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-14.0 ft, b=3.0 ft, c= 7.0 ft, w = 9 kips/ft and M = 300 kip-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. " Ay Answers: Ay= Cy= i W 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 Ax = 0, it has been omitted from the free-body diagram.) " Mi M W B M B b kips C kips C C₂ D с X -X

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
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...
icon
Related questions
Question
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=14.0 ft, b=3.0 ft, c= 7.0 ft, w = 9 kips/ft and M = 300 kip-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.
"
"
Answers:
Ay=
Cy=
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 Ax = 0, it has been omitted from the free-body diagram.)
i
W
i
a
W
M
a
B
M
B
ес
b
kips
kips
с
Cy
с
X
с
-X
Transcribed Image Text: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=14.0 ft, b=3.0 ft, c= 7.0 ft, w = 9 kips/ft and M = 300 kip-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. " " Answers: Ay= Cy= 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 Ax = 0, it has been omitted from the free-body diagram.) i W i a W M a B M B ес b kips kips с Cy с X с -X
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
Determine the bending moment acting at each of the following locations:
(a) x = 14.0-ft (i.e., just to the left of point B)
(b) x = 14.0+ ft(i.e., just to the right of point B)
(c) x = 17.0 ft (i.e. at point C)
(d) x = 23.0 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) M= i
(b) M= i
(c) M= i
(d) M= i
kips-ft
kips-ft
kips-ft
kips-ft
Transcribed Image Text:Determine the bending moment acting at each of the following locations: (a) x = 14.0-ft (i.e., just to the left of point B) (b) x = 14.0+ ft(i.e., just to the right of point B) (c) x = 17.0 ft (i.e. at point C) (d) x = 23.0 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) M= i (b) M= i (c) M= i (d) M= i kips-ft kips-ft kips-ft kips-ft
Use your shear-force and bending-moment diagrams to determine the maximum positive bending moment, Mmax, pos, the
maximum negative bending moment, Mmax, neg, and their respective locations, Xmax, pos and Xmax, neg. When entering your answers
for the maximum bending moments, use the shear-force and bending-moment sign conventions detailed in Section 7.2. The
maximum negative bending moment is the negative moment with the largest absolute value. Enter the maximum negative
bending moment as a negative value.
Answers:
Mmax, pos
Mmax, neg
Mi
kips-ft Xmax, pos
kips-ft Xmax, neg
i
ft
ft
Transcribed Image Text:Use your shear-force and bending-moment diagrams to determine the maximum positive bending moment, Mmax, pos, the maximum negative bending moment, Mmax, neg, and their respective locations, Xmax, pos and Xmax, neg. When entering your answers for the maximum bending moments, use the shear-force and bending-moment sign conventions detailed in Section 7.2. The maximum negative bending moment is the negative moment with the largest absolute value. Enter the maximum negative bending moment as a negative value. Answers: Mmax, pos Mmax, neg Mi kips-ft Xmax, pos kips-ft Xmax, neg i ft ft
Solution
Bartleby Expert
SEE SOLUTION
Follow-up Question
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 = 14.0 ft (i,e., at point B)
(c) x = 17.0-ft (i.e., just to the left of the support C)
(d) x = 17.0+ ft (i.e., just to the right of the support (C)
(e) x = 23.0 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=
i
(b) V= i
(c) V= i
(d) V= i
(e) V= i
kips
kips
kips
kips
kips
Transcribed Image Text: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 = 14.0 ft (i,e., at point B) (c) x = 17.0-ft (i.e., just to the left of the support C) (d) x = 17.0+ ft (i.e., just to the right of the support (C) (e) x = 23.0 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= i (b) V= i (c) V= i (d) V= i (e) V= i kips kips kips kips kips
Solution
Bartleby Expert
SEE SOLUTION
Knowledge Booster
Bending
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
International Edition---engineering Mechanics: St…
International Edition---engineering Mechanics: St…
Mechanical Engineering
ISBN:
9781305501607
Author:
Andrew Pytel And Jaan Kiusalaas
Publisher:
CENGAGE L
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning