Question

A prismatic steel rod of length L and cross-
sectional area A hangs vertically under its
own weight. If the weight per unit volume of
the bar is W then the strain stored in the bar
would be

​

Answer 1

Explanation:

yyy tygggy the associated press

by some kitarah

Answer 2

Answer:

mark me brainlest

Explanation:

When a prismatic bar is hanging and subjected to self-weight then there is elongation in the beam due to the uniformly varying load i.e. weight of the beam.

Let the weight per unit volume of the bar is given by “=W/AL where W is the weight of the prismatic bar and A is the area of cross section and the initial length is L. The deflection of any element of the bar is given by the deflection due to the external surface force acting on that particular section and the load due to the uniformly varying weight above it.

CASE:1 DEFLECTION AT THE FREE END OF THE PRISMATIC BAR

The free end of the prismatic bar is not subjected to any surface force and only body force i.e. the uniform varying weight is acting on it, so we consider a thin strip of thickness dx at a distance x and integrate to get the result.

1

2

4

CASE:2  DEFLECTION AT MIDPOINT OF THE PRISMATIC BAR

If we consider the midsection  of the prismatic bar than it can be made equivalent to a bar of length L/2 where a external surface load is acting W/2 then we take a section from the midpoint and integrate for the body force to get the result.

3