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  4. A beam of metal supported at the two ends is loaded at the centre. The depression at the centre is proportional to

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Q. A beam of metal supported at the two ends is loaded at the centre. The depression at the centre is proportional to

NTA AbhyasNTA Abhyas 2020

Solution:

Solution
$\delta$ = Depression in the beam
$Y$ = Young's Modulus
$W$ = Load Applied
$L$ = Length of the beam
$b$ = width of the beam
$d$ = thickness of the beam
$\delta=\frac{WL^{3}}{4 Ybd^{3}}$
$\therefore \, \, \delta \propto \frac{1}{Y}$