For the simply supported beam subjected to the loading shown, derive equations for the shear force Vand the bending moment M for any location in the beam. (Place the origin at point A) Let a-2.00 m, b-5.75 m, PA-70kN, and Pc-100kN. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. P₁ B b Pc D Calculate the reaction forces By and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since B-0, it has been omitted from the free-body diagram.)

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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Part 1
For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M
for any location in the beam. (Place the origin at point A.) Let a-2.00 m, b-5.75 m, PA - 70kN, and Pc- 100kN. Construct the
shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this
GO exercise.
P₁
Answers:
By-
Calculate the reaction forces By and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the
red arrows shown on the free-body diagram below. (Note: Since B-0, it has been omitted from the free-body diagram.)
y|
PA
Dy-
By
i
B
i
B
b
kN
Pc
kN
D
Pc
D
Dy
X
Transcribed Image Text:Part 1 For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a-2.00 m, b-5.75 m, PA - 70kN, and Pc- 100kN. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. P₁ Answers: By- Calculate the reaction forces By and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since B-0, it has been omitted from the free-body diagram.) y| PA Dy- By i B i B b kN Pc kN D Pc D Dy X
Part 2
Determine the shear force acting at each of the following locations:
(a) x-1 m
(b) x - 4 m
(c) x-8.75 m
Note that x-0 at point A. When entering your answers, use the shear-force sign convention detailed in Section 7.2.
Answers:
(a) V-
(b) V-
(c) V-
i
i
i
3 3 3
KN
KN
Transcribed Image Text:Part 2 Determine the shear force acting at each of the following locations: (a) x-1 m (b) x - 4 m (c) x-8.75 m Note that x-0 at point A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. Answers: (a) V- (b) V- (c) V- i i i 3 3 3 KN KN
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