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 130 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 mm4. The maximum bending moment in the beam is Mz = 4.50 kN-m, and the maximum shear force in the beam is Vy = 2.39 kN. Determine the shear force in each screw. 606 N 444 N 738 N 553 N 668 N

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Q: 1.3.5

A: Solution:

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Moments

There are various practical applications of the concept of moments, like a rotation of the crank due to linear motion of the piston, the moment of inertia and its use in designing beams and columns, bending moment concept, torque, twisting moment, etc.