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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 prevents both translation in one direction and rotation?
Which type of support prevents both translation in one direction and rotation?
What characterizes a statistically determinate structure?
What characterizes a statistically determinate structure?
Which constraint allows for rotation and has forces as reactions?
Which constraint allows for rotation and has forces as reactions?
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What type of constraint means that the rigid body could not possibly move?
What type of constraint means that the rigid body could not possibly move?
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Study Notes
Rigid Body Statics
- Statics calculates external forces acting on rigid bodies in equilibrium.
- A rigid body is a collection of particles with fixed positions relative to each other.
Conditions of Rigid-Body Equilibrium
- Concurrent forces act on a single point.
- Forces can be non-concurrent.
- Equilibrium requires zero net force and zero net moment about any point.
Support Reactions
- Supports resisting translation create reaction forces in the direction of prevention.
- Supports preventing rotation create a couple moment.
Types of Supports and Unknown Variables
- Cables - 1 unknown
- Contacting surfaces - 1 unknown
- Rollers - 1 unknown
- Pins - 2 unknowns
- Sliding pins - 1 unknown
- Fixed supports - 3 unknowns
Reactions and Moments
- Pin connections allow rotation.
- Pin reactions are forces, not moments.
Constraints and Determinacy
- Completely constrained: Rigid body cannot move.
- Partially constrained: Insufficient constraints for movement prevention.
- Statically determinate: Enough equilibrium equations to solve unknown forces.
- Statically indeterminate: More unknowns than equilibrium equations.
- Structures aim for complete constraint and static determinacy.
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Description
Test your understanding of rigid body statics and the conditions for equilibrium. This quiz focuses on support reactions, types of supports, and the principles governing forces and moments. Challenge your knowledge with scenario-based questions and ensure you grasp the core concepts of statics.
