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Fig. shows an element in a stressed body. Determine normal, tangential and resultant stresses on a plane Q-Q inclined as shown.

Fig. shows an element in a stressed body. Determine normal, tangential and resultant stresses on a plane Q-Q inclined as shown. Either use analytical method or graphical method 1

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Analytical Method 1 2

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Data:

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$P_1 = 140 \ Mpa$ (tensile)

$P_2 = 80 \ Mpa$ (tensile)

$\theta = 30°$ with the maximum principal plane.

A] Normal stress $\sigma_n / Pn$ :

$\sigma_n = \frac{P_1 + P_2}{2} + [\frac{P_1 – P_2}{2}] \ cos \ 2 \ \theta$

$= \frac{140 + 80}{2} + (\frac{140 – …

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