Answer to Question #162795 in Mechanical Engineering for Edidiong Chris

Question

A tie bar on a vertical pressing machine is 200cm long and 75mm square in cross section. Determine the stress and extension produced in the bar when it is subjected to an axial load of 250kN. Take E=2.1*10^5N/mm²

Answer 1

E = stress / strain

Let F, L, A, ∆l be the force, length, area of cross section, and extension or respectively,

E = FL / A∆l

Stress = F x L = 250 000 N x 0.2 m = 50 000 N/m = 50 kN/m

∆l = FL / AE = (50 000 N/m) / (75 x 10^-3 m)²(2.1x10¹¹ N/m²) = 4.2x10^-5 m = 0.042 mm