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At a point in a stressed body, the principal stresses are 100 MN/m2 (tensile) and 60 MN/m2 (compressive)....

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Mechanical Engineering

At a point in a stressed body, the principal stressesare 100 MN/m2
(tensile) and 60 MN/m2
(compressive). Determine the normal stress and
the shear stress on a plane inclined at 50degree
counter clockwise to the axis
of minor principal stress. Also, calculate the maximum shear stressat the
point and draw the Mohr’s stress circle to verify theanswers.
If the yield strength and Poisson’s ratio of the material in theabove case
is 240 MPa and 0.3 respectively, check whether the failure willoccur or
not according to (a) Maximum principal strain theory and (b)Maximum
shear strain energy per unit volume theory. If failure does notoccur,
calculate the Factor of Safety.

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