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) Leto-7.0ft, b-21.5 ft. P-35 kips and w-7.0 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. 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: A,- b kips kips railz Determine the shear force acting at each of the following locations: (a) x-7.0-ft (i.e, just to the left of point B) (b) x-7.0+ ft (i.e. just to the right of point B) (c) x-26.5 ft Note that x-0 at support A. When entering your answers, use the shear-force sign convention deta Answers: (a) V- (b) V- (c) V- kips kips kips

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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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 1
For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M
for any location in the beam. (Place the origin at point A.) Let a-7.0 ft, b-21.5 ft. P-35 kips and w- 7.0 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.
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:
Cy-
kips
kips
Part 2
Determine the shear force acting at each of the following locations:
(a) x-7.0-ft (i.e., just to the left of point B)
(b)x - 7.0+ ft (i.e., just to the right of point B)
(c)x-26.5 ft
Note that x-O at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2.
Answers:
(a) V-
(b) V-
(c) V-
i
i
kips
kips
kips
Transcribed Image Text:Part 1 For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a-7.0 ft, b-21.5 ft. P-35 kips and w- 7.0 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. 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: Cy- kips kips Part 2 Determine the shear force acting at each of the following locations: (a) x-7.0-ft (i.e., just to the left of point B) (b)x - 7.0+ ft (i.e., just to the right of point B) (c)x-26.5 ft Note that x-O at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. Answers: (a) V- (b) V- (c) V- i i kips kips kips
Part 3
Determine the bending moment acting at each of the following locations:
(a)x= 7.0 ft (i.e, at point B)
(b)x= 26.5 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=
(b) M=
Part 4
Mmax
kips-ft
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:
kips-ft
ft
kips-ft
Transcribed Image Text:Part 3 Determine the bending moment acting at each of the following locations: (a)x= 7.0 ft (i.e, at point B) (b)x= 26.5 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= (b) M= Part 4 Mmax kips-ft 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: kips-ft ft kips-ft
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