Derive expressions shear force V, bending moment M and sag w for a weightless beam with built-in
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Derive expressions shear force V, bending moment M and sag w for a "weightless" beam with built-in ends of thickness h, breadth b and span L under a uniform load p. Plot the shear and moment diagrams. Use the sign convention that tension is positive, the x-axis is to the right, the z-axis down, the y-axis is out of the page, a ccw (counterclockwise) moment is positive and a downward shear force is positive as shown infigure.
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