Bending moment calculator of a cantilever beam with UDL, UVL and point loads – V.MohanKumar

Bending moment calculator of a cantilever beam with UDL, UVL and point loads

(Strength of Materials – by Er. R.K. Rajput)

w1: Uniformly distributed load in N/m;

w2: Uniformly varying load in N/m;

W3: Point load in N;

x1: the perpendicular distance of the load w1;

x2: the perpendicular distance of the load w2;

x3: the perpendicular distance between the loads w1 and w2;

x4: the perpendicular distance of the load W3 with respect to the fixed end.

Bending Moment of a point load: applied load*the perpendicular distance

Bending moment of a Uniformly varying load: the area of the applied load (0.5*base*length)*(perpendicular distance of the applied load/3 + remaining length of the beam);

Bending Moment of the Uniformly distributed load: (applied load*perpendicular distance of the applied load)*(perpendicular distance of the applied load/2 + remaining length of the beam).

Note: The above procedure can be followed for any different loading conditions and the moment can be found out at any point of the beam. But for example, the Bending Moment calculation has been shown only for the fixed end of the cantilever beam. The below given solution is applicable only for the given loading condition in the diagram.