9.3 The stress-strain graphs for materials A and B are shown in Fig. 9.12.
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?
(a) Young’s modulus is greater for that material which has greater stress for a given strain.
Young’s modulus =
The material A has a greater strain than that for material B for a given strain as it is shown in the two graphs.
Therefore, Young’s modulus for material A is greater than that for material B.
(b) The strength of the material is the amount of stress required for fracturing a material, corresponding to its fracture point. Fracture point is the extreme point in a stress-strain curve. The material A can withstand more strain than material B before the fracture point.
Hence, material A is stronger than material B.
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