lecture 12 - rensselaer polytechnic institute · lecture 12 notes courtesy of: prof. yoav peles...
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Lecture 12Notes courtesy of: Prof. Yoav Peles
ENGR-1100 Introduction toEngineering Analysis
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Lecture Outline
• Rigid body equilibrium.
• FBD- Free Body Diagram.
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Two-dimensional reaction atsupports and connections
1. Gravitational attraction 2. Flexible cord, rope, chain, orcable
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3. Rigid link 4. Ball, roller, or rocker
5. Smooth surface 6. Smooth pin
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7. Rough surface 8. Pin in a smooth pinguide
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9a. Collar on a smooth shaft
Pin connection
9b. Collar on a smooth shaft:
Fixed connection
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ExampleDraw complete free-body diagram of the beam shown, whichhas a mass m.
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Solution
Known forces
unknown forcesP
mg
Ay
Ax 450
By
x
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Three-dimensional reaction atsupports and connections
1. Ball and socket 2. Hinge
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3. Ball bearing 4. Journal bearing
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5. Thrust bearing 6. Smooth pin and bracket
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7. Fixed support
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ExampleDraw complete free-body diagram of the bent bar shown in thefigure. The support at A is a journal bearing and the supports atB and C are ball bearings.
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Solution
Az
P1
P2
P3
x
y
z
Ay
Mz My
ByBx
Cz
Cx
Known forces
unknown forces