A 14-ft-long simply supported timber beam carries a P = 12.5-kip concentrated load at midspan as shown. The cross-sectional dimensions of the timber are also shown. At section a-a, determine the magnitude of the shear stress in the beam at point H. P 3 in. H 15 in. a B K 3 ft 1 in. 7 ft 7 ft 6 in.

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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.