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A brass rod is to support  of a load of 400N. Its elastic limit is 4 × 10^8  N/ m2 its minimum  diameter  must be

Ans 1.13mm

1 Answer

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answered by (7k points)

Elastic limit is maximum stress or force per unit area within a solid material that can arise before the onset of permanent deformation.

Stress = F/A = 4 × 108 N/ m2
F = 400N
A = πr2 = πD2/4
So,
4 × 108 N/ m2 = 400N/(πD2/4)
D2 = 400 x 4 / 3.14 x 4 × 108 
D2 = 1.27 x 10-6 
D = 1.13 x 10-3​​​​​​​ m = 1.13 mm
 

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