EASIEST METHOD TO FIND SFD BMD FOR SIMPLY SUPPORTED BEAM WITH CENTRAL POINT LOAD

 

EASIEST METHOD TO FIND SFD BMD FOR SIMPLY SUPPORTED BEAM WITH CENTRAL POINT LOAD


At the ends of a simply supported beam the bending moments are zero.At the wall of a cantilever beam, the bending moment equals the moment reaction. At the free end, the bending moment is zero.

Beams – SFD and BMD

 • Draw the SFD and BMD.

 Determine reactions at supports.

• Cut beam at C and consider member AC, V = + P 2 M = + Px 2

• Cut beam at E and consider member EB, V = -P 2 M = + P(L - x) 2

 • for a beam subjected to concentrated loads, shear is constant between loading points and moment varies linearly

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