12.0- ft (i.e., just to the left of point B) (b) x = 12.0+ ft (i.e., just to the right of point B) (c) x = 31.0 ft Note that x = 0 at support

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Determine the shear force acting at each of the following locations:

(a) x = 12.0- ft (i.e., just to the left of point B)
(b) x = 12.0+ ft (i.e., just to the right of point B)
(c) x = 31.0 ft
Note that = 0 at support A.  When entering your answers, use the shear-force sign convention detailed in Section 7.2.

Answers:

(a) V =  kips
(b) V =  kips
(c) V =  kips

Determine the bending moment acting at each of the following locations:

(a) x = 12.0 ft (i.e., at point B)
(b) x = 31.0 ft

Note that x = 0 at support A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2.

Answers:

(a) M =  kips-ft
(b) M =  kips-ft

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.

Answers:

Mmax =  kips-ft
xmax =  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 a=12.0 ft, b=21.0 ft, P = 20 kips and w = 8.5 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.
В
a
Calculate the reaction forces A,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.)
B
a
C,
Answers:
Ay =
69.522727272727273
kips
Cy =
kips
128.97727272727273
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=12.0 ft, b=21.0 ft, P = 20 kips and w = 8.5 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. В a Calculate the reaction forces A,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.) B a C, Answers: Ay = 69.522727272727273 kips Cy = kips 128.97727272727273
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