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 = 3.5 kips/ft, a-10.5 ft, and b=16.0 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. a 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.) Answers: (a) V= B (b) V= Cy Determine the shear force acting at each of the following locations: (c) V= B (a) x = 10.5-ft (i.e., just to the left of support B) (b) x = 10.5+ ft (i.e.. just to the right of support B) (c) x = 25.5 ft (d) x = 26.5-ft (i.e., just to the left of support C) Note that x = 0 at point A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. (d) V= i b kips X kips kips X kips

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 = 3.5 kips/ft, a-10.5 ft, and b=16.0 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. a 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.) Answers: (a) V= B (b) V= Cy Determine the shear force acting at each of the following locations: (c) V= B (a) x = 10.5-ft (i.e., just to the left of support B) (b) x = 10.5+ ft (i.e.. just to the right of support B) (c) x = 25.5 ft (d) x = 26.5-ft (i.e., just to the left of support C) Note that x = 0 at point A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. (d) V= i b kips X kips kips X kips

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

By = 76.809

Cy = 15.94

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 = 3.5 kips/ft, a-10.5 ft, and b=16.0 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.
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
Answers:
(a) V=
B
Cy
Determine the shear force acting at each of the following locations:
(b) V=
(a) x = 10.5-ft (i.e., just to the left of support B)
(b) x = 10.5+ ft (i.e., just to the right of support B)
(c) x = 25.5 ft
(d) x = 26.5-ft (i.e., just to the left of support C)
Note that x = 0 at point A. When entering your answers, use the shear-force sign convention detailed in Section 7.2.
(c) V=
B
(d) V= i
b
kips
kips
x
kips
kips

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Step 3: Calculation of shear force diagram

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Step 4: Calculation of shear force diagram

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Step 5: Calculation of bending moment diagram

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Step 6: Calculation of bending moment diagram

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Step 7: Calculation of maximum positive bending moment and its location

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