Section modulus and value of bending moment, Mechanical Engineering

Q. What do you mean by section modulus (Z)? What is value of bending moment in the terms of section modulus?

Sol.: Section modulus is ratio of M.I. about neutral axis which is divided by the outer most point from the neutral axis.

Z = I/ymax  .

For the Circular Shaft (Z) = I/y = ( ? D4/64)/D/2   =(  D3/32)

For the Hollow Shaft (Z) = I/y = {?  (D4 - d4)/64}/D/2   =( ? /32)( D4  - d4)/D
For the Rectangular section (Z) = I/y = (bd3/12)/d/2 =bd2/6

Section modulus represents strength of the section of the beam.

As; M =  σ .I/y =   .Z

Stress at outer fiber will be highest. That is,

M =   max.(I/ymax) =   max.Z

Posted Date: 10/20/2012 8:06:47 AM | Location : United States

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