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The stress-strain graphs for materials A...

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?

Text Solution

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i) Young.s modulus= stress/strain = slope of the straight portion of the stress-strain graph. Since `tan theta_A gt tan theta_B` , slope of OP > slope of `OP^1` . Y for material-A > Y for material B.
ii) Strength of a material is determined by the highest point on the stress-strain curve. The stress corresponding to this point is called the ultimate strength `(S_u)`. Since this point(C) for material-B is higher than corresponding point`(C^1)` for material-A, `(S_u)_B gt (S_u)_A`. Hence, material B is stronger than material-A.
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