Solution Found!
The composite beam consists of a wood core and two plates
Chapter 6, Problem 6-186(choose chapter or problem)
The composite beam consists of a wood core and two plates of steel. If the allowable bending stress for the wood is \(\left(\sigma_{\text {allow }}\right)_{\mathrm{w}}=20 \ \mathrm{MPa}\), and for the steel \(\left(\sigma_{\text {allow }}\right)_{\mathrm{st}}=130 \ \mathrm{MPa}\), determine the maximum moment that can be applied to the beam. \(E_{\mathrm{w}}=11 \ \mathrm{GPa}, E_{\mathrm{st}}=200 \ \mathrm{GPa}\).
Questions & Answers
QUESTION:
The composite beam consists of a wood core and two plates of steel. If the allowable bending stress for the wood is \(\left(\sigma_{\text {allow }}\right)_{\mathrm{w}}=20 \ \mathrm{MPa}\), and for the steel \(\left(\sigma_{\text {allow }}\right)_{\mathrm{st}}=130 \ \mathrm{MPa}\), determine the maximum moment that can be applied to the beam. \(E_{\mathrm{w}}=11 \ \mathrm{GPa}, E_{\mathrm{st}}=200 \ \mathrm{GPa}\).
Step 1 of 3
The allowable bending stress for steel is given as, \({\left( {{\sigma _{st}}} \right)_{allow}} = 130 \times {10^6}\;{\rm{Pa}}\).
The diagram is,
The transformed section is shown in the figure as,
