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Statics

Statics. Nels Madsen April 19, 2006. Concepts. Mechanical Systems Forces; External, Distributed, Resultant Moments; Couples Action & Reaction Equilibrium S F = 0, S M = 0 2 Force Members Trusses Friction Fluid Statics. More Concepts. Centroids, Area Moments of Inertia

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Statics

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  1. Statics Nels Madsen April 19, 2006

  2. Concepts • Mechanical Systems • Forces; External, Distributed, Resultant • Moments; Couples • Action & Reaction • Equilibrium S F = 0, S M = 0 • 2 Force Members • Trusses • Friction • Fluid Statics

  3. More Concepts • Centroids, Area Moments of Inertia • Shear and Bending Moment Diagrams

  4. Tools • Free Body Diagrams • Vector manipulations (addition, scalar multiplication, components, dot & cross products) • Moments (vector cross-products) • Resultant forces and moments (vector additions) • Algebra

  5. Procedures • 1. Define Mechanical System • Specify included objects • 2. Draw free body diagram • External forces exploiting action/reaction • 3. Construct equations • Sum forces, moments, friction as needed. • 4. Manipulate Equations • Repeat as necessary with additional mechanical systems

  6. Questions • Anything on the previous slides that introduces the slightest concern or question on your part? • Questions on anything not mentioned but you think it might be related to statics? • Questions on anything?

  7. Examples • Selected from your requests and/or Sample Examinations by Lindeburg.

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