MecMovies 4.0 : M5.9: Right-angle Bar with Two Axial Mmembers

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The figure shows an L shaped rigid bar A B C D with a horizontal segment A B C of length 750 millimeters and a vertical segment C D of height 300 millimeters. The bar is pinned at C and supported by vertical and horizontal rods labeled 1 and 2 of length 600 millimeters and 150 millimeters at A and D respectively. The other end of the support rods is pinned. A load P which equals 80 kilo newtons directed vertically downwards acts at the point B which is 400 millimeters to the right of C. The parameters listed on the top left are A subscript 1 which equals 70 square millimeters, L subscript 1 which equals 600 square millimeters and E subscript 1 which equals 200 giga pascals. The parameters listed on the bottom right are A subscript 2 which equals 625 square millimeters, L subscript 2 which equals 150 millimeters and E subscript 2 which equals 100 giga pascals.

Rigid bar $ABCD$ is pinned at $C$ and supported by rods $(1)$ and $(2)$ at $A$ and $D$ , respectively.

Rod $(1)$ is aluminum and rod $(2)$ is bronze.

A concentrated load $P = 80 kN$ is applied to the rigid bar at $B$ .

Compute the normal stress in each rod and the downward deflection of the rigid bar at $A$ .