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. 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.) Answers: Ay = kN, MA = kN-m. 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 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 = 3.5– 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.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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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, P_B = 2 kN, P_C = 2 kN, and M_B = 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.

Calculate the reaction forces A_y and M_A 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_x = 0, it has been omitted from the free-body diagram.)

Answers: A_y = kN, M_A = kN-m.

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 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 = 3.5– 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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