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Simple beam, bending moment, uniformly distributed load.

ÀÛ¼ºÀÚ Uploader : pmsix ÀÛ¼ºÀÏ Upload Date: 2017-12-01º¯°æÀÏ Update Date: 2017-12-01Á¶È¸¼ö View : 1150

As shown in the figure, when a uniformly distributed load is applied to a simple beam, the reaction forces at the both supports can be calculated as follows.

Bending moment at the support B is 0.
Therefore, the reaction force at support A can be calculated by following equation.

RA*L - w*L*L/2 = 0
RA = w*L / 2 = RB

Maximum shear force occurs at both ends of beam and minimum shear force occurs at the midpoint of beam.

Maximum bending moment (MC) occurs at the midpoint of beam and it can be calculated as follows.

MC = (w*L/2)*(L/2)-(w*L/2)*(L/4) = (w*L/2)*(L/4)
     = (w*L^2) / 8

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MC = (w*L^2) / 8
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