Question

A steel bar 110 mm long and having a square cross section 22 mm on an edge is pulled in tension with a load of 89,000 N, and experiences an elongation of 0.10 mm. Assuming that the deformation is entirely elastic, calculate the elastic modulus of the steel.

Answer 1

Elastic modulus of steel = 202.27 GPa

Step-by-step explanation:

given data

long = 110 mm = 0.11 m

cross section 22 mm = 0.022 m

load = 89,000 N

elongation = 0.10 mm = 1 ×
`10^(-4)` m

solution

we know that Elastic modulus is express as

Elastic modulus =
`(stress)/(strain)` ................1

here stress is

Stress =
`(Force)/(area)` .................2

Area = (0.022)²

and

Strain =
`(extension)/(length)` .............3

so here put value in equation 1 we get

Elastic modulus =
`(89,000* 0.11)/(0.022^2 * 1 * 10^(-4) )`

Elastic modulus of steel = 202.27 ×
`10^9` Pa

Elastic modulus of steel = 202.27 GPa