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how do you calculate the shear force and bending moments for a double overhanging beam with...

how do you calculate the shear force and bending moments for a double overhanging beam with a uniformly distributed load over the full length and point loads at each end? No values given

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Answer #1

The double overhanging beam with a uniformly distributed load over the full length and points load at each end will behave as symmetrical beam with the Y-AXIS. The support reaction generated at the supports will be the half of total vertical load applied on beam.

After knowing the values of support reaction, Shear force will be the net algebraic summation of all the vertical force taken from any sides of beam . the beam and loading are symmetrical and hence the shear force value will also be same from both sides.

Bending  moments are calculated by taking net algebraic summation of moments of all vertical forces at a section. the values will be symmetrical about the center of the beam. because loading and beam are symmetrical.

NOTE: Due to overhang at both the sides of support, hogging bending moment induced and hence the net maximum positive bending moment decreases at center .

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