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A square element is subjected to Principal stresses as shown in fig. Find the intensity of normal stress on plane BD?

A square element is subjected to Principal stresses as shown in fig. Find the intensity of normal stress on plane BD?

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enter image description here

A] Normal stress σn/Pn : On plane BD.

From above figure, we get,

P1=100 Mpa (tensile) and θ=45°

P2=100 Mpa (Compressive).

\sigma_n = \frac{p_1 + p_2}{2} + (\frac{p_1 – p_2}{2}) \ cos \ 2 \theta

$= (\frac{100 – 100}{2}) = (\frac{100 …

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