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natali 33 [55]
3 years ago
6

A cylindrical test specimen with a 15-mm diameter is tested axially in tension. A 0.58 mm elongation is recorded in a length of

200 mm when the load on the specimen is 36 kN. The material behaves elastically during testing. What material could the specimen be made of?a. Aluminumb. Magnesiumc. Polystyrened. Steel
Physics
1 answer:
Irina-Kira [14]3 years ago
6 0

Answer:

a. Aluminium

Explanation:

The strain of the specimen when tested

\epsilon = \frac{\Delta L}{L} = \frac{0.58}{200} = 0.0029

The area of the 15mm (0.015m) diameter specimen

A = \pi(d/2)^2 = \pi(0.015/2)^2 = 0.000177 m^2

So the stress when subjected to F = 36kN (36000 N) load is

\sigma = F/A = 36000 / 0.000177 = 203718327.2Pa

We can calculate the Young Modulus of the specimen

E = \sigma/\epsilon = 203718327.2/ 0.0029 = 70247699020 Pa = 70.25 GPa

This is Young Modulus of an Aluminium material

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