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A shaft of diameter 8cm is subjected to a bending moment of 3000 N m and a twisting moment of 4000 Nm. The maximum normal stress induced in the shaft is equal to

(a)$\frac{250}{\pi }MPa$                  (b)$\frac{500}{\pi }MPa$

(c)$\frac{157.5}{\pi }MPa$                (d)$\frac{315}{\pi }MPa$

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