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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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.…
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-3.25 m, b=4.75 m, Pg - 35kN, and Pc = 80kN. 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
Ay- 58.66
-
Dy-
Calculate the reaction forces A, and Dy 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.)
Answers:
a
56.33
(a) V=
(b) V-
(c) V-
B
i
i
PB
B
kN
с
kN
C
Determine the shear force acting at each of the following locations:
(a) x-2m
(b)x - 4 m
(c) x-8 m
Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2.
3 3 3
KN
D
b
kN
D
·x
Dy
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...
Ch. 13 - Calculate the shear and bending moment at 5 m and...Ch. 13 - For the beams shown, draw complete shear diagrams.Ch. 13 - For the beams shown, draw complete shear diagrams.Ch. 13 - Prob. 13.14PCh. 13 - For the beams shown, draw complete shear diagrams.Ch. 13 - For the beams shown (next page), draw complete...Ch. 13 - For the beams shown (next page), draw complete...Ch. 13 - For the beams shown (next page), draw complete...Ch. 13 - For the beams shown (next page), draw complete...Ch. 13 - For the beams shown (next page), draw complete...Ch. 13 - For the beams shown, draw complete shear and...Ch. 13 - For the beams shown, draw complete shear and...Ch. 13 - For the beams shown, draw complete shear and...Ch. 13 - A moving-load system is composed of two...Ch. 13 - A moving-load system is composed of two...Ch. 13 - One of the standard truck loads used in the design...Ch. 13 - Write a computer program that will calculate the...Ch. 13 - Write a program that will calculate the shear and...Ch. 13 - Viking Consultants wishes to generate a table of...Ch. 13 - Calculate the reactions for the simple beams...Ch. 13 - Calculate the reactions for the overhanging beams...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 - For the beams of Problem 13.33, calculate the...Ch. 13 - For the beam shown, calculate the shear and...Ch. 13 - Calculate the shear and bending moment at points 4...Ch. 13 - Calculate the shear arid bending moment at points...Ch. 13 - Calculate the shear and bending moment at points...Ch. 13 - Refer to the beam shown and draw complete shear...Ch. 13 - Refer to the beam shown and draw complete shear...Ch. 13 - Refer to the beam shown and draw complete shear...Ch. 13 - Refer to the beam shown and draw complete shear...Ch. 13 - Refer to the beam shown and draw complete shear...Ch. 13 - Refer to the beam shown and draw complete shear...Ch. 13 - Refer to the beam shown and draw complete shear...Ch. 13 - Refer to the beam shown and draw complete shear...Ch. 13 - Refer to the beam shown and draw complete shear...Ch. 13 - Refer to the indicated problem and draw complete...Ch. 13 - Refer to the indicated problem and draw complete...Ch. 13 - Refer to the indicated problem and draw complete...Ch. 13 - Refer to the indicated problem and draw complete...Ch. 13 - Refer to the indicated problem and draw complete...Ch. 13 - Refer to the indicated problem and draw complete...Ch. 13 - Refer to the indicated problem and draw complete...Ch. 13 - Refer to the indicated problem and draw complete...Ch. 13 - Refer to the indicated problem and draw complete...Ch. 13 - Refer to the indicated problem and draw complete...Ch. 13 - Refer to the indicated problem and draw complete...Ch. 13 - A two-axle roller with axles 5 m apart passes over...Ch. 13 - A moving load system with wheels at fixed...Ch. 13 - A moving-load system with wheels spaced as shown...
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- can you help me on part 3 and 4arrow_forwardcan you help me on part 3, 4 and 5arrow_forwardFind Out Shear and moment equations at different sections for the beams shown in figures. Find out values of V and M at different locations. Finally Sketch results free hand so that they can be graphically interpreted 10k 7' 6' Intesnal 3K Ainge 3 bActivateKVindows 4. Go to Settings to activate Windowsarrow_forward
- Problem 1: ( ) Draw the shear force (V) and bending moment (M) diagrams for the beam AG below with the following order: Draw the necessary FBD and find the support reactions. On the shear and moment diagrams, show all critical points, and give their locations and magnitudes. Indicate the order of all curves (for example 1t degree, 2nd degree, 3rd degree). Note: You don't have to find the equations defining the shear and moment diagrams unless necessary. 30 kN 20 kN 4 kN/m 10 kNm 4 F hinge G E + 2 m 5 m 2 m * 2 m 2 m + 2 marrow_forwardPart 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 w = 9.5 kips/ft, a=10.5 ft, and b=22.0 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. Your answer is partially correct. Answers: By= Cy= Calculate the reaction forces By 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 below. (Note: Since Bx = 0, it has been omitted from the free-body diagram.) a 231.1875 B i 77.1875 W B b W b kips kips Cy Xarrow_forward1. The cantilever beam in Figure 1 is fixed at A, and is loaded with a distributed load from A to B and a concentrated moment at C. Use the GRAPHICAL METHOD to plot the shear force and bending moment diagrams for the entire length of the beam. Label values at all key locations on the plots (at changes in loads, maxima, minima, and zeroes). Annotate your diagrams to explain how they were drawn (e.g. "AQAB = (-12 kN/m)(1 m) = -12 kN" and "(dQ/dx)AB = -12 kN/m"). 12 kN/m 5 kNm ZA B D 1 m 0.5 m 0.5 m Figure 1.arrow_forward
- 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. "| Answers: By= 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 = 0, it has been omitted from the free-body diagram.) Cy= Answers: (a) V= (b) V= 351 183.54 (d) V= -120 222.561 (c) V= i -360 B Determine the shear force acting at each of the following locations: (a) x = 6.0-ft (i.e., just to the left of support B) (b) x = 6.0+ ft (i.e., just to the right of support B) (c) x = 25.5 ft (d) x = 26.5-ft (i.e., just to the left of support C) Note that x = 0 at point A.…arrow_forwardFor 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 = 19.0 kips/ft, a=5.0 ft, and b=15.5 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. b 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 = 0, it has been omitted from the free-body diagram.) a b By |C, Answers: By = i kips Cy = i kips Determine the shear force acting at each of the following locations: (a) x = 5.0- ft (i.e., just to the left of support B) (b) x = 5.0+ ft (i.e., just to the right of support B) (c) x = 19.5 ft (d) x = 20.5- ft (i.e., just to the left of support C) Note that x = 0 at point A. When entering your answers, use the…arrow_forwardFor 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-3.25 m, b=4.75 m, Pg = 35kN, and Pc = 80kN. 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= Dy = a M. B a PB Calculate the reaction forces Ay and Dy 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.) PB Pc a Pc kN b KN D b D X D Xarrow_forward
- Please show complete solution of part 6arrow_forwardFor 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 = 19.5 kips/ft, a=6.0 ft, and b=21.5 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 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 = 0, it has been omitted from the free-body diagram.) 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…arrow_forwardFor 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 = 19.5 kips/ft, a=6.0 ft, and b=21.5 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 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 = 0, it has been omitted from the free-body diagram.) Determine the shear force acting at each of the following locations:(a) x = 6.0- ft (i.e., just to the left of support B)(b) x = 6.0+ ft (i.e., just to the right of support B)(c) x = 26.5 ft(d) x = 27.5- 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…arrow_forward
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