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Questions and Answers
What must be true for a rigid body to be in equilibrium?
What must be true for a rigid body to be in equilibrium?
Which type of support can develop three unknown reactions?
Which type of support can develop three unknown reactions?
What characterizes a completely constrained rigid body?
What characterizes a completely constrained rigid body?
What distinguishes statistically determinate systems from statistically indeterminate systems?
What distinguishes statistically determinate systems from statistically indeterminate systems?
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What is true about pin connections in a rigid body?
What is true about pin connections in a rigid body?
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Study Notes
Rigid Body Statics
- Statics calculates external forces on rigid bodies at equilibrium.
- A rigid body is a combination of many particles fixed relative to each other.
Conditions of Rigid-body Equilibrium
- Concurrent forces act on a particle.
- Non-concurrent forces are also considered for rigid body equilibrium, ensuring it doesn't rotate.
- Net force and moment about any point must equal zero for equilibrium.
Support Reactions
- Supports preventing translation create a reaction force in that direction.
- Supports preventing rotation create a couple moment.
Types of Supports and Unknown Reactions
- Cables: 1 unknown
- Contacting Surfaces: 1 unknown
- Roller Support: 1 unknown
- Pin Support: 2 unknowns
- Slider/Constrained Pin: 1 unknown
- Fixed Support: 3 unknowns
Reactions and Constraints
- Completely Constrained: Rigid body cannot move
- Partially Constrained: Constraints aren't sufficient to prevent the body from moving
- Statically Determinate: When enough equilibrium equations can solve for unknowns.
- Statically Indeterminate: When more unknowns than equilibrium equations.
- Structures should be optimally constrained and determinate.
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Description
This quiz tests your understanding of rigid body statics, including conditions for equilibrium, types of supports, and reaction forces. Assess your knowledge on how different forces and constraints affect rigid bodies in static conditions.
