Bending moment calculator of a cantilever beam with point load and UDL
(Strength of Materials – by Er. R.K. Rajput)
w1 and w4 are the uniformly distributed loads applied on the cantilever beam;
W2,W3 and W5 are the point loads applied on the cantilever beam;
x1,x2,x3,x4 are the perpendicular distances of the applied loads;
Bending Moment (B.M) of a point load: applied load (W) * perpendicular distance (x);
Bending Moment (B.M) of a uniformly distributed load (UDL): (applied load) * (distance between the two sections where the load is applied) * (distance between the two sections/2 + remaining length of the beam)
From the above formula, we can calculate the Bending moment acting at any point on the beam. (for an example, here the bending moment calculation is shown at the fixed end of the cantilever beam).
NOTE: The distance between C and D is to be taken as x4. This formula is applicable only for the above loading conditions shown in the figure with different point loads and UDLs.