The sag developed in a bar of length ' 1 ', breath 'b' and thickness ' $\mathrm{d}$ ' when subjected to a…

The sag developed in a bar of length ' 1 ', breath 'b' and thickness ' $\mathrm{d}$ ' when subjected to a load of ' $w$ ' at center is (Y - Young's modulus of the material of the bar)
  1. $\frac{w^2 l^2}{4 b d^2 Y}$
  2. $\frac{w^3}{b d^2 Y}$
  3. $\frac{w l^3}{4 b d^3 Y}$
  4. None of the above

Solution

The sag developed in the bar when load is subjected at the centre of the bar is given by: $S=\frac{W l^3}{4 b d^3 \lambda}$

Asked in: AP EAMCET 2023 (18 May Shift 1)

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