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. 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 By = 0, it has been omitted from the free-body diagram.) "I Answers: Cy= (a) V= Answers: (b) V= a 351 (c) V= 183.54 Determine the shear force acting at each of the following locations: (a) x = 6.0-ft (l.e. just to the left of support B) (b)x= 6.0+ ft (l.e., just to the right of support B) (c) x = 25.5 ft (d) x = 26.5-ft (l.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. -120 222.561 i -360 W (d) V= -187.439 kips kips kips kips kips C kips

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. 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 By = 0, it has been omitted from the free-body diagram.) "I Answers: Cy= (a) V= Answers: (b) V= a 351 (c) V= 183.54 Determine the shear force acting at each of the following locations: (a) x = 6.0-ft (l.e. just to the left of support B) (b)x= 6.0+ ft (l.e., just to the right of support B) (c) x = 25.5 ft (d) x = 26.5-ft (l.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. -120 222.561 i -360 W (d) V= -187.439 kips kips kips kips kips C kips

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter6: Beams And Cables

Section: Chapter Questions

Problem 6.42P: For the beam AB shown in Cases 1 and 2, derive and plot expressions for the shear force and bending...

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