For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment Mfor any location in the beam. (Place the origin at point A.) Let a-3.25 m, b=4.75 m, Pg = 35kN, and Pc = 80kN. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GOexercise.Answers:Ay=Dy =aM.BaPBCalculate the reaction forces Ay and Dy acting on the beam. Positive values for the reactions are indicated by the directions of thered arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.)PBPcaPckNbKNDbDXDX

Answered: Image /qna-images/answer/26f83c4e-05c2-4205-bff8-21b7fc28c80a.jpg

alculate the reaction forces Ay and Dy acting on the beam. Positive values for the reactions are indi ed arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the PR Pr

alculate the reaction forces Ay and Dy acting on the beam. Positive values for the reactions are indi ed arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the PR Pr

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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Concept explainers

Bending Moment

In general, we can define the bending moment as the reaction induced when a certain amount of load or force is applied to an element which makes it bend.

Question

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-3.25 m, b=4.75 m, Pg = 35kN, and Pc = 80kN. 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.
Answers:
Ay=
Dy =
a
M.
B
a
PB
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.)
PB
Pc
a
Pc
kN
b
KN
D
b
D
X
D
X

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Determine the shear force acting at each of the following locations:
(a) x = 2 m
(b) x = 4 m
(c) x = 8 m
Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2.
Answers:
(a) V=
(b) V=
(c) V=
kN
kN
kN

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