copyright kaplan aec education, 2005 statics outline overview statics, p. 119 introductory concepts...

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Copyright Kaplan AEC Educ ation, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 • Newton’s Laws of Motion • Newton’s Law of Gravitation • Dimensions and Units of Measurement

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Page 1: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Statics Outline Overview

STATICS, p. 119

INTRODUCTORY CONCEPTS INMECHANICS, p. 120• Newton’s Laws of Motion• Newton’s Law of Gravitation• Dimensions and Units of Measurement

Page 2: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Statics Outline Overview Continued

VECTOR GEOMETRY AND ALGEBRA,

p. 121

• Addition and Subtraction

• Multiplication by a Scalar

• Dot Product

• Unit Vectors and Projections

Page 3: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Statics Outline Overview Continued

VECTOR GEOMETRY AND ALGEBRA

(Continued)

• Vector and Scalar Equations

• The Cross Product

• Rectangular Cartesian Components

Page 4: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Statics Outline Overview Continued

FORCE SYSTEMS, p. 127

• Types of Forces

• Point of Application and Line of Action

• Moments of Forces

Page 5: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Statics Outline Overview Continued

FORCE SYSTEMS (Continued)

• Resultant Forces and Moments

• Couples

• Moments about Different Points

• Equivalent Force Systems

Page 6: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Statics Outline Overview Continued

EQUILIBRIUM, p. 131– Free-Body Diagrams– Equations of Equilibrium

TRUSSES, p. 138– Equations from Joints– Equation from Sections

Page 7: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Statics Outline Overview Continued

COUPLE-SUPPORTING MEMBERS, p. 142

• Twisting and Bending Moments

SYSTEMS WITH FRICTION, p. 145

Page 8: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Statics Outline Overview Continued

DISTRIBUTED FORCES, p. 148

• Single Force Equivalents

• Center of Mass and Center of Gravity

• Centroids

• Second Moments of Area– Parallel Axis Formulas

Page 9: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Basic Concepts

Page 10: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Solution

Page 11: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Resolving Forces in Two Dimensions

Page 12: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Solution

Page 13: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Resolving Forces in Three Dimensions

Page 14: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Solution

Page 15: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Solution (continued)

Page 16: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Moments of Forces

Page 17: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Solution

Page 18: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Moments of Forces

Page 19: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Solution

Page 20: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Solution (continued)

Page 21: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Equivalent Force Systems

Page 22: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Solution

Page 23: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Solution (continued)

Page 24: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Equivalent Force Systems

Page 25: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Solution

Page 26: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Free Body Diagrams

Page 27: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Solution

Page 28: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Equilibrium of Particles

Page 29: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Solution

Page 30: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Trusses: Method of Joints

Page 31: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Solution

Page 32: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Trusses: Method of Sections

Page 33: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Solution

Page 34: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Centroids

Page 35: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Solution

Page 36: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Second Moments of Area

Page 37: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Solution

Page 38: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Friction

Page 39: Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS IN MECHANICS, p. 120 Newton’s Laws of Motion Newton’s

Copyright Kaplan AEC Education, 2005

Solution