Statics

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About Course

Statics is the most fundamental course in Mechanics.

In this Statics course, you will learn the conditions under which an object or a structure subjected to time-invariant (static) forces is in equilibrium – i.e. the conditions under which it remains stationary or moves with a constant velocity-.

You will also learn how to calculate the reaction forces as well as the internal forces experienced throughout the structure so that later you can properly design and size the foundation and the members of the structure to assure the structure’s safety and serviceability.

This course is suitable for learners with an interest in different Engineering disciplines such as civil engineering, architecture, mechanical engineering, aerospace.

Non-engineering disciplines may also find the course very useful, from archaeologists who are concerned about the stability of their excavation sites to dentists interested in understanding the forces transmitted through dental bridges, to orthopedic surgeons concerned about the forces transmitted through the spine, or a hip or knee joint.

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What Will You Learn?

  • Understanding Forces and Moments
  • Equivalent Systems of Forces and Equilibrium
  • Stability and Static Determinacy
  • Trusses
  • Area properties and Moments of Inertia
  • Internal Force Diagrams
  • Static Analysis of a Structure

Course Content

Statics

  • Intro and Newton’s Laws, Scalers, and Vectors
    00:00
  • Vector Language, Intro to Vector Addition
    00:00
  • The Triangle Rule for Adding Vectors to Find a Resultant
    00:00
  • Vector Addition, Triangle Rule, and Cartesian and Vector Notation
    00:00
  • 2D Find Resultant Vectors, Triangle Rule, Cartesian Components
    00:00
  • Finding Vector Components in Non-Orthogonal Systems
    00:00
  • Most Missed Topic in Statics, Cartesian Coordinates
    00:00
  • Intro to 3D Vectors, Deriving Blue Triangle Equations
    00:00
  • Drill Problems Practicing Blue Triangle Problems
    00:00
  • Directional Cosines for 3D Vectors and Components
    00:00
  • Finding 3D Vectors When Given Coordinates
    00:00
  • Statics About a Particle, 3D Resultant of Vector Forces
    00:00
  • Using Scaler Equations to Solve for 2 Unknowns
    00:00
  • Proving There’s no Such Thing As Straight Strings
    00:00
  • Equilibrium of a Particle, 2D Forces Around a Pulley
    00:00
  • 2D Equilibrium of a Particle With Springs
    00:00
  • 2D Statics on a Particle, Multiple Free Body Diagrams
    00:00
  • 3D Statics About a Particle, Calculating Unit Vectors
    00:00
  • 3 Equations and Unknowns, 3D Vectors
    00:00
  • Introduction to Moments rXF, Torque
    00:00
  • 2D Moment About a Point, 2 Methods
    00:00
  • 2D Min Max Moment Calculation
    00:00
  • 3D Moment About a Point and rXF Example
    00:00
  • Moment About a Specified Axis
    00:00
  • Moment of a Couple in 3D
    00:00
  • Statics: Exam 1 – Review Summary
    00:00
  • Statics: Exam 1 Review Problem 1, 3D Vector Addition
    00:00
  • Statics: Exam 1 Review Problem 2, 2D Forces on a Particle
    00:00
  • Statics: Exam 1 Review Problem 3, 3D Statics on a Particle
    00:00
  • Statics: Exam 1 Review Problem 4, 2D Moment Example
    00:00
  • Statics: Exam1 Review Problem 5, 3D rXF Moment Example
    00:00
  • Equivalent Systems Simplification, Burrito Force!
    00:00
  • Equivalent Systems, Further Simplification
    00:00
  • 2D Reaction at Supports, Example Problem
    00:00
  • 3D Reaction Forces Illustrated
    00:00
  • System Equilibrium, 2D Reactions at the Supports
    00:00
  • Fixed Support 2D Reaction Force Problem
    00:00
  • 2D Reactions at the Supports With a Pulley
    00:00
  • Tipping Problem, Reactions in 2D
    00:00
  • 3D Equilibrium of a Rigid Body, 6 Equations
    00:00
  • I Need Your Help! Thank You All!
    00:00
  • 3D Reaction Force Problem, Rigid Body Equilibrium
    00:00
  • Intro to Trusses, Frames, and Machines
    00:00
  • Trusses, Method of Joints
    00:00
  • Trusses, The Method of Sections
    00:00
  • Trusses, How to Find a Zero Force Member, Method of Joints
    00:00
  • Trusses, Method of Sections, Truss Tips and Tricks
    00:00
  • Truss Problem, The Combo Problem
    00:00
  • Frame Problem with 2 (Two) Force Members
    00:00
  • More Difficult Frame Problem
    00:00
  • Machine Problem, You Must Know How to do This!
    00:00
  • Pulley Palooza Problems
    00:00
  • Statics: Exam 2 Review Summary
    00:00
  • Statics: Exam 2 Review Problem 1; Equivalent Systems
    00:00
  • Statics: Exam 2 Review Problem 2; 2D Reaction Forces
    00:00
  • Statics: Exam 2 Review Problem 3; 3D Reaction Example
    00:00
  • Statics: Exam 2 Review Problem 4; Truss Combo Method
    00:00
  • Statics: Exam 2 Review Problem 5; Frame Example
    00:00
  • Intro to Centroids, Where is the Center of Texas?
    00:00
  • Intro to Centroid by Calculus Method, Flip the Strip Method
    00:00
  • Centroids by Calculus Example Problem
    00:00
  • Very Challenging Centroid by Calculus Problem
    00:00
  • Intro, Centroids by Composite Shapes, Table Method
    00:00
  • Centroid Using Composite Shapes, Center of Area
    00:00
  • Centroid of a Volume, Table Method
    00:00
  • Centroid of Mass, Body with Different Densities
    00:00
  • The Theorem of Pappus Guldinus, Volume and Surface Area
    00:00
  • Distributed Loads Using Centroids
    00:00
  • Introduction to Internal Forces, M N V
    00:00
  • Internal Forces M, N, V on a Frame Problem
    00:00
  • Shear Moment Diagram, The Graphic Method
    00:00
  • Shear Moment Diagram Problem with Moments
    00:00
  • Shear Moment Diagram, The Equation Method
    00:00
  • Friction is Fun, Box on an Incline
    00:00
  • Friction Slipping Tipping Problem
    00:00
  • Friction on Wedges and Screws
    00:00
  • Challenging Friction Wedge Problem with Roller
    00:00
  • Belt Friction Example Problem
    00:00
  • Statics: Exam 3 Review Summary
    00:00
  • Statics: Exam 3 Review Problem 1, Centroid Composite Shape
    00:00
  • Statics: Exam 3 Review Problem 2, Centroid by Calculus
    00:00
  • Statics: Exam 3 Review Problem 3, Theorem of Pappus Guldinus
    00:00
  • Statics: Exam 3 Review Problem 4, Internal Forces M, N, V
    00:00
  • Statics: Exam 3 Review Problem 5, Shear Moment Diagram Example
    00:00
  • Statics: Exam 3 Review Problem 6, Simple Friction is Fun
    00:00
  • Statics: Exam 3 Review Problem 7, Friction Slipping Tipping
    00:00
  • Statics: Exam 3 Review Problem 8, Friction Wedge Example
    00:00
  • Introduction to Area Moment of Inertia
    00:00
  • Parallel Axis Theorem, Area Moment of Inertia
    00:00
  • Moment of Inertia, Composite Shape Method
    00:00
  • Area Moment of Inertia, Calculus Method
    00:00

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