Homework #3
Problem 8.3
The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the loading shown in the figure. The cross-sectional areas of sections AB, BC, and CD are $A_{AB} = 0.06 \text{ in}^2$, $A_{BC} = 0.15 \text{ in}^2$, and $A_{CD} = 0.09 \text{ in}^2$, respectively. The moduli of elasticity for each section are shown in the figure. (Figure 1)
Figure
Aluminum
$E_{Al} = 10 \times 10^3 \text{ ksi}$
Copper
$E_{Cu} = 18 \times 10^3 \text{ ksi}$
Steel
$E_{St} = 29 \times 10^3 \text{ ksi}$
Part A
Determine the normal stress in section AB.
Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension.
$\sigma_{AB} = $ [Value] [Units]
Part B
Determine the normal stress in section BC.
Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension.
$\sigma_{BC} = $ [Value] [Units]
Part C
Determine the normal stress in section CD.
Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension.
$\sigma_{CD} = $ [Value] [Units]
Part D
Determine the displacement of end A with respect to end D.
Express your answer to three significant figures and include the appropriate units.
$\delta_{AD} = $ [Value] [Units]
