use the method sectio 1. The cantilever beam in Figure 1 is fixed at A, and is loaded with a distributed load from Bto 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]%3D%3D(b) Use the METHOD OF SECTIONS to determine expressions for the shear force andbending moment along the entire length of the beam.= 10x – 20 kNm;[Ans.: A to B: Q == -10x + 15 kN, M = -5x² + 15 x – 21.25 kNm;C to D: Q = 0, M = -10 kNm]= 10 kN, MB to C: Q :|(c) Plot the shear force and bending moment diagrams.T.10 kN/m10 kNm0.5 m1 m0.5 mFigure 1.

Answered: Image /qna-images/answer/4ade6ca9-4ae3-4b6d-bc06-1ef3aa8d694b.jpg

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 = %3D -10 kNm] (c) Plot the shear force and bending moment diagrams. 10 kN/m 10 kNm 0.5 m 1 m 0.5 m Figure 1.

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 = %3D -10 kNm] (c) Plot the shear force and bending moment diagrams. 10 kN/m 10 kNm 0.5 m 1 m 0.5 m Figure 1.

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 9.3.15P: A cantilever beam has a length L = 12 ft and a rectangular cross section (b = 16 in., h = 24 in.), A...

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