For the simply supported beam and loading shown, a) Evaluate the beam reactions. b) Derive equations for the internal shear force, V(x), and the bending moment, M(x), along the length of the beam. [Ans. to Check: V(x) = 6.5-2x (1 ft < x < 5 ft)] c) Plot the shear force and bending moment diagrams using these functions. d) Report the maximum positive and negative shear forces (in kips) and maximum positive and negative bending moments (in k-ft) along with their respective locations. [Ans. to Check: Mmax-negative = -2 k-ft @x=1 ft] 2 kips/ft 2 kips 1 ft B 4 ft X