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.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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use the method sectio
![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]
%3D
%3D
(b) Use the METHOD OF SECTIONS to determine expressions for the shear force and
bending 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, M
B to C: Q :
|
(c) Plot the shear force and bending moment diagrams.
T.
10 kN/m
10 kNm
0.5 m
1 m
0.5 m
Figure 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0280cc21-8041-4b35-83af-094302e775e5%2F4ade6ca9-4ae3-4b6d-bc06-1ef3aa8d694b%2Fnonezga_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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]
%3D
%3D
(b) Use the METHOD OF SECTIONS to determine expressions for the shear force and
bending 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, M
B to C: Q :
|
(c) Plot the shear force and bending moment diagrams.
T.
10 kN/m
10 kNm
0.5 m
1 m
0.5 m
Figure 1.
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