Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=9 ft, b=5 ft and w = 5.5 kips/ft. B b Calculate the reaction forces Ayand 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.)
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 = 9 ft
(c) x = 12.333333333333 ft
When entering your answers, use the shear force sign convention.
Answer:
(a) V = kips.
(b) V = kips.
(c) V = kips.
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.
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.
Use the graphical method to determine the bending moment acting at each of the following locations:
(a) x = 3.3 ft
(b) x = 9 ft
(c) x = 12.6 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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