Please give me some guidance on this problem. I can attach the figure if it will help.(adsbygoogle = window.adsbygoogle || []).push({});

The assembly shown in the figure consists of an aluminum tube AB having a cross sectional area of 400mm2. A steel rod having a diameter of 10 mm is attached to a rigid collar and passes through the tube. If a tensile load of 80 kN is applied to the rod, determine the displacement of the end C of the rod. Take Est = 200 GPa, Eal = 70 GPa. [ΔL = 4.20 mm]

Here is what I have so far:

[tex] E_al = \frac{\sigma}{\epsilon} [/tex]

[tex] 70GPa = \frac{\frac{Force}{Area}}{\frac{\delta_length}{length_0}} [/tex]

[tex] 70GPa = \frac{\frac{80KN}{.0004m^2}}{\frac{\delta_length}{.4m}} [/tex]

[tex] \delta_length = \left[ \frac{80KN}{.0004m^2} \right] .4m [/tex]

[tex] \delta_length = 1.1428m[/tex]

The displacement is already to large for the given answer. This does not yet include the displacement of the steel bar.

I attached the image that was provided with the homework problem.

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# Axial displacement

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