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A rectangular block is loaded as shown in the figure. Find the change in dimension and also the change in volume.

Take Poisson’s ratio as 0.3 and E as 210 GPa. AB = 500mm, BC = 200mm and AE = 400mm. -

enter image description here

Mumbai university > MECH > SEM 3 > Strength Of Materials

Marks: 10M

Year: June 2014

1 Answer
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enter image description here

$L(AB) = 500mm \ \ \ L(BC) = 200mm$

$L(AE) = 400mm \ \ \ E = 210GPa$

Poisson’s Ratio = $\frac{1}{m} = 0.3$

Stress in the x – direction

$σ_x = \frac{Force}{C/SArea} = \frac{1000 × 10^3}{200 × 400} = 12.5N/mm^2 (Tensile)$

Stress in the y – direction

$σ_y = …

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