## Related questions with answers

Five metal strips, each of $0.5 \times 1.5-\text{in.}$ cross section, are bonded together to form the composite beam shown. The modulus of elasticity is $30 \times 10^6$ psi for the steel, $15 \times 10^6 \mathrm{psi}$ for the brass, and $10 \times 10^6\ \mathrm{psi}$ for the aluminum. Knowing that the beam is bent about a horizontal axis by a couple of moment $12\ \text{kip.in}$ determine (a) the maximum stress in each of the three metals, (b) the radius of curvature of the composite beam.

Solution

VerifiedFigure P11.48 shows the cross-section of the aluminum, brass, and steel bonded together. Considering the bar is bent about a horizontal axis by a couple of moment of $12\, \ \text{kip-in}$. The problem requires determining (a) stress in each f the three metals, (b) the radius of curvature of the composite beam considering the following data given below;

$E_s=30\times10^6\, \ \text{psi}$ $E_b=15\times10^6\, \ \text{psi}$ $E_a=10\times10^6\, \ \text{psi}$

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