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statics
Statics is the branch of classical mechanics that is concerned with the analysis of force and torque acting on a physical system that does not experience an acceleration, but rather is in equilibrium with its environment.
AI overview
Statics is the branch of physics that studies forces and twists (called torques) acting on objects that aren't accelerating—in other words, objects that are stationary or moving at a constant speed. It matters because understanding these balanced forces helps engineers and builders design safe structures like bridges and buildings that won't collapse or tip over.
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Described at
Statics: Introduction to Statics
engineeringstatics.org →Engineering Statics is the gateway into engineering mechanics , which is the application of Newtonian physics to design and analyze objects, systems, and structures with respect to motion, deformation, and failure. In addition to learning the subject itself, you will also develop skills in the art and practice of problem solving and mathematical modeling, skills that will benefit you throughout your engineering career. The subject is called “statics” because it is concerned with particles and rigid bodies that are in equilibrium, and these will usually be stationary, i.e. static. Forces and Other Vectors — basic principles and mathematical operations on force and position vectors. Moments and Static Equivalence — the rotational tendency of forces, and simplification of force systems. Rigid Body Equilibrium — balance of forces and moments for single rigid bodies. Internal Forces — forces and moments within beams and other rigid bodies. Your statics course may not cover all of these topics, or may move through them in a different order. Below are two examples of the types of problems you’ll learn to solve in statics. Notice that each can be described with a picture and problem statement, a free-body diagram, and equations of equilibrium. Equilibrium of a rigid body: Given the interaction forces at point 𝐶 on the upper arm of the excavator, find the internal axial force, shear force, and bending moment at point 𝐷. Figure 1.0.1. Map of how Statics builds upon the prerequisites of Calculus and Physics and then informs the later courses of Mechanics of Solids and Dynamics.
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Wikidata facts
- Image
- Beam in static equilibrium.svg
~8 min read
Article
15 sectionsContents
- History
- Background
- Force
- Moment of a force
- Moment about a point
- Varignon's theorem
- Equilibrium equations
- Moment of inertia
- Applications
- Solids
- Fluids
- See also
- Notes
- References
- External links
Statics is the branch of classical mechanics that is concerned with the analysis of force and torque acting on a physical system that does not experience an acceleration, but rather is in equilibrium with its environment.
If \textbf F is the total of the forces acting on the system, m is the mass of the system and \textbf a is the acceleration of the system, Newton's second law states that \textbf F = m \textbf a \, (the bold font indicates a vector quantity, i.e. one with both magnitude and direction). If \textbf a =0, then \textbf F = 0. As for a system in static equilibrium, the acceleration equals zero, the system is either at rest, or its center of mass moves at constant velocity.