Question

A steel cable 10 m long is pulled in tension with a stress of 350 MPa. Assume that the Young's modulus of the steel cable is about 200 GPa. If only elastic deformation occurs, what is the resultant elongation in cm?

Answer 1

L=10 cm,
E= 200 GPa=200•10⁹ Pa
σ=F/A =350 MPa =350•10⁶ Pa
ε= ΔL/L
Hook's law E=
σ=E•ε=E•ΔL/L,
ΔL= σ•L/ E =350•10⁶•10/200•10⁹ =0.0175 cm

Answer 2

1.75 cm that is the correct one