Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=11 ft, b=5 ft and w = 11.5 kips/ft. b Calculate the reaction forces Ay and Cyacting 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.)
PART 1
1. Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=11 ft, b=5 ft and w = 11.5 kips/ft.
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2. 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.)
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Answers: Ay = ? kips, Cy = ? kips
PART 2
Determine the shear force acting at each of the following locations:
(a) x = 0+ ft (i.e., just to the right of support A)
(b) x = 11 ft
(c) x = 14.333333333333 ft
When entering your answers, use the shear force sign convention.
Answer:
(a) V = ? kips.
(b) V = ? kips.
(c) V = ? kips.
PART 3
The shear-force diagram crosses the V = 0 axis between points A and B. Determine the location x where V = 0 kips.
Answer: x = Enter your answer in accordance to the question statement ft.
PART 4
Determine the maximum bending moment that acts anywhere in the beam. When entering your answer, use the bending moment sign convention.
Answer: Mmax = Enter your answer in accordance to the question statement kip-ft.
PART 5
Use the graphical method to determine the bending moment acting at each of the following locations:
(a) x = 3.3 ft
(b) x = 11 ft
(c) x = 13.6 ft
When entering your answers, use the bending moment sign convention.
Answers:
(a) M = ? kip-ft.
(b) M = ? kip-ft.
(c) M = ? kip-ft.
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