Section modulus and value of bending moment, Mechanical Engineering

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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


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