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Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a-3.0m, b=1.5 m, PB = 4 kN, Pc = 2 kN, and MB = 30 kN-m. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. Pc PB 27 MB C B b a Calculate the reaction forces Ay and MA acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) Pc PB МА MB kN-m. Answers: Ay = i a B b KN, MA= X C
Determine the shear force acting at each of the following locations: (a) x = 0+ m (i.e., just to the right of fixed support A) (b)x= 3.0- m (i.e., just to the left of B) (c) x = 3.0+ m (i.e., just to the right of B) (d) x = 4.5-m (i.e., just to the left of C) When entering your answers, use the shear force sign convention. Answer: (a) V = kN. (b) V = i KN. (c) V = i KN. (d) V = i KN. i
Determine the bending moment acting at each of the following locations: (a) x = 0+ m (i.e., just to the right of fixed support A) (b) x = 3.0- m (i.e., just to the left of B) (c) x = 3.0+ m (i.e., just to the right of B) (d) x = 4.5 m When entering your answers, use the bending moment sign convention. Answers: (a) M = i kN-m. (b) M = i kN-m. (c) M = i kN-m. (d) M = i kN-m.