A steel plate d × b is sandwiched rigidly between two timber joists each D × B/2 in section. The moment of resistance of the beam for the same maximum permissible stress $$\sigma $$ in timber and steel will be (where Young's modulus of steel is m times that of the timber).

A steel plate d × b is sandwiched rigidly between two timber joists each D × B/2 in section. The moment of resistance of the beam for the same maximum permissible stress $$\sigma $$ in timber and steel will be (where Young's modulus of steel is m times that of the timber). Correct Answer $$\sigma \left( {\frac{{{\text{B}}{{\text{D}}^3} + {\text{mb}}{{\text{d}}^3}}}{{6{\text{D}}}}} \right)$$

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