Question

A steel rod 6mm in diameter is stretched with a tensile force of 400N. Calculate the tensile stress experienced by the steel rod

Answer 1

Tensile stress is 14.15 N/
`mm^(2)`

Step-by-step explanation:

When any object is subjected to an external force, the body offers a resisting force which is equal and opposite to the external load. This resisting force is called stress. Thus stress is defined as the force acting perpendicular to the given cross sectional area of the object.

Mathematically, stress , σ =
`(force )/(area)`

Given : Tensile force, F = 400 N

Diameter of the rod, d = 6 mm

Area of the rod is given by, A =
`(\pi )/(4)* d^(2)`

=
`(\pi )/(4)* 6^(2)`

=28.27
`mm^(2)`

Therefore, the tensile tress is, σ =
`(force )/(area)`

=
`(400 )/(28.27)`

= 14.149 N/
`mm^(2)`

`\simeq` 14.15 N/
`mm^(2)`

Thus, tensile stress experieced by the rod is 14.15 N/
`mm^(2)`