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. $$\sigma \left( {\frac{{{\text{B}}{{\text{D}}^2} + {\text{mb}}{{\text{d}}^2}}}{{6{\text{D}}}}} \right)$$
B. $$\sigma \left( {\frac{{{\text{B}}{{\text{D}}^3} + {\text{mb}}{{\text{d}}^3}}}{{6{\text{D}}}}} \right)$$
C. $$\sigma \left( {\frac{{{\text{B}}{{\text{D}}^2} + {\text{mb}}{{\text{d}}^3}}}{{4{\text{D}}}}} \right)$$
D. $$\sigma \left( {\frac{{{\text{B}}{{\text{D}}^2} + {\text{mb}}{{\text{d}}^2}}}{{4{\text{D}}}}} \right)$$
Answer: Option B
This Question Belongs to Civil Engineering >> Theory Of Structures
Join The Discussion