Lecture 19 sect 9.8

Lecture 19 sect 9.8 - 6 Product Moment of Inertia • Basic...

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ME 221 Lecture 19 1 ME 221 Statics Lecture #19 Sections 9.7 - 9.9
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ME 221 Lecture 19 2 Homework #7 Chapter 4 problems: Chapter 9 problems: Due Friday
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ME 221 Lecture 19 3 Homework #8 Chapter 9 problems: Chapter 5 problems: Additional information to be on Angel Due Friday, October 24
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Last Lecture Principal Second Moments Product Moment of Inertia Principal Axes Mohr’s Circle
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Mechanics Nomenclature Polar Moment of Inertia = Torsional Stiffness Second Moment of Area = Bending Stiffness
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ME 221 Lecture 19
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Unformatted text preview: 6 Product Moment of Inertia • Basic section with two axes of symmetry x y • Composite sections - product parallel axis theorem xy A I xydA = -∫ xy x y o o I I x y A ′ ′ =-ME 221 Lecture 19 7 Mohr’s Circle for Principal Inertia +I xy-I xy I xx , I yy I yy x I xx I xy x • draw point ( I xx , I xy ) and the circle ( I xx +I yy )/2 • draw circle center ( I xx + I yy )/2 x I MAX I MIN 2 β • use geometry to find I MAX , I MIN and Angles in Mohr’s circle are twice those in the section analyzed. ME 221 Lecture 19 8 Chapter 9 Example...
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This note was uploaded on 07/25/2008 for the course ME 221 taught by Professor Buch during the Summer '08 term at Michigan State University.

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Lecture 19 sect 9.8 - 6 Product Moment of Inertia • Basic...

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