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Equilibrium Analysis of 3D Force Systems: Statics Lecture Guide

Learn the principles of equilibrium for particles in 3D force systems to solve engineering problems effectively. Explore the steps for analysis, including free-body diagrams and equations of equilibrium.

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Equilibrium Analysis of 3D Force Systems: Statics Lecture Guide

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  1. CE 201 - Statics Lecture 9

  2. Three-Dimensional Force Systems Particle will be in equilibrium if F = 0 In 3-D problems, this can be expressed as: Fx i + Fy j + Fz k = 0 Therefore, for a particle to be in equilibrium: Fx = 0 Fy = 0 Fz = 0

  3. Procedure for Analysis • Free-Body Diagram • Establish the x, y, and z axes • Label known and unknown forces (magnitude and direction) • Assume the direction of unknowns • Equations of Equilibrium • For any force that can be resolved into x, y, and z components, use Fx = 0; Fy = 0; and Fz = 0. • If problem looks difficult, express forces in Cartesian vector form and use F = 0 and set i, j, and k components to zero.

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