(c) V= i kips

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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 a=10.0 ft, b=21.0 ft, P = 21 kips and w = 9.5 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.
y
Answers:
Ay=
Cy=
Answers:
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.)
(a) V=
(b) V=
(c)
V =
Answers:
a
(a) M =
(b) M =
a
Answers:
i
Mmax
i
i
(a) x 10.0 ft (i.e., at point B)
(b) x = 29.0 ft
Xmax =
Determine the shear force acting at each of the following locations:
(a) x = 10.0-ft (i.e., just to the left of point B)
(b) x = 10.0+ ft (i.e., just to the right of point B)
(c) x = 29.0 ft
Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2.
P
i
B
P
i
= i
B
W
i
b
W
b
kips
kips
Determine the bending moment acting at each of the following locations:
kips
Note that x = 0 at support A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2.
kips
kips
с
kips-ft
kips-ft
C
X
Cy
Use your shear-force and bending-moment diagrams to determine the maximum bending moment, Mmax, and its location, Xmax.
Use the bending-moment sign convention detailed in Section 7.2.
kips-ft
ft
X
ANSWER ONLY THIS PART
119.70 IS WRONG
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 a=10.0 ft, b=21.0 ft, P = 21 kips and w = 9.5 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. y Answers: Ay= Cy= Answers: 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.) (a) V= (b) V= (c) V = Answers: a (a) M = (b) M = a Answers: i Mmax i i (a) x 10.0 ft (i.e., at point B) (b) x = 29.0 ft Xmax = Determine the shear force acting at each of the following locations: (a) x = 10.0-ft (i.e., just to the left of point B) (b) x = 10.0+ ft (i.e., just to the right of point B) (c) x = 29.0 ft Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. P i B P i = i B W i b W b kips kips Determine the bending moment acting at each of the following locations: kips Note that x = 0 at support A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2. kips kips с kips-ft kips-ft C X Cy Use your shear-force and bending-moment diagrams to determine the maximum bending moment, Mmax, and its location, Xmax. Use the bending-moment sign convention detailed in Section 7.2. kips-ft ft X ANSWER ONLY THIS PART 119.70 IS WRONG
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