Answered: Part 1 For the simply supported beam…

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

Answer p1 and

Part 2:

Determine the shear force acting at each of the following locations:

(a) x = 11.0- ft (i.e., just to the left of point B)
(b) x = 11.0+ ft (i.e., just to the right of point B)
(c) x = 28.5 ft
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 = ____ kips

b) V = ____ kips

c) V = ____ kips

Part 3:

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

(a) x = 11.0 ft (i.e., at point B)
(b) x = 28.5 ft

Note that x = 0 at support 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

Part 4:

Use your shear-force and bending-moment diagrams to determine the maximum bending moment, M_max, and its location, x_max. Use the bending-moment sign convention detailed in Section 7.2.

Answers:

M_max = ____ kips-ft

x_max = ____ ft

Part 1
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=11.0 ft, b=19.5 ft, P = 34 kips and w = 6.0 kips/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.
A
y
Answers:
Ay
=
Calculate the reaction forces Ay and Cy 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.)
Cy=
a
i
a
B
P
W
B
b
W
b
kips
kips
x
Cy
X

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