shear-force and bending-moment diagrams
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3.5 ft, b=9.0 ft, c=4.0 ft, d=3.5 ft, w = 5.5 kips/ft and P = 45 kips. 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.
For this loading, calculate the reaction forces Ay and Ey 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.)
Ay =___________ kips, Ey = __________ kips.
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 = 3.5 ft
(c) x = 12.5 ft
(d) x = 16.5– ft (i.e., just to the left of D)
(e) x = 16.5+ ft (i.e., just to the right of D)
(f) x = 20.0– ft (i.e., just to the left of support E)
Answer: a to f ) V = ________ kips
Use the graphical method to determine the bending moment acting at B (i.e., x = 3.5 ft). When entering your answers, use the bending moment sign convention.
Answer: MB = ________ kip-ft.
The shear-force diagram crosses the V = 0 axis between points B and C. Determine the location x (measured from A) where V = 0 kips.
Answer: x = _________ ft.
Answers: M = _________ kip-ft.
(a) point C.
(b) point D.
When entering your answers, use the bending moment sign convention.
Answers:
(a) M = _______ kip-ft.
(b) M = ______ kip-ft.
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