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=7.5 ft, b=23.0 ft, P = 50 kips and w = 7.5 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.
Part 2
Determine the shear force acting at each of the following locations:
(a) x = 7.5-ft (i.e., just to the left of point B) (b) x = 7.5+ 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.
Part 3
Determine the bending moment acting at each of the following locations:
(a) x = 7.5 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.
Part 4
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.
![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=7.5 ft, b=23.0 ft, P = 50 kips and w = 7.5 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.
a
A
a
B
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.)
P
b
B
W
b
C
X
Cy
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e476474-0e1a-4624-a6da-a05ee60973cb%2F96f68982-13c1-4c77-ac48-91a6a56055e8%2Fgretkdl_processed.jpeg&w=3840&q=75)
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