Pipe Span Calculation (By Piya K.)
(Formulation refer from Pipe Stress Handbook in SI Unit)
Enter weight per unit lenght of pipe(kg/m.) , W
Enter section modulus of pipe (mm3.) , Z
Enter moment of inertia (mm4.) , I
Enter pipe span between adjacent (m.) , L
Enter modulus of elasticity (N/mm2) , E
Span are limited by maximum deflection of 12.5 mm
Pipe stress not exceed 28 N/mm2.
Pipe are assumed to be filled with water
modulus of elasticity of carbon steel pipe (A106 Gr.B) = 203390 N/mm2
modulus of elasticity of carbon steel pipe (A312 TP316L) = 195120 N/mm2
span are based on formulae :
d = ( 98 x 10^6 w L^4 / EI )
stress are based on formulae :
s = 981 wL^2 / z
We have carbon steel pipe 4" sch 40 then the input data are as follow
W = 24.3 kg/m
Z = 52680 mm3
I = 3010500 mm4
E = 203390 N/mm2
Try L = 7 m.
You will get the result as this
deflection = 9.338 mm.
pipestress = 22.17 N/mm2
" This is OK becuase the result within limit as note 1 and 2 then you can use span at 7 m for pipe 4" sch 40. "