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=2.50 m, b=4.25 m, Pg= 45kN, and Pc = 90kN. 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.

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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Your answer is partially correct.
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=2.50 m, b=4.25 m, Pg= 45kN, and Pc = 90kN. 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:
a
B
Ay=
Dy= i 59.21
74.189
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.)
B
a
PB
a
Pc
KN
Pc
b
KN
D
b
D
P
x
Transcribed Image Text:Your answer is partially correct. 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=2.50 m, b=4.25 m, Pg= 45kN, and Pc = 90kN. 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: a B Ay= Dy= i 59.21 74.189 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.) B a PB a Pc KN Pc b KN D b D P x
Part 4
Use your bending-moment diagram to determine the maximum bending moment, Mmax, and its location, Xmax. Use the bending-
moment sign convention detailed in Section 7.2.
Answers:
Xmax =
Mmax
=
i
i
m
kN-m
Transcribed Image Text:Part 4 Use your bending-moment diagram to determine the maximum bending moment, Mmax, and its location, Xmax. Use the bending- moment sign convention detailed in Section 7.2. Answers: Xmax = Mmax = i i m kN-m
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