Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a-4.0 m, b=2.5 m, P8 = 4 kN, Pc = 4 kN, and Mg = 60 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. PB Pc MB B A b Calculate the reaction forces A, 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 A, = 0, it has been omitted from the free-body diagram.) Pc PB MA MB B C b a kN-m. kN, MA = i i Answers: A, =
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 m, b=2.5 m, PB = 4 kN, PC = 4 kN, and MB = 60 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.
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.)
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 = 4.0– m (i.e., just to the left of B)
(c) x = 4.0+ m (i.e., just to the right of B)
(d) x = 6.5 m
When entering your answers, use the bending moment sign convention.
Answers:
(a) M = kN-m.
(b) M = kN-m.
(c) M = kN-m.
(d) M = kN-m.
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