"Applied Mechanics 1 (Statics)" Webpage

Applied Mechanics 1 (Statics) Class Notes
Engineering Mechanics: Statics, 2nd Edition,
Anthony Bedford and Wallace Fowler Bedford and Fowler's Satics book, 2nd edition

Bedford and Fowler's Satics book, 2nd edition

Copies of the classnotes are on the internet in PDF format as given below. These online notes are based on notes used in the "Applied Mechanics 1 (Statics)" (MATH 2610) fall 1998 class. These PDF notes have not been classroom tested and may contain typegraphical errors. I am making them available now because of the new engineering program instituted at ETSU in 2017. A contemporary statics class may include more computer assisted solutions; the solutions in the notes are handwritten on engineering paper, as was traditionally done. This class corresponds to the current TTU-ETSU Dual Degree class CEE 2110, "Statics" (the prerequisite for which is Technical Physis 1, PHYS 2110, and a grade of C or better in Calculus 2, MATH 1920). A description of this program is on the TTU-ETSU Bachelor of Science in Engineering program webpage (accessed September 26, 2018).

Guidelines for Problem Presentation Problem Presentation Guidelines

1. Introduction

1.1. Engineering and Mechanics Section 1.1 notes
1.2. Learning Mechanics Section 1.2 notes
1.3. Fundamental Concepts Section 1.3 notes
1.4. Units Section 1.4 notes

2. Vectors

2.1. Scalars and Vectors Section 2.1 notes
2.2. Rules for Manipulating Vectors Section 2.2 notes

Problem 2.9 Problem 2.9 solution

2.3. Components in Two Dimensions Section 2.3 notes

Problem 2.38 Problem 2.38 solution

2.4. Components in Three Dimensions Section 2.4 notes
2.5. Dot Products Section 2.5 notes
2.6. Cross Products Section 2.6 notes
2.7. Mixed Triple Products

3. Forces

3.1. Types of Forces Section 3.1 notes
3.2. Equilibrium and Free-Body Diagrams Section 3.2 notes
3.3. Two-Dimensional Force Systems Section 3.3 notes
3.4. Three-Dimensional Force Systems Section 3.4 notes

Problem 3.79 Problem 3.79 solution

4. Systems of Forces and Moments

4.1. Two-Dimensional Description of the Moment Section 4.1 notes
4.2. The Moment Vector Section 4.2 notes
4.3. Moment of a Force About a Line Section 4.4 notes
4.4. Couples Section 4.4 notes
4.5. Equivalent Systems Section 4.5 notes
4.6. Representing Systems by Equivalent Systems Section 4.6 notes

5. Objects in Equilibrium

5.1. The Equilibrium Equations Section 5.1 notes
5.2. Two-Dimensional Applications Section 5.2 notes
5.3. Statically Indeterminate Objects Section 5.3 notes
5.4. Three-Dimensional Applications Section 5.4 notes
5.5. Two-Force and Three-Force Members Section 5.5 notes

Midterm Midterm test

6. Objects in Equilibrium

6.1. Trusses Section 6.1 notes
6.2. The Method of Joints Section 6.2 notes

Problem 6.11 Problem 6.11 solution

6.3. The Method of Sections Section 6.3 notes
6.4. Space Trusses
6.5. Frames and Machines Section 6.5 notes

7. Centroids and Centers of Mass

7.1. Centroids of Areas Section 7.1 notes
7.2. Centroids of Composite Areas Section 7.2 notes
7.3. Distributed Loads Section 7.3 notes
7.4. Centroids of Volumes and Lines Section 7.4 notes
7.5. The Pappus-Guldinus Theorems Section 7.5 notes
7.6. Definition of the Center of Mass Section 7.6 notes
7.7. Centers of Mass of Objects Section 7.7 notes
7.8. Centers of Mass of composite Objects

8. Moments of Inertia Section 8.0 notes

8.1. Definitions Section 8.1 notes
8.2. Parallel-Axis Theorems Section 8.2 notes
8.3. Rotated and Principal Axes
8.4. Simple Objects Section 8.4 notes
8.5. Parallel-Axis Theorem Section 8.5 notes

9. Friction

9.1. Theory of Dry Friction Section 9.1 notes
9.2. Applications Section 9.2 notes

10. Internal Forces and Moments

10.1. Axial Force, Shear Force, and Bending Moment Section 10.1 notes
10.2. Shear Force and Bending Moment Diagrams Section 10.2 notes
10.3. Relations Between Distrubuted Load, Shear Force, and Bending Moment Section 10.3 notes
10.4. Loads Distributed Uniformly Along Straight Lines Section 10.4 notes
10.5. Loads Distributed Uniformly Along Cables
10.6. Discrete Loads
10.7. Pressure and the Center of Pressure
10.8. Pressure in a Stationary Liquid

Final Final test

11. Virtual Work and Potential Energy

11.1. Virtual Work
11.2. Potential Energy

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