Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a-3.5 m, b=2.0 m, Pg = 2 kN, Pc = 2 kN, and Mg = 20 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 C b 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 A, = 0, it has been omitted from the free-body diagram.) PB Pc MA Mg B |C A b kN-m. Answers: Ay = i kN, MA = i
PART 1
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3.5 m, b=2.0 m, PB = 2 kN, PC = 2 kN, and MB = 20 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.
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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.)
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PART 2
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 = 3.5– m (i.e., just to the left of B)
(c) x = 3.5+ m (i.e., just to the right of B)
(d) x = 5.5– 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 = ? kN.
(c) V = ? kN.
(d) V = ? kN.
PART 3
(a) x = 0+ m (i.e., just to the right of fixed support A)
(b) x = 3.5– m (i.e., just to the left of B)
(c) x = 3.5+ m (i.e., just to the right of B)
(d) x = 5.5 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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