PD MẠ B C D a By C,
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3.5 ft, b=6.0 ft, MA = 15 kip-ft, w = 10 kips/ft, and PD = 6 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.
Calculate the reaction forces By 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 Bx = 0, it has been omitted from the free-body diagram.)
Answers: By = 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 point A)
(b) x = 3.5– ft (i.e., just to the left of support B)
(c) x = 3.5+ ft (i.e., just to the right of support B)
When entering your answers, use the shear force sign convention.
Answers:
(a) V = kips.
(b) V = kips.
(c) V = kips.
(a) x = 0+ ft (i.e., just to the right of point A)
(b) x = 3.5– ft (i.e., just to the left of support B)
(c) x = 3.5+ ft (i.e., just to the right of support B)
When entering your answers, use the shear force sign convention.
Answers:
(a) V = kips.
(b) V = kips.
(c) V = kips.
Part 3
Determine the shear force acting at each of the following locations:
(a) x = 9.5– ft (i.e., just to the left of support C)
(b) x = 9.5+ ft (i.e., just to the right of support C)
(c) x = 13.0– ft (i.e., just to the left of D)
When entering your answers, use the shear force sign convention.
Answers:
(a) V = kips.
(b) V = kips.
(c) V = kips.
(a) x = 9.5– ft (i.e., just to the left of support C)
(b) x = 9.5+ ft (i.e., just to the right of support C)
(c) x = 13.0– ft (i.e., just to the left of D)
When entering your answers, use the shear force sign convention.
Answers:
(a) V = kips.
(b) V = kips.
(c) V = kips.
Part 4
The shear-force diagram crosses the V = 0 axis between points B and C. Determine the location xc (measured from A) where V = 0 kips.
Answer: xc = ft.
Answer: xc = ft.
Part 5
Determine the bending moment acting at each of the following locations:
(a) x = 0+ ft (i.e., just to the right of A)
(b) x = 3.5 ft
When entering your answers, use the bending moment sign convention.
Answers:
(a) M = kip-ft.
(b) M = kip-ft.
(a) x = 0+ ft (i.e., just to the right of A)
(b) x = 3.5 ft
When entering your answers, use the bending moment sign convention.
Answers:
(a) M = kip-ft.
(b) M = kip-ft.
Part 6
Determine the bending moment acting at each of the following locations:
(a) x = xc (the value calculated in part 4)
(b) x = 9.5 ft
When entering your answers, use the bending moment sign convention.
Answers:
(a) M = kip-ft.
(b) M = kip-ft.
(a) x = xc (the value calculated in part 4)
(b) x = 9.5 ft
When entering your answers, use the bending moment sign convention.
Answers:
(a) M = kip-ft.
(b) M = kip-ft.
Part 7
Use your shear-force and bending-moment diagram to determine
(a) the shear force V and
(b) the bending moment M
acting at x = 7 ft. When entering your answers, use the shear force and bending moment sign conventions.
Answers:
(a) V = kips.
(b) M = kip-ft.
(a) the shear force V and
(b) the bending moment M
acting at x = 7 ft. When entering your answers, use the shear force and bending moment sign conventions.
Answers:
(a) V = kips.
(b) M = kip-ft.
Transcribed Image Text:PD
MẠ
B
C
D
a
By
C,
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