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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-11.5 ft, b-19.0 ft, P = 50 kips and w = 8.5 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 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.) Answers: Ay= Cy= Answers: (a) V= (b) V= (c) V= Answers: (a) M= a (b) M a Mmax B Determine the shear force acting at each of the following locations: (a) x 11.5-ft (i.e., just to the left of point B) (b)x= 11.5+ ft (i.e., just to the right of point B) (c) x = 28.5 ft Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. Xmax= kips kips W b b kips Determine the bending moment acting at each of the following locations: (a) x 11.5 ft (i.e., at point B) (b)x=28.5 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-ft kips-ft ft C Cy 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. Answers: kips-ft X

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-11.5 ft, b-19.0 ft, P = 50 kips and w = 8.5 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 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.) Answers: Ay= Cy= Answers: (a) V= (b) V= (c) V= Answers: (a) M= a (b) M a Mmax B Determine the shear force acting at each of the following locations: (a) x 11.5-ft (i.e., just to the left of point B) (b)x= 11.5+ ft (i.e., just to the right of point B) (c) x = 28.5 ft Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. Xmax= kips kips W b b kips Determine the bending moment acting at each of the following locations: (a) x 11.5 ft (i.e., at point B) (b)x=28.5 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-ft kips-ft ft C Cy 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. Answers: kips-ft X

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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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=11.5 ft, b=19.0 ft, P = 50 kips and w = 8.5 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= Cy= 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.) Answers: (a) V= (b) V= (c) V= Answers: (a) M= a (b) M= B a Answers: Mmax = B Xmax= kips W kips Determine the shear force acting at each of the following locations: (a) x = 11.5-ft (i.e., just to the left of point B) (b)x= 11.5+ ft (i.e., just to the right of point B) (c) x = 28.5 ft Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. W b b kips kips Determine the bending moment acting at each of the following locations: (a) x = 11.5 ft (i.e., at point B) (b)x= 28.5 ft kips Note that x = 0 at support A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2. kips-ft kips-ft ft C - x C C₂ kips-ft x 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.
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=11.5 ft, b=19.0 ft, P = 50 kips and w = 8.5 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= Cy= 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.) Answers: (a) V= (b) V= (c) V= Answers: (a) M= a (b) M= B a Answers: Mmax = B Xmax= kips W kips Determine the shear force acting at each of the following locations: (a) x = 11.5-ft (i.e., just to the left of point B) (b)x= 11.5+ ft (i.e., just to the right of point B) (c) x = 28.5 ft Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. W b b kips kips Determine the bending moment acting at each of the following locations: (a) x = 11.5 ft (i.e., at point B) (b)x= 28.5 ft kips Note that x = 0 at support A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2. kips-ft kips-ft ft C - x C C₂ kips-ft x 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.
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