12-97. The wide-flange beam acts as a cantilever. Due to an error it is installed at an angle u with the vertical. Determine the ratio of its deflection in the x direction to its deflection in the y direction at A when a load P is applied at this point. The moments of inertia are Ix and Iy. For the solution, resolve P into components and use the method of superposition. Note: The result indicates that large lateral deflections ( x direction) can occur in narrow beams, IyVIx, when they are improperly installed in this manner. To show this numerically, compute the deflections in the x and y directions for an A992 steel W10 * 15, with P = 1.5 kip, u = 10!, and L = 12 ft. | |
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