Solution Found!
The specimen shown has been cut from a 1/4-in.-thick sheet
Chapter 2, Problem 2.17(choose chapter or problem)
The specimen shown has been cut from a \(\frac{1}{4}-\mathrm{in} .\)-thick sheet of vinyl \(\left(E=0.45 \times 10^{6} \mathrm{psi}\right)\) and is subjected to a 350-lb tensile load. Determine (a) the total deformation of the specimen, (b) the deformation of its central portion BC.
Questions & Answers
QUESTION:
The specimen shown has been cut from a \(\frac{1}{4}-\mathrm{in} .\)-thick sheet of vinyl \(\left(E=0.45 \times 10^{6} \mathrm{psi}\right)\) and is subjected to a 350-lb tensile load. Determine (a) the total deformation of the specimen, (b) the deformation of its central portion BC.
ANSWER:
Step 1 of 3
Deformation of specimen AB.
\(\delta_{A B}=\frac{P L_{A B}}{E A_{A B}}=\frac{(350 \mathrm{lb})(1.6 \mathrm{in.})}{\left(0.45 \times 10^{6} \mathrm{psi}\right)(1 \mathrm{in.})(0.25 \mathrm{in.})}=4.9778 \times 10^{-3} \mathrm{in}\)
Deformation of specimen BC.
\(\delta_{B C}=\frac{P L_{B C}}{E A_{B C}}=\frac{(350 \mathrm{lb})(2 \mathrm{in.})}{\left(0.45 \times 10^{6} \mathrm{psi}\right)(0.4 \mathrm{in.})(0.25 \mathrm{in.})}=15.5556 \times 10^{-3} \mathrm{in}\)