Part 1For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment Mfor any location in the beam. (Place the origin at point A.) Let w = 9.5 kips/ft, a=10.5 ft, and b=22.0 ft. Construct the shear-forceand bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise.Your answer is partially correct.Answers:By=Cy=Calculate the reaction forces By and C, acting on the beam. Positive values for the reactions are indicated by the directions of thered arrows shown on the free-body diagram below. (Note: Since Bx = 0, it has been omitted from the free-body diagram.)a231.1875Bi 77.1875WBbWbkipskipsCyX Part 3Determine the bending moment acting at each of the following locations:(a) x = 10.5 ft (i.e., at support B)(b)x= 31.5 ftNote that x = 0 at point A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2.Answers:(a) M= i(b) M= ikips-ftkips-ft

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Determine the bending moment acting at each of the following locations: (a)x= 10.5 ft (i.e., at support B) (b)x= 31.5 ft

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

Bending Moment

In general, we can define the bending moment as the reaction induced when a certain amount of load or force is applied to an element which makes it bend.

Question

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 w = 9.5 kips/ft, a=10.5 ft, and b=22.0 ft. 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.
Your answer is partially correct.
Answers:
By=
Cy=
Calculate the reaction forces By and C, 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 Bx = 0, it has been omitted from the free-body diagram.)
a
231.1875
B
i 77.1875
W
B
b
W
b
kips
kips
Cy
X

Part 3
Determine the bending moment acting at each of the following locations:
(a) x = 10.5 ft (i.e., at support B)
(b)x= 31.5 ft
Note that x = 0 at point A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2.
Answers:
(a) M= i
(b) M= i
kips-ft
kips-ft

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