A beam of metal supported at the two ends is loaded at the centre. The depression at the centre is proportional to [CPMT 1983, 84]A) {{Y}^{2}} B) Y C) 1/Y D) 1/{{Y}^{2}}

A beam of metal supported at the two ends is loaded at the centre. The

1.	A beam of metal supported at the two ends is loaded at the centre. The depression at the centre is proportional to [CPMT 1983, 84]A) {{Y}^{2}} B) Y C) 1/Y D) 1/{{Y}^{2}}
Answer» Depression in the beam is given by δ = WL³/4Ybd³ Where W is weight , L is length , b is BREADTH, Y is Young's MODULUS and d is depth also δ is depression in the beam. Here it is clear that , Depression in the beam is INVERSELY proportional to Young's modulus. e.g., δ $\propto$ 1/Y Hence option (C) is correct.

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A beam of metal supported at the two ends is loaded at the centre. The depression at the centre is proportional to [CPMT 1983, 84]A) {{Y}^{2}} B) Y C) 1/Y D) 1/{{Y}^{2}}

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