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Mechanics 1: Statics

brought to you by StillKinetic
taught by Steve Pomroy

Engineering Mechanics 1: Statics is about the branch of mechanics known as Statics. This is the branch of mechanics concerned with systems in equilibrium. These systems are not accelerating, but are stationary or moving at a constant velocity. Analysis in statics is used to find useful information such as the support reactions holding a structure in place or the internal forces in structural members.

Topics covered in this course include: a comprehensive review of vector algebra; equilibrium; Newton's and Euler's Laws; forces and moments; objects in equilibrium; static structures (including trusses and frames); properties of areas; distributed forces; and internal forces.

After completing this course, you'll be able to conduct a basic structural analysis of statically determinate systems, and you'll be able to recognize statically indeterminate systems and complete a partial analysis of such systems. Also, you'll have the background you'll need to move on to more advanced topics of mechanics, including Dynamics, Mechanics of Materials, and Fluid Mechanics.

This course includes video lectures, PDF support documents, recommended practice exercises, and a series of multiple choice quizzes. The course could be completed in as little as 2 weeks, but we recommend taking at least 4 weeks, and perhaps as long as 12 weeks to work through all of the material.

What Will You Learn?

  • Define and describe "Mechanics", and particularly, "Statics".
  • Identify, interpret, and explain vector quantities.
  • Apply vector operations, including addition, subtraction, dot products, and cross products.
  • Defineand identify forces and moments acting on a structure.
  • Distinguish between internal and external forces, and between contact and body forces.
  • Identify, describe, and quantify common forces such as friction and weight.
  • Sketch Free-Body Diagrams of objects and structures.
  • Categorize force systems and identify statically equivalent systems.
  • Identify equilibrium requirements and find support reactions for concurrent and non-concurrent force systems.
  • Identify and categorize structural members.
  • Define and identify truss structures.
  • Analyze and quantify the loads carried by truss members using the method of joints and the method of sections.
  • Define and identify frame structures.
  • Analyze and quantify the loads carried by frame members.
  • Define and calculate centroids.
  • Define and calculate first and second moments of area.
  • Find statically equivalent force systems for distributed loads.
  • Given the external load on a structural member, find the internal forces and moments carried by that member.

What Do You Need?

  • High school level algebra.
  • High school level trigonometry.
  • Some prior exposure to physics at the high school level would be helpful, but is not necessary.
  • Some prior exposure to basic calculus would be helpful during some lessons, but is not necessary.

Who Is This Course For?

  • Engineering students preparing for more advanced structural analysis.
  • Engineering students looking for extra help with their Statics course.
  • Engineers from non-mechanical disciplines looking for structures oriented professional development.
  • Anybody interested in basic structural analysis.

Course Features

  • 73 Videos

    Over 20 hours of lecture materials and problem demonstrations

  • 29 Documents

    Practice Problems, some with solutions provided

  • 18 Quizzes, 2 Exams

    Twenty opportunities to measure your progress

  • 4 Projects

    3 Computer Projects and 1 Design Project to apply your new skills

  • 60 hours

    Approximately 60 hours will be required to work through course material.

Statics Outline

  • 1


    • What is Mechanics?

    • Problems we can Solve

  • 2

    Vectors and Vector Algebra

    • Vectors: Definition and Description

    • Basic operations

    • DEMO PROBLEMS: Basic Operations

    • HOMEWORK: Basic Operations

    • Vector Conversions in 2 Dimensions

    • DEMO PROBLEMS: Conversions in 2D

    • Vector Magnitudes and Directions in 3 Dimensions

    • DEMO PROBLEMS: Magnitudes and Directions in 3D

    • The Dot Product

    • DEMO PROBLEMS: The Dot Product

    • The Cross Product

    • DEMO PROBLEMS: The Cross product

    • Cross Product Mnemonics

    • DEMO PROBLEMS: Cross Product Mnemonics

    • Triple Products

    • DEMO PROBLEMS: Triple Products

  • 3

    Forces and Moments

    • Definition and Description of Force

    • Special Case: Weight

    • Special Case: Friction

    • DEMO PROBLEMS: Forces

    • Moments in 2 Dimensions

    • Special Case: Springs

    • Moments in 3 Dimensions

    • Moments About a Line

    • DEMO PROBLEMS: Forces and Moments

    • Statically Equivalent Systems

    • DEMO PROBLEMS: Static Equivalence

  • 4

    Objects in Equilibrium

    • Free Body Diagrams

    • DEMO PROBLEMS: Free Body Diagrams

    • Equilibrium of Concurrent Forces

    • DEMO PROBLEMS: Equilibrium of Concurrent Forces

    • Equilibrium of Non-Concurrent Forces

    • DEMO PROBLEMS: Equilibrium of Non-Concurrent Forces

  • 5

    Loads and Supports

    • Load Types

    • Structural Member Types

    • Loads Across Joints

    • Supports and Support Reactions

    • DEMO PROBLEMS: Loads and Supports

  • 6


    • Trusses

    • Trusses: Method of Joints

    • DEMO PROBLEMS: Method of Joints

    • Trusses: Method of Sections

    • DEMO PROBLEMS: Method of Sections

    • Frames

    • Frame Analysis

    • DEMO PROBLEMS: Frames

    • Machines

    • DEMO PROBLEMS: Machines

  • 7

    Properties of Areas and Masses

    • Centroids: General and Simple Cases

    • Centroids: Compound Cases

    • DEMO PROBLEMS: Centroids

    • 1st Moment of Area

    • 2nd Moment of Area: General and Simple Cases

    • 2nd Moment of Area: Compound Cases

    • DEMO PROBLEMS: Moments of Area

    • Center of Mass

    • Moment of Inertia

    • DEMO PROBLEMS: Mass Properties

  • 8

    Distributed Forces

    • Simple Cases

    • Variable Distributions

    • Distributed Loads on Structures

    • DEMO PROBLEMS: Distributed Forces

    • APPLICATION: Rope Around a Pole

    • APPLICATION: Lateral Cable Loads -- The Catenary

    • APPLICATION: Buoyancy

  • 9

    Internal Forces

    • Axial Forces

    • Shear Forces

    • Bending Moments

    • Shear-Moment Diagrams

    • DEMO PROBLEMS: Internal Forces

  • 10


    • REVIEW: Part 1

    • REVIEW: Part 2

Your Instructor

Steve Pomroy

Steve Pomroy holds an undergraduate degree in Mechanical Engineering and a Masters Degree in Aerospace Engineering.  With over 20 years in aviation and over 6,000 hours of flying time, most of Steve's professional experience is in flight operations.  Most recently, he's been operating as a Captain on a Dash-8-Q400 aircraft at a regional airline in Canada.

Steve's teaching background includes three years teaching Mechanical Engineering at an international college in the Middle East, and many years (and thousands of flight hours!) as a flight instructor, both civilian and military.  Aside from in-person instruction (both in the classroom and in the airplane), Steve has also worked behind-the-scenes on tutorial video development for  Currently, his program and course-development efforts are focused on engineering courses at