Question

mechanics materials

To determine the reactive forces and moments acting on a beam; express the shear and bending moment as functions of their positions along the beam; and construct shear and bending moment diagrams. The cantilever beam shown is subjected to a moment at A and a distributed load that acts over segment BC, and is foxed at C. Determine the reactions at the support located at C. Then write expressions for shear and bending moment as a function of their positions along the beam. Finally, use these expressions to construct shear and bending moment diagrams 5 kips/ft 120 kip-ft 8 ft 6 ft Part A . Reactions at support C ▼ Draw a free-body diagram of the beam on paper. Use your free-body diagram to determine the reactions at support C. Assume positive moments act counterclockwise.

Answer 1

Part a sigma F_x = 0 c_x = 0 sigma F_y = 0 c_y - 5 times 6 = 0 c_y = 30k sigma M_c = 0 M_c - (5 times 6) (6/2) - 120 = 0 M_c = 210 k.ft part B (F) part C 0 lessthanorequalto x < 8 ft sigma F_y = 0 - v = 0 v = 0 sigma M_x = 0 + 5 M + 120 = 0 M = -120 k.ft part D sigma F_y = 0 - 5 (x - 8) - v = 0 v = -5 (x - 8) sigma M_x = 0 + 5 M + 120 + 5(x - 8) (x - 8)/2 = 0 M = -120 - 5/2 (x - 5)^2 = -120 - 2.5 (x - 8)^2 \rn Part E: