS + DH/2) / HJ
HJ - R - Ds + DH/2
Yield Stress, Sa
Allow. Tensile Stress, Sta = 0.6 Sa
Allow. Bending Stress, Sba = 0.66 Sa
Allow. Shear Stress, Ssa = 0.4 Sa
Allow. Bearing Stress, Sbra = 0.9 Sa
DH/2R
(for flat plate with centrally located circular hole in tension based on DH/2R value)Section modulus of lugs, SLy cm3 in3
Section modulus of lugs, SLx cm3 in3
Stresses at Lug:= 10.22 MPa = 1482 psi= 206.93 MPa = 30013 psi= 10.22 MPa = 1482 psi= 1.02 MPa = 148 psi= 207.44 MPa = 30087 psi= Safe Ratio = 4.94%= Safe Ratio = 90.95%= Safe Ratio = 7.41%= Safe Ratio = 0.74%= Safe Ratio = 60.17%
Stresses near the Hole:= 28.51 MPa = 4135 psi= 16.45 MPa = 2386 psi= 2.85 MPa = 413 psi= 33.04 MPa = 4792 psi= 146.78 MPa = 21289 psi= 30.62 MPa = 4442 psi= Safe Ratio = 13.78%= Safe Ratio = 7.95%= Safe Ratio = 2.07%= Safe Ratio = 9.58%= Safe Ratio = 47.31%= 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 forceBook 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.
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)Shear stress x-axis, Ssx = Fx / (WL tL)Total stress, ST = (Stz
2 + Sbz
2 + Ssy2 + Ssx
2)1/2
Check tension stress z-axis, Stz / Sta
Check bending stress z-axis, Sbz / Sba
Check shear stress y-axis, Ssy / Ssa
Check shear stress x-axis, Ssx / Ssa
Check total stress, ST / Sa
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 = (Stz
2 + Sty
2 + Ssx
2)1/2
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
Check tension stress y-axis, Sty / Sta
Check shear stress x-axis, Ssx / Ssa
Check total stress, ST / Sa
Check bearing stress, Sbr / Sbra
Check pull-out shear stress, Ssp / Ssa