Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Textbook Question
Chapter 13, Problem 13.27CP
Write a computer program that will calculate the shear and moment at any point along the length of a simply supported beam subjected to a uniformly distributed load. User input is to be beam span length, intensity of distributed load, and the location (with respect to the left support) at which the shear and moment are to be calculated.
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Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3.5 ft, b=9.0 ft, c=4.0 ft, d=3.5 ft, w = 5.5 kips/ft and P = 45 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.
For this loading, calculate the reaction forces Ay and Ey 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.)
Ay =___________ kips, Ey = __________ kips.
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 = 3.5 ft(c) x = 12.5 ft(d) x = 16.5– ft (i.e., just to the left of D)(e) x = 16.5+ ft (i.e., just to the right of D)(f) x = 20.0– ft (i.e., just to the left of support E)
Answer: a to f ) V = ________ kips
Use the graphical…
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.…
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a-9 ft, b-6 ft and
w=10.5 kips/ft.
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.)
Answer:
(a) Vi
(b) V = i
(c) V-
a
Answers: A,
kips, Cy
Determine the shear force acting at each of the following locations:
(a) x = 0+ ft (i..., just to the right of support A)
(b) x-9 ft
(c)x=13ft
When entering your answers, use the shear force sign convention.
kips.
kips.
kips.
b
(a) M-
(b) M-
(c) M-i
С
Cy
The shear-force diagram crosses the V = 0 axis between points A and B. Determine the location x where V = 0 kips.
Answer:x-i
ft.
kip-ft.
kip-ft.
kip-ft.
kips.
Determine the maximum bending moment that acts anywhere in the beam. When entering your answer, use the bending moment
sign convention.…
Chapter 13 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 13 - through 13.6 Calculate the reactions at points A...Ch. 13 - Calculate the reactions at points A and B for the...Ch. 13 - through 13.6 Calculate the reactions at points A...Ch. 13 - Calculate the reactions at points A and B for the...Ch. 13 - Calculate the reactions at points A and B for the...Ch. 13 - Calculate the reactions at points A and B for the...Ch. 13 - Calculate the shear and bending moment at 4 m and...Ch. 13 - Calculate the shear and bending moment at 3 ft and...Ch. 13 - Calculate the shear and bending moment at midspan...Ch. 13 - Calculate the shear and bending moment at 5 ft and...
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- 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 = 20.0 kips/ft, a=6.0 ft, and b=20.5 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. a A B a W 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 = O, it has been omitted from the free-body diagram.) B b b X C Xarrow_forwardUse the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 ft, b-8.0 ft, c-4.0 ft, d=3.0 ft, w = 6.5 kips/ft and P = 45 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. A a a B Part 2 b d For this loading, calculate the reaction forces Ay and Ey 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.) Save for Later B W Answers: Ay = i 37.575 eTextbook and Media W AV=P₂ b C V₁ - V₁ = Sw(x) dx C C с D + D d kips, Ey= M₂ E i E ZA x Ey X Incorrect If your answer for part (a) or (e) is incorrect, recall that concentrated loads create discontinuities in the shear-force diagram. Refer to the table below (Construction Rules for Shear-Force and Bending-Moment Diagrams), Rule 1. At…arrow_forwardDraw Shear Force and Bending Moment Diagram Graphically for the following Beamarrow_forward
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- Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=11 ft, b=6 ft and w = 12 kips/ft.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.)Determine the maximum bending moment that acts anywhere in the beam. When entering your answer, use the bending moment sign convention.Answer: Mmax = Enter your answer in accordance to the question statement kip-ft. Save for Laterarrow_forwardUse the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=11 ft, b=6 ft and w = 12 kips/ft.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.) The shear-force diagram crosses the V = 0 axis between points A and B. Determine the location x where V = 0 kips.Answer: x = Enter your answer in accordance to the question statement ft.arrow_forwardUse the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=11 ft, b=6 ft and w = 12 kips/ft.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.) Use the graphical method to determine the bending moment acting at each of the following locations:(a) x = 8.2 ft(b) x = 11 ft(c) x = 13.6 ftWhen entering your answers, use the bending moment sign convention.Answers:(a) M = kip-ft.(b) M = kip-ft.(c) M = kip-ft.arrow_forward
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