A beam 15 m long is simply supported at the left end and at 3 m from the right end. It carries concentrated loads of 40 and 20 kN at 6 and 9 m respectively from the left support, and another concentrated load of 50 kN at the extreme right end. Sketch and dimension the shearing force and bending moment diagrams.

A beam 15 m long is simply supported at the left end and at 3 m from the right end. It carries concentrated loads of 40 and 20 kN at 6 and 9 m respectively from the left support, and another concentrated load of 50 kN at the extreme right end. Sketch and dimension the shearing force and bending moment diagrams.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter4: Shear Forces And Bending Moments

Section: Chapter Questions

Problem 4.5.9P: A simply supported beam ABC is loaded at the end of a bracket BDE (see figure). Draw axial-force,...

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PART 1 Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3.5 m, b=2.0 m, PB = 2 kN, PC = 2 kN, and MB = 20 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. IMAGE* 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.) IMAGE* PART 2 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 = 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 = 5.5– 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. PART 3…
Draw the shear-force and bending-moment diagrams for the beam shown. PROVIDE A DETAILED AND COMPLETE SOLUTION. 1100 lb lb 400 6000 lb-ft D 2 ft B 6 ft C 2 ft 2 ft E
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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=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 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.
The simply supported beam as shown in the figure supports a concentrated force of 30 kN at B and a torque of 40 kN at D. Show the diagrams of the shear and bending moment with their respective values indicated. Disregard the weight of the beam.
A bevel gear is attached to a shaft supported by self-aligning bearings at A and B and is driven by a motor. The axial force, radial force, and tangential force are known. Assume the weight of the gear and shaft is negligible and that the bearing at A takes all the thrust load A) Draw (to scale) axial load, shaft torque, shear force(x-y and x-z), and bending moment(x-y and x-z)diagrams for the shaft B)Determine the values of axial load and torque along the shaft
For the figure shown below, compute the bending moment in section 1. Neglect the weights of the member. Note that point B is pin-connected. 50KN ... 2m 5m 60° 5m 5m
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=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.