Question

The elastic limit of brass is 379MPa. What should be the Minimum diameter of a brass rod if it is to support a 400N load without exceeding its elastic limit ?

a) 1.16 mm
b) 0.90 mm
c) 1.36 mm
d) 1.00 mm

Answer 1

To determine the minimum diameter of the brass rod that can support a 400N load without exceeding its elastic limit, we need to calculate the stress on the rod and compare it to the elastic limit of brass. The minimum diameter of the brass rod should be approximately 0.90 mm.

Step-by-step explanation:

To determine the minimum diameter of the brass rod that can support a 400N load without exceeding its elastic limit, we need to calculate the stress on the rod and compare it to the elastic limit of brass.

Stress is defined as force divided by area, so we can calculate the stress using the formula:

Stress = Force / Area

Given that the elastic limit of brass is 379MPa and the load is 400N, we can rearrange the formula to solve for the minimum diameter:

Diameter = sqrt(4 × Force / (pi × Stress))

Plugging in the values, we get:

Diameter = sqrt(4 × 400 / (pi × 379 × 10^6))

Calculating this, we find that the minimum diameter of the brass rod should be approximately 0.90 mm.