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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
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
Copyright Kaplan AEC Education, 2005
Statics Outline Overview Continued
VECTOR GEOMETRY AND ALGEBRA
(Continued)
• Vector and Scalar Equations
• The Cross Product
• Rectangular Cartesian Components
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
Copyright Kaplan AEC Education, 2005
Statics Outline Overview Continued
FORCE SYSTEMS (Continued)
• Resultant Forces and Moments
• Couples
• Moments about Different Points
• Equivalent Force Systems
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
Copyright Kaplan AEC Education, 2005
Statics Outline Overview Continued
COUPLE-SUPPORTING MEMBERS, p. 142
• Twisting and Bending Moments
SYSTEMS WITH FRICTION, p. 145
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
Copyright Kaplan AEC Education, 2005
Basic Concepts
Copyright Kaplan AEC Education, 2005
Solution
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Resolving Forces in Two Dimensions
Copyright Kaplan AEC Education, 2005
Solution
Copyright Kaplan AEC Education, 2005
Resolving Forces in Three Dimensions
Copyright Kaplan AEC Education, 2005
Solution
Copyright Kaplan AEC Education, 2005
Solution (continued)
Copyright Kaplan AEC Education, 2005
Moments of Forces
Copyright Kaplan AEC Education, 2005
Solution
Copyright Kaplan AEC Education, 2005
Moments of Forces
Copyright Kaplan AEC Education, 2005
Solution
Copyright Kaplan AEC Education, 2005
Solution (continued)
Copyright Kaplan AEC Education, 2005
Equivalent Force Systems
Copyright Kaplan AEC Education, 2005
Solution
Copyright Kaplan AEC Education, 2005
Solution (continued)
Copyright Kaplan AEC Education, 2005
Equivalent Force Systems
Copyright Kaplan AEC Education, 2005
Solution
Copyright Kaplan AEC Education, 2005
Free Body Diagrams
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Solution
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Equilibrium of Particles
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Solution
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Trusses: Method of Joints
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Solution
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Trusses: Method of Sections
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Solution
Copyright Kaplan AEC Education, 2005
Centroids
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Solution
Copyright Kaplan AEC Education, 2005
Second Moments of Area
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Solution
Copyright Kaplan AEC Education, 2005
Friction
Copyright Kaplan AEC Education, 2005
Solution