A structural steel rod has a radius of 10 ~mm and length of 1.0 ~m . A 100 kN force stretches it along its length. Young's modulus of structural steel is 2 10¹¹ Nm ⁻² . The percentage strain is about

Step-by-step solution

Given: F=100 kN =10^5 ~N aligned & Y =2 10¹¹ Nm ⁻² & ₀=1.0 ~m aligned radius r =10 ~mm =10⁻² ~m From formula, Y= Stress Strain Strain = Stress Y = F A Y aligned & = 10^5 r^2 Y = 10^5 3.14 10⁻⁴ 2 10¹¹ & = 1 628 aligned Therefore % strain = 1 628 100=0.16 %