1. The cantilever beam in Figure 1 is fixed at A, and is loaded with a distrib 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 %3D (b) Use the METHOD OF SECTIONS to determine expressions for the shear force and bending moment along the entire length of the beam. 10 kN, M = 10x - 20 kNm; -10x + 15 kN, M = -5x² + 15 x – 21.25 kNm; C to D: Q = 0, M = -10 kNm] [Ans.: A to B: Q %3D B to C: Q %3D (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 distrib 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 %3D (b) Use the METHOD OF SECTIONS to determine expressions for the shear force and bending moment along the entire length of the beam. 10 kN, M = 10x - 20 kNm; -10x + 15 kN, M = -5x² + 15 x – 21.25 kNm; C to D: Q = 0, M = -10 kNm] [Ans.: A to B: Q %3D B to C: Q %3D (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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Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

100%

う shear Frce
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5 kM
二
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5-10 =
-5 kN
65x510
X s lo
Sミ
5-lo ニ -5kN
S = -5KN
Bending moment
M.
= 5x)
ニ
5x-10(n-4)
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ー5x+40
6<xく1o
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M= -5 +40+10 = -5x+So
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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
%3D
(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;
= -10x + 15 kN, M =
C to D: Q = 0, M = -10 kNm]
%3D
B to C: Q =
-5x2 + 15 x
- 21.25 KN%3;
%3D
(c) Plot the shear force and bending moment diagrams.
10 kN/m
10 kNm
B
C
0.5 m
1 m
0.5 m
Figure 1.

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