force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO

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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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-3.25 m, b=4.75 m, Pg - 35kN, and Pc = 80kN. 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.
A
Ay- 58.66
-
Dy-
Calculate the reaction forces A, 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 Ax = 0, it has been omitted from the free-body diagram.)
Answers:
a
56.33
(a) V=
(b) V-
(c) V-
B
i
i
PB
B
kN
с
kN
C
Determine the shear force acting at each of the following locations:
(a) x-2m
(b)x - 4 m
(c) x-8 m
Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2.
3 3 3
KN
D
b
kN
D
·x
Dy
Transcribed Image Text: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-3.25 m, b=4.75 m, Pg - 35kN, and Pc = 80kN. 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. A Ay- 58.66 - Dy- Calculate the reaction forces A, 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 Ax = 0, it has been omitted from the free-body diagram.) Answers: a 56.33 (a) V= (b) V- (c) V- B i i PB B kN с kN C Determine the shear force acting at each of the following locations: (a) x-2m (b)x - 4 m (c) x-8 m Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. 3 3 3 KN D b kN D ·x Dy
Determine the bending moment acting at each of the following locations:
(a) x = 2m
(b) x-3.25 m (i.e., at point B)
(c) x = 4 m
(d) x = 6.50 m (i.e., at point C)
(e) x-8 m
Note that x-0 at support A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2.
Answers:
(a) M-
(b) M-
(c) M= i
(d) M= i
(e) M-
Answers:
i
Xmax
Mmax =
i
i
kN-mi
Use your bending-moment diagram to determine the maximum bending moment, Mmax and its location, Xmax- Use the bending-
moment sign convention detailed in Section 7.2.
m
kN-mi
kN-m
kN-m
kN-m
kN-m
Transcribed Image Text:Determine the bending moment acting at each of the following locations: (a) x = 2m (b) x-3.25 m (i.e., at point B) (c) x = 4 m (d) x = 6.50 m (i.e., at point C) (e) x-8 m Note that x-0 at support A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2. Answers: (a) M- (b) M- (c) M= i (d) M= i (e) M- Answers: i Xmax Mmax = i i kN-mi Use your bending-moment diagram to determine the maximum bending moment, Mmax and its location, Xmax- Use the bending- moment sign convention detailed in Section 7.2. m kN-mi kN-m kN-m kN-m kN-m
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