Consider a bar of length L built-in at x = L and subjected
to a constant body force b(x) = bo....

Question

Consider a bar of length L built-in at x = L and subjected
to a constant body force b(x) = bo. Derive an expression for the
cross-sectional area of the bar, A(x), such that the stress in the bar is a
constant (i.e. not a function of x). Assume E to be a constant. You may assume
that area at x = L is given; i.e. assume A(L) is given data

Jayaraj · Accepted Answer

Solution:
The above figure shows, a bar is subjected to uniform body forces along the length of bar with uniform 
distribution of body force b(x)=bo 
Also consider an element of thickness dx at distance of x from free end of bar. 
Consider FB of bar as shown in fig 
As we know, when an element is in static equilibrium, 
∑ ?

Consider a bar of length L built-in at x = L and subjected to a constant body force b(x) = bo. Derive an expression for the cross-sectional area of the bar, A(x), such that the stress in the bar is a...

Solution

Answer To This Question Is Available To Download

Related Questions & Answers

Submit New Assignment