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Solution: The 2014-T6 aluminum rod AC is reinforced with the
Chapter 4, Problem 4-54(choose chapter or problem)
The 2014-T6 aluminum rod \(AC\) is reinforced with the firmly bonded A992 steel tube \(BC\). When no load is applied to the assembly, the gap between end \(C\) and the rigid support is 0.5 mm. Determine the support reactions when the axial force of 400 kN is applied.
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QUESTION:
The 2014-T6 aluminum rod \(AC\) is reinforced with the firmly bonded A992 steel tube \(BC\). When no load is applied to the assembly, the gap between end \(C\) and the rigid support is 0.5 mm. Determine the support reactions when the axial force of 400 kN is applied.
ANSWER:
Step 1 of 5
Draw the free-body diagram of the system:
Apply equation of equilibrium along y-direction:
\(\Sigma {F_y} = 0\)
\({F_D} + {\left( {{F_C}} \right)_{al}} + {\left( {{F_C}} \right)_{st}} - P = 0\;\;\;\;\;\;...\;\left( 1 \right)\)
Here, force acting at point D is \({F_D}\), force acting on the aluminum rod is \({\left( {{F_C}} \right)_{al}}\), force acting on the steel tube is \({\left( {{F_C}} \right)_{st}}\), and the axial force acting on the system is P.
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