Problem 2: Given the beam below, with support settlements. Support A is a fixed support that experiences "support settlement” in the form of a clockwise rotation of 0.003 rad. Support B is a roller which experiences support settlement (downward) of 0.3 in. (0.025 ft.). EI = 50,000 kip-ft.² 0.003 rad A w = 4 kips/ft B 0.3" 8' C Required: • Evaluate all support reactions Draw the Shear Diagram (with values) Draw the Moment Diagram (with values) Sketch the deflected shape Additional solution requirements: • Consider [By] as the redundant. Consider a sign convention of downward positive. Use Virtual Work to evaluate all deflection terms (including the flexibility coefficient). When sketching deflected shape, since the beam has support settlements, you should include the support settlements in the final deflected shape – in other words, show the support at A rotated, but remember that the beam frames into the support at a 90 degree angle to the ROTATED support. Additionally, show the point B at 0.3" below the original position. -
Problem 2: Given the beam below, with support settlements. Support A is a fixed support that experiences "support settlement” in the form of a clockwise rotation of 0.003 rad. Support B is a roller which experiences support settlement (downward) of 0.3 in. (0.025 ft.). EI = 50,000 kip-ft.² 0.003 rad A w = 4 kips/ft B 0.3" 8' C Required: • Evaluate all support reactions Draw the Shear Diagram (with values) Draw the Moment Diagram (with values) Sketch the deflected shape Additional solution requirements: • Consider [By] as the redundant. Consider a sign convention of downward positive. Use Virtual Work to evaluate all deflection terms (including the flexibility coefficient). When sketching deflected shape, since the beam has support settlements, you should include the support settlements in the final deflected shape – in other words, show the support at A rotated, but remember that the beam frames into the support at a 90 degree angle to the ROTATED support. Additionally, show the point B at 0.3" below the original position. -
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Please solve and show all of your work. Thank you for your help.
![Problem 2:
Given the beam below, with support settlements. Support A is a fixed support that experiences
"support settlement” in the form of a clockwise rotation of 0.003 rad. Support B is a roller which
experiences support settlement (downward) of 0.3 in. (0.025 ft.). EI = 50,000 kip-ft.²
0.003 rad
A
w = 4 kips/ft
B
0.3"
8'
C
Required:
•
Evaluate all support reactions
Draw the Shear Diagram (with values)
Draw the Moment Diagram (with values)
Sketch the deflected shape
Additional solution requirements:
•
Consider [By] as the redundant. Consider a sign convention of downward positive.
Use Virtual Work to evaluate all deflection terms (including the flexibility coefficient).
When sketching deflected shape, since the beam has support settlements, you should
include the support settlements in the final deflected shape – in other words, show the
support at A rotated, but remember that the beam frames into the support at a 90 degree
angle to the ROTATED support. Additionally, show the point B at 0.3" below the
original position.
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0655393b-8df3-4633-b13c-e0d6983d2306%2Fa7b3e782-3d46-4d45-88eb-c99c8c6b407e%2F16tm12c_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 2:
Given the beam below, with support settlements. Support A is a fixed support that experiences
"support settlement” in the form of a clockwise rotation of 0.003 rad. Support B is a roller which
experiences support settlement (downward) of 0.3 in. (0.025 ft.). EI = 50,000 kip-ft.²
0.003 rad
A
w = 4 kips/ft
B
0.3"
8'
C
Required:
•
Evaluate all support reactions
Draw the Shear Diagram (with values)
Draw the Moment Diagram (with values)
Sketch the deflected shape
Additional solution requirements:
•
Consider [By] as the redundant. Consider a sign convention of downward positive.
Use Virtual Work to evaluate all deflection terms (including the flexibility coefficient).
When sketching deflected shape, since the beam has support settlements, you should
include the support settlements in the final deflected shape – in other words, show the
support at A rotated, but remember that the beam frames into the support at a 90 degree
angle to the ROTATED support. Additionally, show the point B at 0.3" below the
original position.
-
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