Systems of Forces on Rigid Bodies - Engineering Mechanics (Statics)
Analysis of systems of forces on rigid bodies in two and three dimensions - moments of forces about a point or axis, couples and equivalent systems of forces.
13
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Course Chapters
1Introduction
Welcome to the course and review of fundamental concepts - meaning of rigid bodies, principle of transmissibility of forces, vector products, etc.
2Moment of a Force
Meaning, scalar and vector forms of the moment of a force about a point and its relation to the moment about an axis; Varignon's theorem.
3Moment about a Point in Two Dimensions
Meaning and calculation of the moment of a force about a point in two dimensions.
4Moment about a Point in Three Dimensions
Meaning and calculation of moment of a force about a point in three dimensions.
5Moment about an Axis
Meaning and calculation of the moment of a force about an arbitrary axis.
6Couples
Meaning and analysis of couples, moments of couples, and couple vectors.
7Force-Couple Systems
Analysis of simple force-couple systems - resolution of a single force into a force and a couple, and reduction of a force-couple system to a single equivalent force.
8General Systems of Forces
Simplifying general systems of forces and couples on rigid bodies.
9Distributed Loads
Simplifying systems of forces on rigid bodies involving distributed loads.