Answered: Use the graphical method to construct…

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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Question

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, P_B = 4 kN, P_C = 4 kN, and M_B = 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 A_y and M_A 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_x = 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 m

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.

Pg = 4 kN, Pc = 4 kN, and Mg = 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.
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
Pc
MB
C
B
A
b
a
Calculate the reaction forces A, 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 A, = 0, it has been omitted from the free-body diagram.)
PB
PC
MA
MB,
C
В
b
a
Ay
kN-m.
kN, MA =
i
Answers: Ay
i

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