Part 1 For the simply supported beam subjected to the loading shown, derive equations for the shear force Vand the bending momentM for any location in the beam. (Place the origin at point A.) Let w= 4.0 kips/ft, a= 6.5 ft, and b= 17.5 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 B, and C, acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram belov. (Note: Since B, = 0, it has been omitted from the free-body diagram.) Answers: B, = kips kips eTextbook and Media Save for Later Attempts: 0 of 1 used Submit Answer Part 2 Determine the shear force acting at each of the following locations: (a) x = 6.5-ft (i.e. just to the left of support 8) (b) x = 6.5+ ft (i.e. just to the right of support 8) (c) x = 23.0 ft (d) x = 24.0- ft (i.e. just to the left of support C) Note thatx = 0at point A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. Answers: (a) V= kips (b) V= kips (c) V= kips (d) V= kips

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
100%

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 w = 4.0 kips/ft, a= 6.5 ft, and b= 17.5 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.

 

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 w = 4.0 kips/ft, a= 6.5 ft, and b= 17.5 ft. Construct the shear-force
and bending-moment diagrams on paper and use the results to ansvwer the questions in the subsequent parts of this GO exercise.
Calculate the reaction forces B, and C, acting on the beam. Positive values for the reactions are indicated by the directions of the
red arrows shown on the free-body diagram belovw. (Note: Since B, = 0, it has been omitted from the free-body diagram.)
c,
Answers:
By=
kips
kips
eTextbook and Media
Save for Later
Attempts: 0 of 1 used
Submit Answer
Part 2
Determine the shear force acting at each of the following locations:
(a) x= 6.5- ft (i.e, just to the left of support B)
(b) x = 6.5+ ft (i.e., just to the right of support B)
(c) x = 23.0 ft
(d) x = 24.0- ft (i.e. just to the left of support C)
Note that x= 0 at point A. When entering your answers, use the shear-force sign convention detailed in Section 7.2.
Answers:
(a) V=
kips
(b) V=
kips
(c) V=
kips
(d) 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 w = 4.0 kips/ft, a= 6.5 ft, and b= 17.5 ft. Construct the shear-force and bending-moment diagrams on paper and use the results to ansvwer the questions in the subsequent parts of this GO exercise. Calculate the reaction forces B, and C, acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram belovw. (Note: Since B, = 0, it has been omitted from the free-body diagram.) c, Answers: By= kips kips eTextbook and Media Save for Later Attempts: 0 of 1 used Submit Answer Part 2 Determine the shear force acting at each of the following locations: (a) x= 6.5- ft (i.e, just to the left of support B) (b) x = 6.5+ ft (i.e., just to the right of support B) (c) x = 23.0 ft (d) x = 24.0- ft (i.e. just to the left of support C) Note that x= 0 at point A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. Answers: (a) V= kips (b) V= kips (c) V= kips (d) V= kips
Part 3
Determine the bending moment acting at each of the following locations:
(a) x = 6.5 ft (i.e., at support B)
(b) x = 23.0 ft
Note that x = 0 at point A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2.
Answers:
(a) M =
i
kips-ft
(b) M=
i
kips-ft
eTextbook and Media
Save for Later
Attempts: 0 of 1 used Submit Answer
Part 4
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. Use the bending-moment sign
convention 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
kips-ft,, Xmax, pos
ft
Mmax neg
kips-ft,
Xmax, neg
ft
Transcribed Image Text:Part 3 Determine the bending moment acting at each of the following locations: (a) x = 6.5 ft (i.e., at support B) (b) x = 23.0 ft Note that x = 0 at point A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2. Answers: (a) M = i kips-ft (b) M= i kips-ft eTextbook and Media Save for Later Attempts: 0 of 1 used Submit Answer Part 4 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. Use the bending-moment sign convention 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 kips-ft,, Xmax, pos ft Mmax neg kips-ft, Xmax, neg ft
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
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