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A single axial load of magnitude P = 15 kips is applied at
Chapter 2, Problem 2.15(choose chapter or problem)
A single axial load of magnitude P = 15 kips is applied at end C of the steel rod ABC. Knowing that \(E=30 \times 10^{6}\) psi, determine the diameter d of portion BC for which the deflection of point C will be 0.05 in.
Questions & Answers
QUESTION:
A single axial load of magnitude P = 15 kips is applied at end C of the steel rod ABC. Knowing that \(E=30 \times 10^{6}\) psi, determine the diameter d of portion BC for which the deflection of point C will be 0.05 in.
ANSWER:
Step 1 of 2
Deflection at point \(C is determined by the below formula.
\(\delta_{C}=\sum \frac{P L_{i}}{A_{i} E_{i}}=\left(\frac{P L}{A E}\right)_{A B}+\left(\frac{P L}{A E}\right)_{B C}\)
\(L_{A B}=4 \mathrm{ft}=48 \mathrm{in}\)
\(L_{B C}=3 \mathrm{ft}=36 \mathrm{in}\)
\(A_{A B}=\frac{\pi d^{2}}{4}=\frac{\pi(1.25 \mathrm{in.})^{2}}{4}=1.22718 \mathrm{in}^{2}\)