Q. Consider a cantilever AB of length l and carrying a uniformly distributed load of w per unit length, over the entire length of the cantilever as shown in below 👇.
We know that shear force at any section X, at a distance x from B,
Fx = +w x. ......(plus sign due to right downwards)
Thus we see that shear force is zero at B (where x= 0) and increases by a straight line law to – wl at A as shown in .
We also know that bending moment at X,
MX = – wx . x/2 = – wx²/2 .....(Minus sign due to hogging)
Thus we also see that the bending moment is zero at B (where x = 0) and increases in the form of a parabolic curve to –wl²/2 at B (where x =1) as shown in.
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