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4: Statically Equivalent Systems

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    • 4.0: Video Introduction to Chapter 4
      Video introduction to the topics to be covered in this chapter: statically equivalent systems, and the relation between forces, moments and couples in such a system.
    • 4.1: Statically Equivalent Systems
      Definition of statically equivalent systems. Outline of how to determine if sets of forces are statically equivalent, and how to convert multiple forces into a single statically equivalent force.
    • 4.2: Resolution of a Force into a Force and a Couple
      The process for resolving a force applied at one point on a body into a force and a moment acting on another point, using the concept of couples. Includes several worked examples.
    • 4.3: Equivalent Force Couple System
      Definition of an equivalent force couple system, and how to find it for a given set of forces and moments.
    • 4.4: Distributed Forces
      Definition of distributed forces, and their classification as surface or body forces. Conventions for representing and analyzing distributed forces.
    • 4.5: Equivalent Point Load
      Definition of the equivalent point force and methods of calculating it in two and three dimensions: integration; using the centroid or center of volume. Includes several worked samples.
    • 4.6: Chapter 4 Homework Problems

    This page titled 4: Statically Equivalent Systems is shared under a CC BY-SA 4.0 license and was authored, remixed, and/or curated by Jacob Moore & Contributors (Mechanics Map) via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.

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