Answered: For the simply supported beam subjected…

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

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 w = 19.5 kips/ft, a=6.0 ft, and b=21.5 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.

Calculate the reaction forces B_y and C_y 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 B_x = 0, it has been omitted from the free-body diagram.)

Determine the bending moment acting at each of the following locations:

(a) x = 6.0 ft (i.e., at support B)
(b) x = 26.5 ft
Note that x = 0 at point A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2.

Answers:

(a)	M =	kips-ft
(b)	M =	kips-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 = 19.5 kips/ft, a=6.0 ft, and b=21.5 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
C
a
b
Calculate the reaction forces By and C, 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 By = 0, it has been omitted from the free-body diagram.)
- B
C
a
b
B,
Cy

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