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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 = 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 b Calculate the reaction forces By and Cyacting 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.) C B, Answers: By= i kips Cy = 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 shear-force sign convention detailed in Section 7.2. Answers:

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 = 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 b Calculate the reaction forces By and Cyacting 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.) C B, Answers: By= i kips Cy = 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 shear-force sign convention detailed in Section 7.2. Answers:

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Determine the bending moment acting at each of the following locations: (a) x = 5.0 ft (i.e., at support B) (b) x = 19.5 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) М- i 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. 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: i kips-ft,, Xmax, pos Mmax, pos = i ft Mmax, neg kips-ft, Xmax, neg ft
Transcribed Image Text:Determine the bending moment acting at each of the following locations: (a) x = 5.0 ft (i.e., at support B) (b) x = 19.5 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) М- i 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. 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: i kips-ft,, Xmax, pos Mmax, pos = i ft Mmax, neg kips-ft, Xmax, neg ft
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 = 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 shear-force sign convention detailed in Section 7.2. Answers:
Transcribed Image Text: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 = 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 shear-force sign convention detailed in Section 7.2. Answers:
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