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Question
The stress-strain graphs for materials A and B are shown in Fig. 9.12. The graphs are drawn to the same scale. (a) Which of the materials has the greater Young’s modulus? (b) Which of the two is the stronger material?
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Solution
The graph of the stress strain curve for materials A and B are shown in the figure below,
(a)
Young’s modulus is given by the equation,
Y = stress strain
At a particular strain, Young’s modulus is directly proportional to the stress.
The stress strain curve for material A has greater stress at particular strain. Therefore, the material A has greater Young’s modulus than the material B.
(b)
The strength of the material depends upon the stress at the fracture point or the rupture point. The fracture strength of material A is more than that of B. Hence, material A is stronger.
The graph of the stress strain curve for materials A and B are shown in the figure below,
(a)
Young’s modulus is given by the equation,
At a particular strain, Young’s modulus is directly proportional to the stress.
The stress strain curve for material A has greater stress at particular strain. Therefore, the material A has greater Young’s modulus than the material B.
(b)
The strength of the material depends upon the stress at the fracture point or the rupture point. The fracture strength of material A is more than that of B. Hence, material A is stronger.
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