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Contradictions. Pile Driving. Y = Driving Speed What are the Knobs?. Driving Speed = f ( Ground Hardness, Pile Diameter, Tip Angle …). Driving Speed is Slow. Ground is Hard. Pile Diameter is Large. Tip Shape is Blunt. Tip Shape is Sharp. Support is Poor. Contradiction. Pile Driving.

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Presentation Transcript
slide2

Pile Driving

Y = Driving Speed

What are the Knobs?

Driving Speed = f ( Ground Hardness, Pile Diameter, Tip Angle …)

slide3

Driving Speed is Slow

Ground is Hard

Pile Diameter is Large

Tip Shape is Blunt

Tip Shape is Sharp

Support is Poor

Contradiction

Pile Driving

Thin

Thick

Use a knob and a setting

Pile Diameter

slide4

Pile Driving

In order to drive fast, the pile must be sharp. In order to support heavy loads, the pile must be blunt

slide5

Conflicting Requirements

Supporting

Driving

Sharpness

Compromise Solutions

Time Consuming

Guarantees Risk

Delays the Solution

slide6

Idealized Solutions

Conflicting Requirements

Supporting

Driving

Blunt

Sharp

It must be sharp and blunt

slide7

Setting the Knob to Both Settings

Rather than compromising, Do both (Resolve the Contradiction)

We will consider four ways:

Separation in Space

Separation by Direction

Separation by Scale

Separation in Time

Blunt

Sharp

Pile Sharpness

slide8

Separation in Space

Non-Uniform

Carrier

Completely Separate

Touching

Nesting

Composite or Mixture

Copy

Real

McCoy

Red & Green

Round

inside Square

slide9

Allowed to turn while driving

Constrained while supporting

Separation by Direction, (Path or Plane)

Green

View

Flexible

Square

View

Stiff

Round

View

Red

View

slide10

Separation by Scale or Between the Parts and the Whole

Thin

Thick

Blunt & Sharp

Blunt & Sharp

Massive and Light Table

Square & Round

Sand Paper:

Counter

Weight

Object

Heavy & Light Object

Smooth Object made from from Partially Rough Objects

Inflexible Particles on a Flexible Carrier

Chain is Flexible

The Links are Stiff

slide11

Separation in Time

Shaping

Cap

Abradeable

Material

Pumped Concrete

Concrete

Drive

Blunt

Pile

Second

Pile

Catches

Lip Edge

of First

Pile

Drive

Sharp

Copy

Remove

Sharp

Copy

Drive

First

Pile

Cut & Not Cut

slide12

Contradiction Game

  • Game Rules
  • A contradiction is given: Flexible and Rigid
  • The team has 5 minutes to come up with examples of objects which have the contradictory properties. The examples may be real or made up, but they do need to be concrete and use actual physical phenomenon.
  • The score is calculated as the total number of examplesthe number of classes of methods used.
  • For example: a team comes up with 12 total examples. Since they used only 2 separation classes (separation in space and separation in time) the final score is 12 x 2 = 24
  • The winning team shares their results with the rest of the class