## 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

Bodies

Forces

Moments

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

Couples

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

Structures

Two Force Members

Trusses

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

Wedges

Power Screws

Bearing Friction

Disc Friction

Belt Friction

Chapter 6 Homework Problems

## Appendix:

### A1. Vector and Matrix Math:

Vectors

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