5. Linear Momentum Balance
The chapter delves into the essential principles of stress equilibrium equations, explaining how stress varies within a body under force and detailing the application of Newton's laws. It covers linear and angular momentum balance, emphasizing their mathematical derivation and implications for understanding body mechanics. By utilizing traction contributions and body forces, the chapter provides a framework for analyzing internal stress distributions within materials.
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Sections
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What we have learnt
- Stress equilibrium equations help determine stress distribution in a body.
- Newton's second law applied to a cuboid reveals linear momentum balance.
- Angular momentum balance is crucial for understanding the dynamics of rigid bodies.
Key Concepts
- -- Stress Equilibrium
- The balance of internal forces in a body under stress, determining the distribution and magnitude of stress at various points.
- -- Linear Momentum Balance
- An equation that relates the rate of change of linear momentum of a body to the net external forces acting on it.
- -- Angular Momentum Balance
- The principle that the net external torque on a rigid body equals the rate of change of its angular momentum.
- -- Tractions
- Forces acting over a surface area within a material that contribute to internal balance.
- -- Body Forces
- Forces acting throughout the volume of a body, such as gravitational or electromagnetic forces.
Additional Learning Materials
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