Question

The "L" shaped frame ABC shown in Fig. P. 14.74 is fixed at $C$ and carries a vertical load $P=100 \mathrm{lb}$ at point $C$. The length of $B C$ is 6 in., and the length of $A B$ is 8 in. Both are prismatic, square beams of identical cross section and linear elastic material. Determine the dimension 6 of the cross section so that vertical displacement at point $C$ is Xin. Take $E$ $=30 \times 10^6$ psi and $v=0.33$. Do not include shear deforma. tion. Use energy method.

   The "L" shaped frame ABC shown in Fig. P. 14.74 is fixed at $C$ and carries a vertical load $P=100 \mathrm{lb}$ at point $C$. The length of $B C$ is 6 in., and the length of $A B$ is 8 in. Both are prismatic, square beams of identical cross section and linear elastic material. Determine the dimension 6 of the cross section so that vertical displacement at point $C$ is Xin. Take $E$ $=30 \times 10^6$ psi and $v=0.33$. Do not include shear deforma. tion. Use energy method.

Introduction to Solid Mechanics

Irving H. Shames,… 3rd Edition

Chapter 13, Problem 74

Instant Answer

Step 1

The frame consists of two beams, AB and BC, with lengths of 8 in. and 6 in., respectively. A vertical load $ P = 100 \, \text{lb} $ is applied at point $ C $. Show more…

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The "L" shaped frame ABC shown in Fig. P. 14.74 is fixed at $C$ and carries a vertical load $P=100 \mathrm{lb}$ at point $C$. The length of $B C$ is 6 in., and the length of $A B$ is 8 in. Both are prismatic, square beams of identical cross section and linear elastic material. Determine the dimension 6 of the cross section so that vertical displacement at point $C$ is Xin. Take $E$ $=30 \times 10^6$ psi and $v=0.33$. Do not include shear deforma. tion. Use energy method.

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