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 bar is deflected downwards at the point A and deflected leftwards at the point D.

Because each rod is connected to rigid bar $ABCD$ , the deformations in rods $(1)$ and $(2)$ are not independent.

The geometry of the deflected structure will be used to establish the relationship between the elongation in rod $(1)$ and the contraction in rod $(2)$ .

The geometric relationship will provide information that is needed to solve the problem.