A wooden beam is fabricated from three boards, which are fastened together with screws as shown. The screws are uniformly spaced along the span of the beam at intervals of 160 mm. In service, the beam will be positioned so that bending occurs about the z axis. The centroid is 70.4 mm above the bottom surface of the beam, and the moment of inertia about the z axis is 59,383,467 mm. The maximum bending moment in the beam is M, = 4.50 kN-m, and the maximum shear force in the beam is Vy= 2.06 kN. Determine the shear force in each screw.

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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.