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.: A, = 10 kN; Ax = 0; MA = 20 kNm](b) Use the METHOD OF SECTIONS to determine expressions for the shear force andbending 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/m10 kNmBD0.5 m1 m0.5 mFigure 1.

Answered: Image /qna-images/answer/3bd3a6de-07b1-44ee-9289-3f219aba45a7.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.: A, = 10 kN; A, = 0; MẠ = 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.

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.: A, = 10 kN; A, = 0; MẠ = 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.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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