1. The cantilever beam in Figure 1 is fixed at A, and is loaded with a distributed load from B to C and a concentrated moment at D. (a) Determine all of the support reactions on the beam (at A). Show free-body diagrams (with all essential components), and clearly annotate all calculations. [ans.: Ay = 10 kN; Ax = 0; MA = 20 kNm] (b) Use the METHOD OF SECTIONS to determine expressions for the shear force and bending moment along the entire length of the beam. [Ans.: A to B: Q = 10 kN, M = 10x – 20 kNm; B to C: Q = -10x + 15 kN, M = -5x² + 15 x - 21.25 kNm; C to D: Q = 0, M = -10 kNm] (c) Plot the shear force and bending moment diagrams. 10 kN/m 10 kNm B D 0.5 m 1 m 0.5 m

1. The cantilever beam in Figure 1 is fixed at A, and is loaded with a distributed load from B to C and a concentrated moment at D. (a) Determine all of the support reactions on the beam (at A). Show free-body diagrams (with all essential components), and clearly annotate all calculations. [ans.: Ay = 10 kN; Ax = 0; MA = 20 kNm] (b) Use the METHOD OF SECTIONS to determine expressions for the shear force and bending moment along the entire length of the beam. [Ans.: A to B: Q = 10 kN, M = 10x – 20 kNm; B to C: Q = -10x + 15 kN, M = -5x² + 15 x - 21.25 kNm; C to D: Q = 0, M = -10 kNm] (c) Plot the shear force and bending moment diagrams. 10 kN/m 10 kNm B D 0.5 m 1 m 0.5 m

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter9: Deflections Of Beams

Section: Chapter Questions

Problem 9.5.14P: A cantilever beam is subjected to load P at mid-span and counterclockwise moment Mat B (see figure)....

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