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
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter6: Beams And Cables
Section: Chapter Questions
Problem 6.42P: For the beam AB shown in Cases 1 and 2, derive and plot expressions for the shear force and bending...
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd080948d-e85a-44e9-9914-3d5e13b35db2%2F633fb92d-0cb0-4a7f-82a0-4e1775be4f09%2Fa60jid_processed.jpeg&w=3840&q=75)
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 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 1: Given data
VIEWStep 2: Calculation of support reactions
VIEWStep 3: Calculation of shear force diagram
VIEWStep 4: Calculation of shear force diagram
VIEWStep 5: Calculation of bending moment diagram
VIEWStep 6: Calculation of bending moment diagram
VIEWStep 7: Calculation of maximum positive bending moment and its location
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