Answer to Question #180342 in Mechanical Engineering for rehsn

Question

A cooper rod of 3mm diameter when subjected to a pull of 495N extends by 0.07mm over a gauge length of 100mm. Calculate Young's modulus for copper

Answer 1

Young’s modulus = Stress/Strain

Stress = Load /Area of cross section

Area of cross section = πd²/4 = π(3 mm)²/4 = 7.065 mm²

Stress = 495 N / 7.065 mm² = 70.06 N/mm²

Strain = Stretch / gauge length = 0.07 mm / 100 mm = 0.0007

Young’s modulus = Stress/Strain = 70.06 N/mm² / 0.0007 = 100 kN/mm²