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At a given section a shaft is subjected to a bending stress of 20 MN/m2 and a shear stress of 40 MN/m2. Determine:
(a) the principal stresses;
(b) the directions of the principal planes;
(c) the maximum shear stress and the planes on which this acts;
(d) the tensile stress which, acting alone, would produce the same maximum shear stress;
(e) the shear stress which, acting alone, would produce the same maximum tensile principal stress.
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