available at: lesson 2.1, construct a truss tower construct a truss tower graphic retrieved from, ...

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ailable at: www.etcurr.com Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from, http://www.world- city-photos.org/Pari s/Eiffel_Tower/Pictu res_of_Eiffel_Tower_ black_and_white.jpg, on 5/11/2010 Graphic retrieved from, http://www.atlaso.co m/images/bridge.jpg, on 4/09/2010

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Page 1: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Construct a Truss Tower

Graphic retrieved from, http://www.world-city-photos.org/Paris/Eiffel_Tower/Pictures_of_Eiffel_Tower_black_and_white.jpg, on 5/11/2010

Graphic retrieved from, http://www.atlaso.com/images/bridge.jpg, on 4/09/2010

Page 2: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Construct a Truss Tower Performance Objective: Given VEX parts construct a truss tower

a minimum of 12” tall, and that will hold a weight ( > 5 lbs) without collapsing.

Enabling Objectives: define the following terms: force, compression, tension, and

shear identify the forces acting on an object explain how the geometric shape and orientation of an object

can affect the strength of that object or assembly explain the benefits of using certain geometric shapes over other

shapes in the construction of a structure design a truss bridge

Page 3: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Forces acting on a structure

Force is a pressure on a body or structure If the force is great enough it will produce a

change in movement or in shape of the body or structure

Conceptually, a force can be thought of as a push or a pull acting on a structure or system

In constructing a truss tower, the forces acting on members are compression, tension, and shear

Page 4: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Compression

Compression is a force or pressure that attempts to flatten or squeeze an object

Graphic retrieved from, http://library.thinkquest.org/06aug/02102/Forces%20acting%20on%20Bridges.html, on 3/27/2010

Page 5: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Tension

Tension is a force that attempts to pull apart or stretch an object

Graphic retrieved from, http://library.thinkquest.org/06aug/02102/Forces%20acting%20on%20Bridges.html, on 3/27/2010

Page 6: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Shear

Shear force attempts to cause the internal material of an object to slide against itself

Graphic retrieved from, http://library.thinkquest.org/06aug/02102/Forces%20acting%20on%20Bridges.html, on 3/27/2010

Page 7: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Interaction of forces

When weight is applied to the beam below it experiences compression, tension, and shear forces

compression

tensionshear

Graphic retrieved from, http://www.masstec.org/teched/mcasquestions.html, on 3/27/2010

Page 8: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Forces Applied to Structures

Various geometric shapes can be used in the construction of a structure Arcs, Rectangles, Triangles, etc.

Different shapes react to forces in different ways

Page 9: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Arches Arches have a keystone in the

middle, that allow the sides of the arch to lean inward, applying a force to the keystone

Graphic retrieved from, http://upload.wikimedia.org/wikipedia/en/7/79/Gateway_Arch.jpg, on 4/09/2010

The Gateway Arch, St. Louis, MO

Graphic retrieved from, http://www.dkandsons.com/images/arch%20with%20keystone.JPG, on 4/09/2010

keystone

Page 10: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Rectangles

Modular apartment buildings are constructed using rectangles

Graphic retrieved from, http://jouleconsultingengineers.co.uk/bigimages/640x480shed.jpg, on 4/09/2010

Page 11: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Triangles

Truss bridges use triangulation to support the weight or force Truss bridges

Graphic retrieved from, http://www.prhs.k12.ny.us/fac/HerskowitzM/images/cascade_teft_truss_bridge_476_1971_ampprn.jpg, on 4/09/2010

Graphic retrieved from, http://www.atlaso.com/images/bridge.jpg, on 4/09/2010

Page 12: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Combinations

What shapes are used in the Eiffel Tower?

Graphic retrieved from, http://www.thetravelpeach.com/europe-vacations/france/eiffel-tower.jpg, on 4/09/2010

Page 13: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Strength and orientation of geometric shapes

Which shape and orientation gives the most structural strength when a force is applied?

bar angle channel

Page 14: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Shape and Orientation

A beam placed vertically is stronger than if placed horizontally

horizontally the bar has very little strength when force is applied

vertically the bar has good strength when force is applied

Page 15: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Bends add support Notice how this bar

flexes or bends when force is applied

An angled shape has strength in two directions due to the bend in the material, minimizing flex as a force is applied.

bendin bar

Page 16: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Additional bends

Additional bends in the material create even more strength.

the strength is increased in this channel piece

bendin bar

Page 17: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Strength of Geometric Shapes in structures

Which shape gives the most structural strength when a force is applied?

Page 18: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Squares

What happens when you apply a force to the side of a square?

No Force Applied

Page 19: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Squares

The square collapses, because it has no strength from side to side.

Force Applied

Page 20: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Squares

What happens when your structure utilizes only square and rectangular shapes?

No Force Applied

Page 21: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Squares

The structure is not able to hold its shape, and it collapses.

Force Applied

Page 22: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Triangles

What happens when you apply a force to the side of a triangle?

No Force Applied

Page 23: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Triangles

When force is applied to the side, member A is in tension, while member B is in compression, this allows thetriangle to hold itsshape.

Force Applied

AB

Page 24: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Triangles

What happens when you use triangulation in your square structure?

No Force Applied

Page 25: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Triangles When a force is applied, the structure will be

able to hold its shape and not collapse.

Force Applied

Page 26: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Triangle vs. Square

Notice how the triangle did not lose its shape as the square did when force was applied to the side.

Using triangles in construction offers more structural support for an object than simple squares.

Page 27: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

How does this apply to a robot?

Here is a robot that won a regional competition

What is good about the structural design? Why?

What could be improved? Why?

Page 28: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Robot design

Identify various shapes and structures used in this design.

Page 29: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

Robot design

Here are four possible triangles

Here are various structures

Bar with bendChannel

Page 30: Available at:  Lesson 2.1, Construct a Truss Tower Construct a Truss Tower Graphic retrieved from,  photos.org/Paris/Eiffel_Tow

Available at: www.etcurr.com Lesson 2.1, Construct a Truss Tower

The end

Now don’t get bent out of shape over building your truss tower!