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 = 8 ft to the right of point A. The concentrated force has a magnitude F = 200 lb, is inclined by an angle = 125°, and acts L3 = 7 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 AT Ax X Ay = By L₂ ↓ = number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) q L lb lb lb ? e L3 F B 77

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 = 8 ft to the right
of point A. The concentrated force has a magnitude F = 200 lb, is inclined by an angle = 125°, and acts
L3 = 7 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
AT
Ax
X
Ay =
By
L₂
↓
= number (rtol=0.01, atol=1e-05)
number (rtol=0.01, atol=1e-05)
number (rtol=0.01, atol=1e-05)
q
L
lb
lb ?
lb ?
e
L3
F
B
77
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 = 8 ft to the right of point A. The concentrated force has a magnitude F = 200 lb, is inclined by an angle = 125°, and acts L3 = 7 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 AT Ax X Ay = By L₂ ↓ = number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) q L lb lb ? lb ? e L3 F B 77
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