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 = 20.0 kips/ft, a=6.0 ft, and b=20.5 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 B a W B Calculate the reaction forces By and Cy 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 = O, it has been omitted from the free-body diagram.) b W b C X C₂ X

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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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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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 = 20.0
kips/ft, a=6.0 ft, and b=20.5 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
A
B
a
W
Calculate the reaction forces By and Cy 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 =
O, it has been omitted from the free-body diagram.)
B
b
b
X
C
X
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 = 20.0 kips/ft, a=6.0 ft, and b=20.5 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 A B a W Calculate the reaction forces By and Cy 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 = O, it has been omitted from the free-body diagram.) B b b X C X
Determine the bending moment acting at each of the following locations:
(a) x = 6.0 ft (i.e., at support B)
(b) x = 25.5 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
Transcribed Image Text:Determine the bending moment acting at each of the following locations: (a) x = 6.0 ft (i.e., at support B) (b) x = 25.5 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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