Please show work A y16indiameter steel rod is tested in tens

Please show work.

A y/16-in.-diameter steel rod is tested in tension and elongates 0.00715 in. in a length of 8 in. under a tensile load of 6500 lb. Compute the stress, the strain, and the modulus of elasticity, E, based on this one reading. The proportional limit of this steel is 34,000 psi.

Solution

Stress = Force/Area = 6500/Area

Area = pi(d)^2 = pi*(9/16)^2/4 = 0.25 sqinches

a) Stress = 6500/0.25 = 26000 pound-force per square inch

b) Strain = delta(l)/L = 0.00715/8 = 0.00089375

c) Modulus of elasticity = Stess/Strain = 26000/0.00089375 = 29090909.09 (psi)