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 w = 19.5 kips/ft, a=7.0 ft, and b=18.0 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 A a B B₁ 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.) W B b W X Cy X

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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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 w = 19.5 kips/ft, a=7.0 ft, and b=18.0 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
B
A
W
B
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.)
b
W
X
b
x
Transcribed Image Text: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 w = 19.5 kips/ft, a=7.0 ft, and b=18.0 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 B A W B 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.) b W X b x
Part 2
Determine the shear force acting at each of the following locations:
(a) x = 7.0-ft (i.e., just to the left of support B)
(b) x = 7.0+ ft (i.e., just to the right of support B)
(c) x = 24.0 ft
(d) x = 25.0-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=
i
(b) V= i
(c) V= i
(d) V= i
kips
kips
kips
kips
Transcribed Image Text:Part 2 Determine the shear force acting at each of the following locations: (a) x = 7.0-ft (i.e., just to the left of support B) (b) x = 7.0+ ft (i.e., just to the right of support B) (c) x = 24.0 ft (d) x = 25.0-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= i (b) V= i (c) V= i (d) V= i kips kips kips kips
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