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Question
If all the dimensions of a bar are increased in the proportion n : 1, the proportion with which the maximum stress produced in the prismatic bar by its own weight, will increase in the ratio:
A.
1 : n
B.
n : 1
C.
D.
1 : √n
Answer ( Option B)

n : 1

Solution

             
Let self weight of bar is W.
Maximum stress (σmax) produce will be at fixed end i.e. 
Where, ϒ is unit weight of material If all dimensions are increased in n:1 proportional then,

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