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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 a=10.0 ft, b=21.0 ft, P = 21 kips and w = 9.5 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. A Answers: Ay = 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 Answers: i (a) V= (c) V= (b) V= i Answers: a (a) M = Determine the shear force acting at each of the following locations: (a) x 10.0-ft (i.e., just to the left of point B) (b) x = 10.0+ ft (i.e., just to the right of point B) (c) x = 29.0 ft Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. (b) M= a Mmax Answers: Xmax = i i B i b B i W Determine the bending moment acting at each of the following locations: (a) x = 10.0 ft (i.e., at point B) (b) x = 29.0 ft i b Note that x = 0 at support A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2. kips kips kips kips kips Use your shear-force and bending-moment diagrams to determine the maximum bending moment, Mmax, and its location, Xmax. Use the bending-moment sign convention detailed in Section 7.2. X kips-ft kips-ft kips-ft ft

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=10.0 ft, b=21.0 ft, P = 21 kips and w = 9.5 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. A Answers: Ay = 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 Answers: i (a) V= (c) V= (b) V= i Answers: a (a) M = Determine the shear force acting at each of the following locations: (a) x 10.0-ft (i.e., just to the left of point B) (b) x = 10.0+ ft (i.e., just to the right of point B) (c) x = 29.0 ft Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. (b) M= a Mmax Answers: Xmax = i i B i b B i W Determine the bending moment acting at each of the following locations: (a) x = 10.0 ft (i.e., at point B) (b) x = 29.0 ft i b Note that x = 0 at support A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2. kips kips kips kips kips Use your shear-force and bending-moment diagrams to determine the maximum bending moment, Mmax, and its location, Xmax. Use the bending-moment sign convention detailed in Section 7.2. X kips-ft kips-ft kips-ft ft

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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 a=10.0 ft, b=21.0 ft, P = 21 kips and w = 9.5 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. y Answers: Ay= Cy= Answers: 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.) (a) V= (b) V= (c) V= Answers: (a) M = a (b) M = a Answers: Mmax i i Xmax = i Determine the shear force acting at each of the following locations: (a) x = 10.0-ft (i.e., just to the left of point B) (b) x = 10.0+ ft (i.e., just to the right of point B) (c) x = 29.0 ft Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. P i i B P = i W B i b W b kips kips Determine the bending moment acting at each of the following locations: (a) x 10.0 ft (i.e., at point B) (b) x = 29.0 ft Note that x = 0 at support A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2. kips kips kips с kips-ft kips-ft C Use your shear-force and bending-moment diagrams to determine the maximum bending moment, Mmax, and its location, Xmax. Use the bending-moment sign convention detailed in Section 7.2. X Cy kips-ft ft 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=10.0 ft, b=21.0 ft, P = 21 kips and w = 9.5 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. y Answers: Ay= Cy= Answers: 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.) (a) V= (b) V= (c) V= Answers: (a) M = a (b) M = a Answers: Mmax i i Xmax = i Determine the shear force acting at each of the following locations: (a) x = 10.0-ft (i.e., just to the left of point B) (b) x = 10.0+ ft (i.e., just to the right of point B) (c) x = 29.0 ft Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. P i i B P = i W B i b W b kips kips Determine the bending moment acting at each of the following locations: (a) x 10.0 ft (i.e., at point B) (b) x = 29.0 ft Note that x = 0 at support A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2. kips kips kips с kips-ft kips-ft C Use your shear-force and bending-moment diagrams to determine the maximum bending moment, Mmax, and its location, Xmax. Use the bending-moment sign convention detailed in Section 7.2. X Cy kips-ft ft X
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