Find out the maximum bending stress in beam, Mechanical Engineering

Q. A rectangular beam of 200 mm in breadth and 400 mm in depth is simply supported over span of 4m  and carries distributed load of 10 KN/m. Find out the maximum bending stress in beam.

Sol.:
635_bending stress.png
Given data:

b = 200 mm = 0.2 m

d = 400 mm = 0.4 m

L = 4 m

W = 10KN/m
σmax=?
We know σmax/y = M/I; σmax

= y.M/I

Here;

y = d/2 = 0.2 m

M = WL2/8 = (10 × 103 × 42)/8 = 20000 Nm

I =  bd3/12 = (0.2 × 0.43)/12 = 0.001066 m4
Putting all values we get;

σmax = (0.2 × 20000)/0.001066 = 3750000 N/m2

=  3.75MPa .......ANS 

Posted Date: 10/20/2012 8:26:04 AM | Location : United States







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