Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=10 ft, b=5 ft and w = 5 kips/ft. W a B b X 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.)
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=10 ft, b=5 ft and w = 5 kips/ft. W a B b X 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.)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=10 ft, b=5 ft and
w = 5 kips/ft.
Answers: Ay = 33.33
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.)
Answer:
(a) V= 33.33
(b) V=
(c) V = i 0
a
-16.67
Answer: x = i
W
B
a
(a) x = 0+ ft (i.e., just to the right of support A)
(b) x = 10 ft
(c) x 13.333333333333 ft
Answer: Mmax = i
B
Determine the shear force acting at each of the following locations:
Answers:
(a) M = i
31
(b) M = i
(c) M = i
When entering your answers, use the shear force sign convention.
b
kips, Cy=
b
kips.
kips.
kips.
16.667
The shear-force diagram crosses the V = 0 axis between points A and B. Determine the location x where V = 0 kips.
ft. 2
C
1
x
Determine the maximum bending moment that acts anywhere in the beam. When entering your answer, use the bending moment
sign convention.
kip-ft. 4
kip-ft. 5
kip-ft. 6
kip-ft. 3
Use the graphical method to determine the bending moment acting at each of the following locations:
(a) x = 4.8 ft
(b) x = 10 ft
(c) x = 12.5 ft
When entering your answers, use the bending moment sign convention.
kips.
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