Question

A material with a rectangular cross-section of 5 mm by 20 mm is loaded in tension with a force of 20 kN. A strain gauge bonded to the material measures a strain of 800 microstrain when the sample is loaded. Calculate Young's modulus of the material, measured to the nearest GPa (GN/m?) and enter your answer in the box below.

Answer 1

Young's modulus of the material is 1,000 GPa.

Young's modulus can be calculated using the equation Y = ΔL / (L x ε), where Y is Young's modulus, ΔL is the change in length, L is the original length, and ε is the strain. In this case, the strain is given as 800 microstrain, which can be converted to 0.0008.

The original length is the length of the rectangular cross-section, which is 20 mm. The change in length can be calculated using the equation ΔL = ε x L, which gives a change in length of 0.016 mm.

Substituting these values into the equation for Young's modulus gives Y = 0.016 mm / (20 mm x 0.0008) = 1,000 GPa . Therefore, the Young's modulus of the material is 1,000 GPa.