A beam supports both a uniform distributed load and a concentrated force, as shown in the figure below. The 0 ft to L₂ = 6 ft to the right uniform distributed load has a magnitude q = 80 lb/ft and extends from L₁ of point A. The concentrated force has a magnitude F = 300 lb, is inclined by an angle 0 = 40°, and acts L3= 10 ft to the left of point B. The beam has an overall length L = 20 ft, and is held in equilibrium by a pin at point A and a roller at point B. Neglect the height and weight of the beam for this analysis. Determine the support reactions at points A and B. Note: Express your answers following the standard sign convention for the coordinate system shown. A₂ = A₁ = By= X 229.8 432.418 240.418 L₂ q lb lb lb ✓100% ? X0% ? X0% 8 L3 77777
A beam supports both a uniform distributed load and a concentrated force, as shown in the figure below. The 0 ft to L₂ = 6 ft to the right uniform distributed load has a magnitude q = 80 lb/ft and extends from L₁ of point A. The concentrated force has a magnitude F = 300 lb, is inclined by an angle 0 = 40°, and acts L3= 10 ft to the left of point B. The beam has an overall length L = 20 ft, and is held in equilibrium by a pin at point A and a roller at point B. Neglect the height and weight of the beam for this analysis. Determine the support reactions at points A and B. Note: Express your answers following the standard sign convention for the coordinate system shown. A₂ = A₁ = By= X 229.8 432.418 240.418 L₂ q lb lb lb ✓100% ? X0% ? X0% 8 L3 77777
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter4: Shear Forces And Bending Moments
Section: Chapter Questions
Problem 4.5.27P: The simple beam ACE shown in the figure is subjected to a triangular load of maximum intensity q0=...
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![A beam supports both a uniform distributed load and a concentrated force, as shown in the figure below. The
uniform distributed load has a magnitude q = 80 lb/ft and extends from L₁ = 0 ft to L₂ = 6 ft to the right
of point A. The concentrated force has a magnitude F 300 lb, is inclined by an angle 0 = 40°, and acts
L3= 10 ft to the left of point B. The beam has an overall length L = 20 ft, and is held in equilibrium by a pin
at point A and a roller at point B. Neglect the height and weight of the beam for this analysis. Determine the
support reactions at points A and B.
Note: Express your answers following the standard sign convention for the coordinate system shown.
A
777
A₂ =
A₁ =
By =
X
229.8
L₁
432.418
240.418
L₂
q
L
lb
lb
lb
? ✔100%
? *0%
7 X0%
Ө
L3
F
B
77](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee563bfe-badf-4a9d-9a7e-d47066dc4e0e%2F6cc7ee33-bfca-4c78-bb00-ba233ee5c8ee%2Fiwkywvn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A beam supports both a uniform distributed load and a concentrated force, as shown in the figure below. The
uniform distributed load has a magnitude q = 80 lb/ft and extends from L₁ = 0 ft to L₂ = 6 ft to the right
of point A. The concentrated force has a magnitude F 300 lb, is inclined by an angle 0 = 40°, and acts
L3= 10 ft to the left of point B. The beam has an overall length L = 20 ft, and is held in equilibrium by a pin
at point A and a roller at point B. Neglect the height and weight of the beam for this analysis. Determine the
support reactions at points A and B.
Note: Express your answers following the standard sign convention for the coordinate system shown.
A
777
A₂ =
A₁ =
By =
X
229.8
L₁
432.418
240.418
L₂
q
L
lb
lb
lb
? ✔100%
? *0%
7 X0%
Ө
L3
F
B
77
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