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The composite beam is made of steel ( A ) bonded to brass
Chapter 6, Problem 6-120(choose chapter or problem)
The composite beam is made of steel ( A ) bonded to brass ( B ) and has the cross section shown. If it is subjected to a moment of \(M=6.5 \ \mathrm{kN} \cdot \mathrm{m}\), determine the maximum bending stress in the brass and steel. Also, what is the stress in each material at the seam where they are bonded together? \(E_{\mathrm{br}}=100 \ \mathrm{GPa}, E_{\mathrm{st}}=200 \ \mathrm{GPa}\).
Questions & Answers
QUESTION:
The composite beam is made of steel ( A ) bonded to brass ( B ) and has the cross section shown. If it is subjected to a moment of \(M=6.5 \ \mathrm{kN} \cdot \mathrm{m}\), determine the maximum bending stress in the brass and steel. Also, what is the stress in each material at the seam where they are bonded together? \(E_{\mathrm{br}}=100 \ \mathrm{GPa}, E_{\mathrm{st}}=200 \ \mathrm{GPa}\).
ANSWER:
Steel Stress:
?max = M / (0.5 x A)
?max = 6.5 kN # m / (0.5 x 12.5 x 10^-6 m^2)
?max = 104 MPa
Brass Stress:
?max = M /