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Solved: The rigid bar is pinned at A and supported by two
Chapter 4, Problem 4-50(choose chapter or problem)
The rigid bar is pinned at A and supported by two aluminum rods, each having a diameter of 1 in. a modulus of elasticity \(E_{\mathrm{al}}=10\left(10^{3}\right) \mathrm{ksi}\), and yield stress of \(\left(\sigma_{Y}\right)_{\mathrm{al}}=40 \mathrm{ksi}\). If the bar is initially vertical, determine the angle of tilt of the bar when the 20-kip load is applied.
Questions & Answers
QUESTION:
The rigid bar is pinned at A and supported by two aluminum rods, each having a diameter of 1 in. a modulus of elasticity \(E_{\mathrm{al}}=10\left(10^{3}\right) \mathrm{ksi}\), and yield stress of \(\left(\sigma_{Y}\right)_{\mathrm{al}}=40 \mathrm{ksi}\). If the bar is initially vertical, determine the angle of tilt of the bar when the 20-kip load is applied.
ANSWER:
Step 1 of 6
For determining the angle of tilt of the bar first we need to find out the displacement for point B.
Take the equilibrium equation around the 
Next taking the momentum equilibrium around A with counterclockwise positive :
So the second equation we found is :
