(a) derive equations for the shear force V and the bending moment M for any location in the beam. Place the origin at point A.) (b) use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Specify the values for key points on the diagrams. Wo A L

(a) derive equations for the shear force V and the bending moment M for any location in the beam. Place the origin at point A.) (b) use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Specify the values for key points on the diagrams. Wo A L

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 6.49P: Construct the shear force and bending moment diagrams for the beam shown by the area method. Neglect...

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Construct the shear force and bending moment diagrams for the beam shown by the area method. Neglect the weight of the beam.
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3.5 m, b=5.0 m, MB = 110 kN-m and MC = 145 kN-m. 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 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.)Determine the bending moment acting at each of the following locations:(a) x = 3.5– m (i.e., just to the left of B)(b) x = 3.5+ m (i.e., just to the right of B)(c) x = 8.5– m (i.e., just to the left of C)(d) x = 8.5+ m (i.e., just to the right of C)When entering your answers, use the bending moment sign convention.Answers:(a) M = kN-m.(b) M = kN-m.(c) M = kN-m.(d) M = kN-m.
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3.5 m, b=5.0 m, MB = 110 kN-m and MC = 145 kN-m. 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 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.)Determine the shear force acting at each of the following locations:(a) x = 0+ m (i.e., just to the right of point A)(b) x = 3.5– m (i.e., just to the left of B)(c) x = 3.5+ m (i.e., just to the right of B)(d) x = 12.0– m (i.e., just to the left of D)When entering your answers, use the shear force sign convention.Answers:(a) V = kN.(b) V = kN.(c) V = kN.(d) V = kN.
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 m, b=2.5 m, PB = 4 kN, PC = 4 kN, and MB = 60 kN-m. 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 Ay and MA 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.) Determine the bending moment acting at each of the following locations:(a) x = 0+ m (i.e., just to the right of fixed support A)(b) x = 4.0– m (i.e., just to the left of B)(c) x = 4.0+ m (i.e., just to the right of B)(d) x = 6.5 mWhen entering your answers, use the bending moment sign convention.Answers:(a) M =  kN-m.(b) M =  kN-m.(c) M =  kN-m.(d) M =  kN-m.
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 m, b=2.5 m, PB = 4 kN, PC = 4 kN, and MB = 60 kN-m. 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 Ay and MA 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 =    kN, MA =    kN-m.
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3.5 m, b=5.0 m, MB = 110 kN-m and MC = 145 kN-m. 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 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.)Answers: Ay =    kN, Dy =    kN.
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 m, b=2.5 m, PB = 4 kN, PC = 4 kN, and MB = 60 kN-m. 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 Ay and MA 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 = kN, MA = kN-m. Determine the shear force acting at each of the following locations:(a) x = 0+ m (i.e., just to the right of fixed support A)(b) x = 4.0– m (i.e., just to the left of B)(c) x = 4.0+ m (i.e., just to the right of B)(d) x = 6.5– m (i.e., just to the left of C)When entering your answers, use the shear force sign convention.Answer:(a) V = kN.(b) V = kN.(c) V = kN.(d) V = kN.
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let o-1.5m.b=3.5 m.w=50 kN/m and P = 45 kN. 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. C Calculate the reaction forces A, and D, 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: A, b KN, D, KN.
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=11 ft, b=6 ft and w = 12 kips/ft.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.) Use the graphical method to determine the bending moment acting at each of the following locations:(a) x = 8.2 ft(b) x = 11 ft(c) x = 13.6 ftWhen entering your answers, use the bending moment sign convention.Answers:(a) M = kip-ft.(b) M = kip-ft.(c) M = kip-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…
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=11 ft, b=6 ft and w = 12 kips/ft.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 = kips, Cy = kips.
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a-9 ft, b-6 ft and w=10.5 kips/ft. 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.) Answer: (a) Vi (b) V = i (c) V- a Answers: A, kips, Cy Determine the shear force acting at each of the following locations: (a) x = 0+ ft (i..., just to the right of support A) (b) x-9 ft (c)x=13ft When entering your answers, use the shear force sign convention. kips. kips. kips. b (a) M- (b) M- (c) M-i С Cy The shear-force diagram crosses the V = 0 axis between points A and B. Determine the location x where V = 0 kips. Answer:x-i ft. kip-ft. kip-ft. kip-ft. kips. Determine the maximum bending moment that acts anywhere in the beam. When entering your answer, use the bending moment sign convention.…