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Transcript of Copyright Kaplan AEC Education, 2005 Statics Outline Overview STATICS, p. 119 INTRODUCTORY CONCEPTS...
![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.](https://reader036.fdocuments.net/reader036/viewer/2022062421/56649e155503460f94aff2cf/html5/thumbnails/1.jpg)
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
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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
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Copyright Kaplan AEC Education, 2005
Statics Outline Overview Continued
VECTOR GEOMETRY AND ALGEBRA
(Continued)
• Vector and Scalar Equations
• The Cross Product
• Rectangular Cartesian Components
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Statics Outline Overview Continued
FORCE SYSTEMS, p. 127
• Types of Forces
• Point of Application and Line of Action
• Moments of Forces
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Statics Outline Overview Continued
FORCE SYSTEMS (Continued)
• Resultant Forces and Moments
• Couples
• Moments about Different Points
• Equivalent Force Systems
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Statics Outline Overview Continued
EQUILIBRIUM, p. 131– Free-Body Diagrams– Equations of Equilibrium
TRUSSES, p. 138– Equations from Joints– Equation from Sections
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Statics Outline Overview Continued
COUPLE-SUPPORTING MEMBERS, p. 142
• Twisting and Bending Moments
SYSTEMS WITH FRICTION, p. 145
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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
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Copyright Kaplan AEC Education, 2005
Basic Concepts
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Copyright Kaplan AEC Education, 2005
Solution
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Resolving Forces in Two Dimensions
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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.](https://reader036.fdocuments.net/reader036/viewer/2022062421/56649e155503460f94aff2cf/html5/thumbnails/13.jpg)
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Resolving Forces in Three Dimensions
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Copyright Kaplan AEC Education, 2005
Solution
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Solution (continued)
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Moments of Forces
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Copyright Kaplan AEC Education, 2005
Solution
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Copyright Kaplan AEC Education, 2005
Moments of Forces
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Copyright Kaplan AEC Education, 2005
Solution
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Copyright Kaplan AEC Education, 2005
Solution (continued)
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Equivalent Force Systems
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Copyright Kaplan AEC Education, 2005
Solution
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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.](https://reader036.fdocuments.net/reader036/viewer/2022062421/56649e155503460f94aff2cf/html5/thumbnails/24.jpg)
Copyright Kaplan AEC Education, 2005
Equivalent Force Systems
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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.](https://reader036.fdocuments.net/reader036/viewer/2022062421/56649e155503460f94aff2cf/html5/thumbnails/26.jpg)
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Free Body Diagrams
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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.](https://reader036.fdocuments.net/reader036/viewer/2022062421/56649e155503460f94aff2cf/html5/thumbnails/28.jpg)
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Equilibrium of Particles
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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.](https://reader036.fdocuments.net/reader036/viewer/2022062421/56649e155503460f94aff2cf/html5/thumbnails/30.jpg)
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Trusses: Method of Joints
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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.](https://reader036.fdocuments.net/reader036/viewer/2022062421/56649e155503460f94aff2cf/html5/thumbnails/32.jpg)
Copyright Kaplan AEC Education, 2005
Trusses: Method of Sections
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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.](https://reader036.fdocuments.net/reader036/viewer/2022062421/56649e155503460f94aff2cf/html5/thumbnails/34.jpg)
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Centroids
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Solution
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Second Moments of Area
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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.](https://reader036.fdocuments.net/reader036/viewer/2022062421/56649e155503460f94aff2cf/html5/thumbnails/38.jpg)
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Friction
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Solution