A homogeneous, 5-ft-wide, 8-ft-long rectangular gate weighing 900 lb is held in place by a horizontal flexible cable as shown in the figure. Water acts against the gate, which is hinged at point A. Friction in the hinge is negligible. Determine the tension in the cable in lb.

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Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.