Currently under development. PreOrder now at a
75% discount!
75% discount!
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 FreeBody Diagrams of objects and structures.
 Categorize force systems and identify statically equivalent systems.
 Identify equilibrium requirements and find support reactions for concurrent and nonconcurrent 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 nonmechanical disciplines looking for structures oriented professional development.
 Anybody interested in basic structural analysis.
Statics Outline

1
Introduction

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 NonConcurrent Forces

DEMO PROBLEMS: Equilibrium of NonConcurrent Forces


5
Loads and Supports

Load Types

Structural Member Types

Loads Across Joints

Supports and Support Reactions

DEMO PROBLEMS: Loads and Supports


6
Structures

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

ShearMoment Diagrams

DEMO PROBLEMS: Internal Forces


10
COURSE COMPLETION

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 Dash8Q400 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 inperson instruction (both in the classroom and in the airplane), Steve has also worked behindthescenes on tutorial video development for PilotEffect.com. Currently, his program and coursedevelopment efforts are focused on engineering courses at StillKinetic.com.