Question

The minimum diameter of a mass less brass rod ,if it is to support a 400N load without exceeding its elastic limit is 1mm. the elastic limit of brass is---

Answer 1

Given :

Load on the brass rod = 400N

Minimum diameter of the brass rod = 1 mm

To Find :

The elastic limit of the brass = ?

Solution :

• The stress on the brass rod is given by the formula

            $Stress = \frac{Force}{Area} = \frac{F}{A}$

• By substituting the values in the given above relation, we get

            $Stress = \frac{400}{\frac{\pi d^{2} }{4} }$

            $Stress = \frac{400\times4}{\pi \times10^{-6} }$

            $Stress = 509.29 Mpa$

The elastic limit of the brass rod is 509.29 Mpa.