Question

Assume that Young’s modulus for a new material is known to be 2.25 × 1011 ?/?2 . The material breaks when it is subjected to a stress greater than 2.1 × 107 ?/?2 . What is the maximum force that can be applied to the material if the sample being tested has a diameter of 50.5 mm?

Answer 1

Young's modulus of the material = E = 2.25 x 10¹¹ N/m²

Maximum stress the material can handle = = 2.1 x 10⁷ N/m²

Maximum force that can be applied on the material = F_max

Diameter of the sample being tested = D = 50.5 mm = 50.5 x 10^-3 m²

Cross-sectional area of the sample being tested = A = D²/4

F_max = 4.21 x 10⁴ N

Maximum force that can be applied on the material = 4.21 x 10⁴ N