Lifting Beam Design [PDF]

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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 = ### 10,852.70



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



LIFTING LUG CALCULATION : Material of lug Yield Stress Width of lifting lug Height of lifting lug Thickness of lifting lug Distance of hole from the top of the lifting lug Diameter of hole in the lifting lug bottom of the welding to the center of hole Total weld length on lifting lug Fillet weld size on lifting lug



IS 2062 Gr A Sy b H t R d s Lw w



350 N/mm2 400 mm 250 mm mm 50 mm 150 80 100 900 12



mm mm mm mm mm



Result of the lifting lug Weight to be lifted Jerk factor Number of lugs Force acting on the lug = w * j / n



W j n F



150000 2 4 735750



KG



Double shear C/S area at sec a-a = (R - d/2) * t C/S area at sec b-b = (b-d) * t



Aa Ab



5500 16000



mm2 mm2



PASS N



Shear stress at area a-a = F / Aa (double shear) Permissible shear stress 0.4 * Sy RESULT



Ssa Ss



133.77 N/mm2 140 N/mm2 PASS



Tenisile stress Tenisile stress at area b-b = F / Ab Permissible tenisile stress = 0.66 * Sy RESULT



Stb Stb



45.98 N/mm2 231 N/mm2 PASS



Horizontal force on lifting lug (assuming 150 sling angle) Bending moment at base of Bracing =F*h Section modulus of bracing = b * t2 / 6



Fh Mo z



190355.48 N 19035548 N-mm 166666.67 mm3



Bending stress Mo / z



Sbw



114.21 N/mm2



Permissible bending stress 0.66 * Sy RESULT



Sbw



231 N/mm2 PASS



Bending stress



Bearing stress Force on Lug bearing area of hole



Fh



735750 4000.00



N mm3



Bearing stress



Sbw



183.94 N/mm2



Permissible bending stress 0.66 * Sy RESULT



Sbw



231 N/mm2 PASS



Weld check of the lug



Total weld area of fillet of lifting lug = ( Lw * w ) / 1.414 Shear stress = F / Aw Permissible shear stress = 0.4 * Sy RESULT



Aw Ssw Ss



7637.91 mm2 96.33 N/mm2 100 N/mm2 PASS