DFN 2211 Introduction to Structures Professor Tango

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DFN 2211 Introduction to StructuresProfessor
Tango
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Characteristics of a Force Sir Issac Newtons
Three Laws
1. Equilibrium 2. F ma
3. Action/Reaction
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Characteristics of a Force

• Characteristics of a Force
• point of application, magnitude, direction
• rigid bodies
• principle of transmissibility
• internal and external forces
• collinear, coplanar, concurrent

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Vector Addition

• parallelogram law and method
• tip to tail method

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2.1
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2.2
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Olympic Village - Munich, Germany
1972Architect Günther Behnisch, whose design
of the stadium at the time of its erection was
considered revolutionary. Large sweeping canopies
of plexiglass stabilized by metal ropes were used
for the first time in such scale.
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Olympic Village-Munich, Germany Günther
Behnisch 1972
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Homework

• Problem 2.3
• Problem 2.4

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2.3
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2.4
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2.5
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Vector AdditionResolution of Forces into
Rectangular Components

• Vector Addition mathematical tools
• SOH-CAH-TOA
• Sine Opposite over Hypotenuse
• Cosine Adjacent over Hypotenuse,
• Tangent Opposite over Adjacent
• Pythagorean theorem 3 4 - 5 triangle
• Analytical method of vector addition

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2.6
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2.6a 2.6b
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2.7
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2.8
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Daniel Arts Center Ann Beha Architects
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Vector Addition by Components
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Vector Addition by Components
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2.9
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Homework

• Problem 2.10
• Problem 2.12
• Quiz on Wednesday Jan. 18th

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2.10
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2.12
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Quiz 1 Wednesday 1-18-06
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Quiz 1 Review Friday 1-20-06
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2.3
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2.4
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Moment of a Force

• positive moment arm
• negative - moment arm
• Homework 2.17 2.18
• 2.19 2.20

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positive moment arm
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Varignons Theorm
Pierre Varignon Born 1654 in Caen, FranceDied
23 Dec 1722 in Paris, France
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2.17 Cedrics Key Word
Key Fact The sum of the moments is equal to zero
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2.18
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Jubilee Church - Richard Meier Partners
Architects 1996-2003
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Jubilee Church - Richard Meier Partners
Architects
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2.19
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2.20
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2.21
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Homework

• Problem 2.21
• Couples and Moments of a Couple
• Quiz on Wednesday Jan. 25

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Homework for Friday Jan. 27

• Couples and Moments of a Couple
• Problem 2.24, page 76
• 2nd Yr. StudioSee you at the High Museum _at_
  200

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Quiz 2 Common Errors

• Carefully read the Question
• Use calculation method specified
• Check your work many math errors
• Show calculations neatly and orderly
• Use two sheets of paper if necessary
• Use correct paper on correct side
• Do not write on the back
• No partial credit on mid-term (20) or final
  (20) exams
• Last day to withdraw and receive a W Monday,
  February 27, 2006
• Mid-term exam Friday, March 3, 2006 ( Day before
  Spring break )

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Homework 2.24
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Equilibrium Equations

• page 79-91

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Leonardo da Vinci
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Equilibrium Equations
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page 84
30
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Homework for Monday Jan. 30

• Equilibrium
• Problem 2.28, page 91

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2.28
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2.30
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2.30
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Homework

• Problem 2.32 page 92
• Quiz Wednesday or collection of homework problem