Question

In a UTM experiment, a sample of length 100 mm was loaded in tension until failure. The failure load was 40 kN. The displacement, measured using the cross-head motion, at failure was 15 mm. The compliance of the UTM is constant and is given by:

a. 0.4 mm/kN
b. 2.67 mm/kN
c. 0.6 mm/kN
d. 1.5 mm/kN

Answer 1

The compliance of a UTM is given by dividing the displacement at failure by the failure load. For a sample whose failure load is 40 kN and displacement at failure is 15 mm, the compliance is calculated as 0.375 mm/kN.

Step-by-step explanation:

The question asks to determine the compliance of a Universal Testing Machine (UTM) based on a given sample length, failure load, and displacement at failure. Compliance is the ratio of displacement to force and is crucial for understanding the elastic properties of materials tested with a UTM. In this experiment, a sample of length 100 mm was loaded in tension until failure occurred at a load of 40 kN, and the cross-head displacement at failure was 15 mm. The compliance, which is defined as displacement per unit of force, would be calculated by dividing the displacement at failure by the failure load. The value obtained will allow us to select the correct option given.

To calculate compliance: Compliance = Displacement at failure / Failure load = 15 mm / 40 kN = 0.375 mm/kN. This value must then be matched with the options provided, considering that the compliance of the UTM given in the options may be an approximate or rounded value.