An 11-m beam is subjected to a load, and the shear force follows the equation V(x) =

Question:

An 11-m beam is subjected to a load, and the shear force follows the equation
V(x) = 5 + 0.25x2
Where V is the shear force and x is length in distance along the beam. We know that V = dM/dx, and M is the bending moment. Integration yields the relationship

If Mo, is zero and x = 11, calculate M using
(a.) analytical integration,
(b) multiple-application trapezoidal rule, and
(c) multiple- application Simpson€™s rules. For (b) and (c) use 1-mincrements.