introducation solid mechanics
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IntroductionMAE314 SolidMechanicsY.Zhu
Slide 1 Introduction
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Slide 2 Introduction
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Slide 3 Introduction
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http://www.youtube.com/watch?v=3mclp9QmCGs
Slide 4 Introduction
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MicroElectroMechanical System (MEMS)
HP: 650 Million a year Epson and Xerox: 350
Milli
TI: 600 Million a year ADI: 120 million a year Freescale: 100 Million
Million
Accelerometer(A l D i )
Digital Light Processors (DLP)(T I t t )
Ink Jet Nozzle(HP)(Analog Devices) (Texas Instruments) (HP)
Slide 5 Introduction
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Digital Micro Mirror
Slide 6 Introductionhttp://www.ti.com/corp/docs/landing/dlp/index.htmhttp://www.ti.com/corp/docs/landing/dlp/index.htm
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NanoElectroMechanical System (NEMS)
10 m
Chris Chen, UPenn Christoph Gerber, Science (2000)
Slide 7 Introduction
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Nanostructures
Slide 8 Introduction
ZL Wang, Georgia Tech
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Quiz: Statics
Assume link AC has cross-sectional area A=1/8 in2 and load P is equal to 120 lbs. What is the internal force in link AC?
Slide 9 Introduction
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Procedure0a. Given/Wanted + Sketch0b. Plan Coordinate System Free Body Diagram Equilibrium Equations (Statics) Count number of unknowns and equations
S l ti Solution Check your solution !!N tNote: Use variables instead of numbers Units!
Slide 10 Stress and Strain
Units!
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Normal Stress
Methods of statics allow us to determine forces and moments in a structure, but how do we determine if a load can be safely supported?
Factors: material, size, etc. Need a new concept.Stress
F=A
=
Slide 11 Introduction
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Normal Strain
Normal strain () is defined as the deformation per unit length of a member under axial loading.
Normal strain is dimensionless but can be expressed inL =
Normal strain is dimensionless but can be expressed in several ways. Lets say L = 100 mm and = 0.01 mm. = 0.01 mm / 100 mm = 1 x 10-4 or 100 x 10-6
= 100 (read as 100 microstrain) = 1 x 10-4 in/in (if using English units) = 1 x 10-4 * 100 = 0.01%
Slide 12 Introduction
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Stress Strain Curve
( )(MPa)
Ceramic
Steel Rubber
Slide 13 Introduction
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World Trade Center Tragedy
MEMS devices
Slide 14 Introduction
Professor Z.P. Bazant, Northwestern University
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Slide 15 Introduction
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