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Homework%204%20Solutions

# Homework%204%20Solutions - EE 215 Homework 4 Solutions 1...

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EE 215 Homework 4 Solutions 1) Liu 5.2: ( ) ( ) ( ) meters 10 43 . 11 47 . 87 2 3 2 2 ) )( ( 6 1 3 2 2 2 1 2 1 2 1 2 1 2 1 2 2 2 2 2 2 2 1 1 1 2 1 2 1 2 1 2 1 2 1 - - = - = + + + + Δ - + = x r t t t t t t E E w w t E w t E w T t t t t E E w w r α The radius of curvature is -0.01143 meters. The arc angle is 0.087 radians or 5 degrees. The end displacement is -43.7 μ m. 2) Liu 5.4. When the temperature is raised by 3x the curvature is 3x greater and the angle of bending is 3x greater. Since the initial displacement is 20 μ m the final vertical displacement will be 60 μ m. This eliminates choices 2&3. To find the angular displacement, from Liu equation (5.17): ( ) 2 4 2 2 1 2 1 1 θ r O r r d + - - = Substituting for θ using Liu equation (5.15): o 88 . 6 12 . 0 10 1 ) 10 60 ( 2 2 2 2 1 3 6 2 = = = = = = - - rad x x l d l l d r l So the correct choice is number 1. 3)

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Homework%204%20Solutions - EE 215 Homework 4 Solutions 1...

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