Determine the bending moment acting at each of the following locations: (a) x = 10.5 ft (i.e., at point B) (b) x = 32.5 ft Note that x = 0 at support A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2. Answers: (a) M- kips-ft (b) M = kips-ft

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter6: Beams And Cables
Section: Chapter Questions
Problem 6.42P: For the beam AB shown in Cases 1 and 2, derive and plot expressions for the shear force and bending...
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Part 3
Determine the bending moment acting at each of the following locations:
(a) x = 10.5 ft (i.e., at point B)
(b) x = 32.5 ft
Note that x = 0 at support A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2.
Answers:
(а) М-
i
kips-ft
(b) М-
i
kips-ft
Part 4
Use your shear-force and bending-moment diagrams to determine the maximum bending moment, Mmax and its location, xmax-
Use the bending-moment sign convention detailed in Section 7.2.
Answers:
Mmax=
kips-ft
Xmax =
ft
Transcribed Image Text:Part 3 Determine the bending moment acting at each of the following locations: (a) x = 10.5 ft (i.e., at point B) (b) x = 32.5 ft Note that x = 0 at support A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2. Answers: (а) М- i kips-ft (b) М- i kips-ft Part 4 Use your shear-force and bending-moment diagrams to determine the maximum bending moment, Mmax and its location, xmax- Use the bending-moment sign convention detailed in Section 7.2. Answers: Mmax= kips-ft Xmax = ft
Part 1
For the simply supported beam subjected to the loading shown, derive equations for the shear force Vand the bending moment M
for any location in the beam. (Place the origin at point A.) Let a-10.5 ft, b-24.0 ft, P- 20 kips and w - 5.5 kips/ft. 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.
B
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 A, - 0, it has been omitted from the free-body diagram.)
Answers:
kips
Cy-
kips
Part 2
Determine the shear force acting at each of the following locations:
(a) x = 10.5-ft (i.e., just to the left of point B)
(b) x = 10.5+ ft (i.e., just to the right of point B)
(c) x = 32.5 ft
Note that x-0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2.
Answers:
(a) V-
kips
(b) V-
i
kips
(c) V-
kips
Transcribed Image Text:Part 1 For the simply supported beam subjected to the loading shown, derive equations for the shear force Vand the bending moment M for any location in the beam. (Place the origin at point A.) Let a-10.5 ft, b-24.0 ft, P- 20 kips and w - 5.5 kips/ft. 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. B 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 A, - 0, it has been omitted from the free-body diagram.) Answers: kips Cy- kips Part 2 Determine the shear force acting at each of the following locations: (a) x = 10.5-ft (i.e., just to the left of point B) (b) x = 10.5+ ft (i.e., just to the right of point B) (c) x = 32.5 ft Note that x-0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. Answers: (a) V- kips (b) V- i kips (c) V- kips
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