Welcome to the Adaptive Map Digital Textbook:

The Adaptive Map is an open textbook for engineering statics containing written explanations, video lectures, worked examples, and homework problems. All content is licensed under a creative commons licensed, so feel free to share or adapt the content for your own purposes. Feel free to access the content below or to learn more about the project on the about page.

Statics Content:

1. Newtonian Mechanics Basics:

Newtonian Mechanics Video Introduction

Free Body Diagrams
Newton's First Law
Newton's Second Law
Newton's Third Law

2. Static Equilibrium in Concurrent Force Systems:

Equilibrium in Concurrent Force Systems Video Introduction

Static Equilibrium
Point Forces as Vectors
Principle of Transmissibility
Concurrent Forces
Equilibrium Analysis for a Concurrent Force System

Chapter 2 Homework Problems

3. Static Equilibrium in Extended Body Systems:

Equilibrium in Extended Body Systems Video Introduction

Moment About a Point (Scalar)
Varignon's Theorem
Moment About a Point (Vector)
Moment About an Axis
Equilibrium Analysis for an Extended Body

Chapter 3 Homework Problems

4. Statically Equivalent Systems

Statically Equivalent Systems Video Introduction

Statically Equivalent Systems
Resolution of a Force into a Force and a Couple
Equivalent Force Couple System
Distributed Forces
Equivalent Point Load

Chapter 4 Homework Problems

5. Engineering Structures:

Engineering Structures Video Introduction

Two Force Members
Method of Joints
Method of Sections
Frames and Machines
Analysis of Frames and Machines

Chapter 5 Homework Problems

6. Friction and Friction Applications:

Friction and Friction Applications Video Introduction

Dry Friction
Slipping vs. Tipping
Power Screws
Bearing Friction
Disc Friction
Belt Friction

Chapter 6 Homework Problems


A1. Vector and Matrix Math:

Vector Addition
Dot Product
Cross Product
Solving Systems of Equations with Matrices

A2. Moment Integrals:

Moment Integrals
Centroids in 2D via Integration
Centroids in 3D via Integration
Center of Mass via Integration
Centroids and Center of Mass via the Method of Composite Parts
Rectangular Area Moment of Inertia via Integration
Polar Area Moment of Inertia via Integration
Mass Moment of Inertia via Integration
Moments of Inertia via Composite Parts and the Parallel Axis Theorem

Appendix 2 Homework Problems