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

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2.32
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2.32b
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Free Body Diagramsof Rigid Bodies
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Free Body Diagramsof Rigid Bodies
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Free Body Diagramsof Rigid Bodies
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Free Body Diagramsof Rigid Bodies
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Free Body Diagramsof Rigid Bodies
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Free Body Diagramsof Rigid Bodies
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2.34
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Free Body Diagramsof Rigid Bodies
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Homework due 2-3-06

• 2.35 page 103
• 2.36

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2.35
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2.36
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2.37 class exercise
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2.37
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Homework 2.38 page 104
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Homework 2.38 page 104
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2.38
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2.61
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2.61
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Homework

• Problem 2.60 page 114
• Test on WednesdayFebruary 8

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2.60
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2.60
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Quiz 3Question 1
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2.34page 103
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Quiz 3
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Quiz 3Question 2
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Quiz 3Question 2
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Quiz 3
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2.37
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Quiz 3Question 2
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Class ExerciseFind allthe reactive forces
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Homework

• 2.34 old
• 2.35 old
• 2.36 old
• 2.37 old
• 2.53 new
• 2.59 new
• Quiz on Monday

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Quiz 4Question 1
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Quiz 4Question 1
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Quiz 4Question 1
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Quiz 4Question 2
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Quiz 4Question 3
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Chapter 3.1 Equilibrium of a Particle SIMPLE
CABLES
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Chapter 3.1 Equilibrium of a Particle SIMPLE
CABLES

• Most economical way to span long distances
• Steel cable in tension is several times stronger
  than steel in any other form, pound for pound.
• Cables carry load only in tension
• Horizontal force resistance present ----
  anchorage
• Cables take on different shapes based on load
• As sag increases, tension decreases

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Single Concentrated Load
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3.1
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3.1
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Homework

• Problem 3.3
• page 130

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Homework

• Problem 3.3
• page 130

12 feet
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Homework

• Problem 3.3
• page 130

12 feet
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Homework

• Problem 3.3
• page 130

12 feet
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Homework

• Problem 3.3
• page 130

12 feet
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Homework

• Problem 3.3
• page 130

12 feet
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Homework

• Problem 3.3
• page 130

12 feet
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Homework

• Problem 3.3
• page 130

12 feet
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Homework for Monday Feb. 20, 2006

• Problem 3.2 page 130
• step 1 assume DE 1200
• step 2 solve for Moment at A to find new Ey
• step 3 find new tension Ex
• step 4 find sag at D
• step 5 isolate segment CDE
• step 6 sum of Fy to find CBy, CBx Ex
• step 7 find resultant of CBx CBy to solve for
  CB
• step 8 use ratio to find sag at CB
• step 9 combine with sag at DE to find total sag
  at C

12 feet
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Mid-term Exam Friday February
24http//architecture.spsu.edu/classes/2211/
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3.2 page 130
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Equilibrium of Rigid Bodies Simple Beams
with Distributed Loads
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Example 3.5 page 134
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Example 3.6 page 135
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Homework

• Problem 3.5 page 137
• Problem 3.6
• Problem 3.8 page 138

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Class Exercise
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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
• GOOD LUCK ON THE MIDTERM!

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Midterm Question 1
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Midterm Question 2
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Midterm Question 3
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Midterm Question 4
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Midterm Question 5
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Midterm Question 6
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Trusses Method of Joints Method of Sections

• video trusses in bridges 6 minutes

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Truss

• A structural system that distributes
• loads to supports through a linear
• arrangement of various sized
• members in patterns of planar triangles

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b 2n 3 members 2 x joints - 3
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Dinosaur Bridge, Amsterdam, the Netherlands.
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Trusses Method of Joints

• 1. Construct free body diagram of entire truss
• 2. Solve for all external support reactions
• 3. Isolate a joint from the truss that contains
  no more than two unknowns and has at least one
  known force
• 4. Draw a FBD of the joint and solve for the two
  unknown member forces by solving for Fx and Fy in
  equilibrium
• 5. Select an adjacent joint that contains no more
  than two unknown forces and repeat the process
  for each joint.

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Example 3.7 page 149
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Homework Problem 3.13 page 157

• Truss Construction Project In lieu of quiz on
  Friday, March 3, you will be graded on the
  quality and creativity of your truss submission.
  Do not submit unless truss can successfully
  support the class textbook. Submitted truss
  that does not support text will receive a 0
  grade.
• Footprint 3 wide 12 long
• Height based your truss design.
• Material wood, white board, plastic, chip
  board, manilla folder
• Type Truss type from below, text or your design
  based on a precedent.

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3.13
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3.12 Homework page 157
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3.12 Homework page 157
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Truss Construction Project

• In lieu of quiz on Friday, March 3, you will be
  graded on the quality and creativity of your
  truss submission. Do not submit unless truss
  can successfully support the class textbook.
  Submitted truss that does not support text will
  receive a 0 grade.
• Footprint 3 wide 12 long
• Height based your truss design.
• Material wood, white board, plastic, chip
  board, manilla folder
• Type Truss type from below, text or your design
  based on a precedent.

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Quiz on Wednesday, March 15Trusses Method of
Joints
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Homework

• Problem 3.12 page 157

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3.15
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3.15
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3.15
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3.15
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4
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2
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Quiz 6
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Class Exercise 3.17 page 158
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3.16 Homework
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3.16 Homework
5
6
3
4
1
2
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3.16
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3.16
5
6
3
4
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2
1
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3.16 Method of Sections
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Method of Sections
Using the Method of Sections, find DE, CD, AC
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Method of Sections
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Homework 13.19 page 165 Method of
Sections
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Homework 3.19 3.21 page 165 Method of
Sections

• 3.19 3.21
• CH 7.35kN C AB 10K
• BC 7.75kN T BH 0
• FH .8KNkN C HG 8K

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Homework 13.19 page 165 Method of
Sections
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Homework 13.19 page 165 Method of
Sections
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3.21
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3.21
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Quiz 7 due at the beginning of class
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Quiz 7
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Quiz 7
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Quiz 7
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Three Hinged Arch page 184
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Homework 3.30 page 193
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Homework 3.30 page 193
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Shear and Bending Moment

• shear - shear moment - moment

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Shear and Bending Moment

• shear - shear moment - moment

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7.1 page 352
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7.1 page 352
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Homework 7.1 page 356Quiz on Wed. 3 hinge
arch ( 20 min. only)
G
F
E
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Homework 7.1 page 356
G
F
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Homework 7.1 page 356
G
F
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Homework 7.1 page 356
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F
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Homework 7.1 page 356
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Quiz 8
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7.3 page 356
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F
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7.3 page 356
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7.3 page 356
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7.3 page 356
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7.3 page 356
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7.3 page 356
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7.3 page 356
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7.3 page 356
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Example 7.4
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Example 7.6
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QUIZ 9 for Wed. April 5. No class Monday
April 3

• - Read and study page 359 370
• On page 362 are rules for the SEMIGRAPHICAL
  METHOD of Load, Shear and Moment Diagrams. Draw
  a neat two dimensional illustrative graph to
  represent 2, 3, 4, 5, 6, 7, 8, 9, 10, 12
• - Draw the Shear and Moment Diagrams for Problems
  7.6 and 7.7, page 371

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Example 7.4
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Example 7.6
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Example 7.6
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Example 7.4
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Example 7.4
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Example 7.6
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Example 7.6
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Example 7.4
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Example 7.6
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Example 7.4
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Example 7.6
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Example 7.4
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Example 7.6
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Example 7.4
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Example 7.6
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Example 7.4
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Example 7.6
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Example 7.4
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7.6
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7.6
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7.7
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7.7
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Homework for Friday April 7 7.5, 7.8, 7.10,
7.11, 7.12Quiz 10 on Monday April 10
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7.5
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7.8