Question

A Steel wire having cross-section area 2mm2 is stretched by 10N. find lateral strain product in wire. ​

Answer 1

Given: A = 2 mm2 = 2 x 10–6 m2

F = 10 N

Ysteel = 2 x 1011 N/m2

δ = 0.29

To find: Lateral strain

Formula:

1) Y = longitudinalstress/longitudinalstrain

2) δ = lateralstrain/longitudinalstrain

Calculation: Longitudinal stress = `F/A`

`= 10/(2xx10^(-6))`

= 5 x 106 N/m2

Using formula i.,

longitudinal strain = longitudinalstress/Y

`= (5 xx 10^6)/(2xx10^11)`

= 2.5 x 10–5

Using formula ii,

lateral strain = δ x longitudinal strain

= 0.29 x 2.5 x 10–5

lateral strain = 7.25 x 10–6

Lateral strain produced in the wire is 7.25 x 10–6.