Use your shear force and bending moment diagrams to determine the maximum positive bending moment, Mmax, pos, the maximum negative bending moment, Mmax, neg and their respective locations, xmax, pos and xmax, neg. Use the bending-moment sign convention detailed in Section 7.2. The maximum negative bending moment is the negative moment with the largest absolute value. Enter the maximum negative bending moment as a negative value.

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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Given the data from the 2 pictures, answer the following:

Use your shear force and bending moment diagrams to determine the maximum positive bending moment, Mmax, pos, the maximum negative bending moment, Mmax, neg and their respective locations, xmax, pos and xmax, neg. Use the bending-moment sign convention detailed in Section 7.2. The maximum negative bending moment is the negative moment with the largest absolute value. Enter the maximum negative bending moment as a negative value.

 

Determine the shear force acting at each of the following locations:
(a) x = 11.5-ft (i.e., just to the left of support B)
(b)x= 11.5+ ft (i.e., just to the right of support B)
(c) x = 26.5 ft
(d) x = 27.5-ft (i.e., just to the left of support C)
Note that x = 0 at point A. When entering your answers, use the shear-force sign convention detailed in Section 7.2.
Answers:
(a) V=
(b) V=
(c) V=
(d) V=
Part 3
Your Answer
Answers:
(a) M =
-23
(b) M=
24.265625
-5.734375
-7.734375
kips
Determine the bending moment acting at each of the following locations:
(a) x 11.5 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.
-132.25
kips
6.734375
kips
Correct Answer (Used)
kips
kips-ft
kips-ft
Transcribed Image Text:Determine the shear force acting at each of the following locations: (a) x = 11.5-ft (i.e., just to the left of support B) (b)x= 11.5+ ft (i.e., just to the right of support B) (c) x = 26.5 ft (d) x = 27.5-ft (i.e., just to the left of support C) Note that x = 0 at point A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. Answers: (a) V= (b) V= (c) V= (d) V= Part 3 Your Answer Answers: (a) M = -23 (b) M= 24.265625 -5.734375 -7.734375 kips Determine the bending moment acting at each of the following locations: (a) x 11.5 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. -132.25 kips 6.734375 kips Correct Answer (Used) kips kips-ft kips-ft
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 = 2.0 kips/ft, a=11.5 ft, and b=16.0 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
Answers:
By=
Cy=
Calculate the reaction forces By 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 Bx = 0, it has been omitted from the free-body diagram.)
a
47.27
7.73
B
By
W
B
b
W
b
kips
kips
C
X
Cy
x
Transcribed Image Text: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 = 2.0 kips/ft, a=11.5 ft, and b=16.0 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 Answers: By= Cy= Calculate the reaction forces By 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 Bx = 0, it has been omitted from the free-body diagram.) a 47.27 7.73 B By W B b W b kips kips C X Cy x
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