Question

The assembly shown in the figure consists of a brass core (diameter $d_{1}=0.25$ in.) surrounded by a steel shell (inner diameter $d_{2}=0.28$ in., outer diameter $d_{3}=0.35$ in. $.$ A load $P$ compresses the core and shell that both have a length $L=4.0$ in. The moduli of elasticity of the brass and steel are $E_{b}=15 \times 10^{6} \mathrm{psi}$ and $E_{s}=30 \times 10^{6}$ psi, respectively. (a) What load $P$ will compress the assembly by 0.003 in.? (b) If the allowable stress in the steel is 22 ksi and the allowable stress in the brass is $16 \mathrm{ksi}$, what is the allowable compressive load $P_{\text {allow }} ?($ Suggestion: Use the equations derived in Example $2-8 .$

          The assembly shown in the figure consists of a brass core (diameter $d_{1}=0.25$ in.) surrounded by a steel shell (inner diameter $d_{2}=0.28$ in., outer diameter $d_{3}=0.35$ in. $.$ A load $P$ compresses the core and shell that both have a length $L=4.0$ in. The moduli of elasticity of the brass and steel are $E_{b}=15 \times 10^{6} \mathrm{psi}$ and $E_{s}=30 \times 10^{6}$ psi, respectively.
(a) What load $P$ will compress the assembly by 0.003 in.?
(b) If the allowable stress in the steel is 22 ksi and the allowable stress in the brass is $16 \mathrm{ksi}$, what is the allowable compressive load $P_{\text {allow }} ?($ Suggestion:
Use the equations derived in Example $2-8 .$

Added by Brian J.

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