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This lecture focuses on the derivation of the Linear Momentum Balance (LMB) in a cylindrical coordinate system, demonstrating the forces due to traction on various planes and the influence of body forces. The analysis covers approximations involved in calculating forces based on the assumption of constant traction across specified planes, leading to unique results distinct from Cartesian coordinates. The conclusion emphasizes the differing equations arising in cylindrical coordinates when compared to Cartesian coordinates, setting the stage for further exploration in future lectures.
Chapter 188 sections
This lecture focuses on the derivation of the Linear Momentum Balance (LMB) in a cylindrical coordinate system, demonstrating the forces due to traction on various planes and the influence of body forces. The analysis covers approximations involved in calculating forces based on the assumption of constant traction across specified planes, leading to unique results distinct from Cartesian coordinates. The conclusion emphasizes the differing equations arising in cylindrical coordinates when compared to Cartesian coordinates, setting the stage for further exploration in future lectures.
Linear Momentum Balance involves calculations based on the cylindrical coordinate system.
Forces due to traction on cylindrical elements are determined under simplifying assumptions.
Equations derived in cylindrical coordinates differ markedly from those in Cartesian coordinates.
A principle that relates the forces acting on a body to the rate of change of momentum of that body.
A three-dimensional coordinate system where each point is defined by a radial distance, an angle, and a height along a vertical axis.
The internal force per unit area acting on the surface of an object.
A mathematical series that approximates a function by expanding it in terms of its derivatives at a particular point.
Total Questions
2
Estimated Time
4 min
Passing Score
70%
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