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Find maximum bending stress produced in beam of rectangular cross section 50mm x 150mm, when bending moment of 600 Nm is applied at x-x axis.
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written 6.1 years ago by
teamques10
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$M = 600\hspace{0.05cm}Nm = 600\hspace{0.05cm}\times\hspace{0.05cm}10^3\hspace{0.05cm}Nmm\\ y = \frac{150}{2} = 75\hspace{0.05cm}mm\\ I = \frac{bd^3}{12} = \frac{50\hspace{0.05cm}\times\hspace{0.05cm}150^3}{12} = 14.06\hspace{0.05cm}\times\hspace{0.05cm}10^6\hspace{0.05cm}mm^4$
$\frac{M}{I} = \frac{\sigma_b}{y}$ $\frac{600\hspace{0.05cm}\times\hspace{0.05cm}10^3}{14.06\hspace{0.05cm}\times\hspace{0.05cm}10^6} = \frac{\sigma_b}{75}$
$\sigma_b = 3.20\hspace{0.05cm}N/mm^2$
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