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-11.0 ft, b=4.5 ft, c= 7.5 ft, w = 4 kips/ft and M - 250 kip-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. W a W M a b Calculate the reaction forces Ay 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 Ax = 0, it has been omitted from the free-body diagram.) " B M B с b C Cy С X D

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter4: Shear Forces And Bending Moments
Section: Chapter Questions
Problem 4.5.27P: The simple beam ACE shown in the figure is subjected to a triangular load of maximum intensity q0=...
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(a) x = 0+ ft (i.e., just to the right of support A)
(b) x = 11.0 ft (i,e., at point B)
(c) x = 15.5-ft (i.e., just to the left of the support C)
(d) x = 15.5+ ft (i.e., just to the right of the support (C)
(e) x = 22.0 ft
Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2.
Answers:
(a) V=
(b) V =
i
i
(c) V= i
(d) V= i
(e) V= i
kips
kips
kips
kips
kips
Transcribed Image Text:(a) x = 0+ ft (i.e., just to the right of support A) (b) x = 11.0 ft (i,e., at point B) (c) x = 15.5-ft (i.e., just to the left of the support C) (d) x = 15.5+ ft (i.e., just to the right of the support (C) (e) x = 22.0 ft Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. Answers: (a) V= (b) V = i i (c) V= i (d) V= i (e) V= i kips kips kips kips 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 a=11.0 ft, b-4.5 ft, c= 7.5 ft, w = 4 kips/ft and M = 250 kip-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.
27
W
Ay
a
b
Calculate the reaction forces Ay 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 Ax = 0, it has been omitted from the free-body diagram.)
W
M
a
B
M
C
b
C
C₂
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 a=11.0 ft, b-4.5 ft, c= 7.5 ft, w = 4 kips/ft and M = 250 kip-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. 27 W Ay a b Calculate the reaction forces Ay 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 Ax = 0, it has been omitted from the free-body diagram.) W M a B M C b C C₂ C -X
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