CALCULATION FOR SPREADER BEAM Tag No: V-211-004 Pipe 24 " OD = Thickness of Pipe ID = C/S Area
Service:AGSU Stripper
mm mm mm mm^2
609.6 14 581.60 26195.86 2
PIPE PROPERTIES Material SA 283 Min. Yield Strength (Fy) 2080.17 kg/cm^2
2
( OD + ID ))/4 Radius of Gyration ( r ) = = 210.63 Moment of inertia(I)=( PI()/64)*(D^4-Di^4) Section modulus(Z)= Pi()/32*(OD^4-ID^4)/OD Distance in between lifting plate ( l ) =
E=
2059770
kg/cm^2
mm mm^4 mm^3
1162229456 3813088.77
Slenderness Ratio=
=
2
Cc = sqrt(2∏ *E / Fy)
=
139.81
6580.00 mm mm
K
1
K*l / r =
31.24
R
Allowable Compressive stress -Fa (as per Equation E2-1 of AISC ASD) 2
Fa=
2
L
[1-(Kl/r) / 2Cc ]*Fy 3
3
5/3 + (3*(Kl/r)/8Cc) - ((Kl/r) /8Cc ) 2
2
(Kl/r) / 2Cc =
0.024963925
(3*(Kl/r)/8Cc) =
0.083792028
3
3
(Kl/r) /8Cc = Therefore
D O E P I P
0.001394519 1159.61 Kg/cm^2
Fa =
I ) Check for axial compressive stress : -
Total Equipment weight be lifted = W
= 286000
Kg
a =
Load Load at each each end = W/2 = 143000 143000 Shock factor = 2 In state of equilibrium , Design load at each lifting plate = Pv = W/2 x Shock Factor =
60 Pt
286000
Kgs
P axial axial ( P a )= Pv / Tan a
Pa
=
165122
60 minimu minimum m angle angle Pa Kgs
Compressive Stress Induced ( Pc ) = P a / Area of cross section Pv Pc
= =
As Pc < Fa, Provided size of Spreder bar is
6.3 Kg/mm^2 630.3 Kg/cm^2
OK
CALCULATION FOR SPREADER BEAM Tag No: V-211-004
Service:AGSU Stripper
II ) Check for Lifting Plate Matl : A 516 Gr.65 Yield stress = a) Shear at lifting eye : allowable Tensile stress St = Allowable stress due to Bending =Sb = 2/3 x Yield = 330 mm End Radius ( R )= 220 mm Eye pad Radius ( Re )= Re=
Allowable Shear stress = 0.5* yield = 1223.625 Kg/cm^2 Ss= Kg/mm^2 Kg/cm^2 Since fs
b) Tensile Strength = Pv/(2*R*tl)
ft
=
6.67 = 666.67 c) Check for Stress Due to Bending Moment caused by Pa : Distance of Lifting hole center from Spreader Bar OD = L = Bending Moment due to Pa = Pa x L = Sectional Modulus of the Lifting plate = Zxx = (t x (2x R)^2)/6 = Hence Stress Induced fb= Pa x L / Zxx =
kg/mm^2 Kg/cm^2 Since ft<0.66*Yield OK
245 mm. 40454933.36 Kg-mm 4719000 mm^3 857.2776724 kg/cm^2
Since f b
1.183853039 <1
Hence Safe
c) Check for combined bending & Shear:
fs/Ss+ fb/Sb
=
d) Weld check for Lug : Fillet weld size Weld length Weld Area, A = Fillet Weld size * Weld Length Direct stress in weld = Load / Area Direct stress in weld < Allowable Shear stress in welds
