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-3.5 kips/ft, a-10.5 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. 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 Bx = 0, it has been omitted from the free-body diagram.) Answers: B 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. Mmax.pos Mmax, neg B 36.3087 -192.9375 kips-ft.. Xmax, pos kips-ft, Xmax, neg 11.4454 14.1975 ft 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-3.5 kips/ft, a-10.5 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. 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 Bx = 0, it has been omitted from the free-body diagram.) Answers: B 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. Mmax.pos Mmax, neg B 36.3087 -192.9375 kips-ft.. Xmax, pos kips-ft, Xmax, neg 11.4454 14.1975 ft ft
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
Related questions
Question
PRIOR ANSWERS:
Reaction Forces:
By = 76.809
Cy = 15.94
Shear Forces:
V (× = 10.5- ft (i.e., just to the left of support B)) = -36.75 kips
V ( x = 10.5+ ft (i.e., just to the right of support B)) = 40.059 kips
V (x = 25.5 ft) = -12.441 kips
V (x = 26.5- ft (i.e.. just to the left of support C))= = -15.941 kips
Bending moment:
M (x = 10.5 ft (i.e., at support B)) = -192.9375 kips-ft
M (x = 25.5 ft) = 14.1975 kips-ft
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 = 3.5 kips/ft, a-10.5 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:
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 Bx = 0, it has been omitted from the free-body diagram.)
Mmax, pos
B
B₂
Mmax, neg
B
W
36.3087
W
b
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.
-192.9375
b
X
Cy
x
kips-ft., Xmax, pos
kips-ft, Xmax, neg
11.4454
14.1975
ft
ft
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