chapter 10-3

# chapter 10-3 - CEE/ME 241 PRODUCT OF INERTIA AND PRINCIPLE...

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CEE/ME 241 Lecture Notes for Sections 10.2,10.5 1 PRODUCT OF INERTIA AND PRINCIPLE INERTIA Section 10.6-10.8 Today’s Objectives: Students will be able to: 1. Define Product of Inertia for an area. 2. Determine the Product of Inertia (PoI) for a curved and composite area. In-Class Activities: Reading quiz Defintaion Parallel-axis theorem Method for composite areas Principle Inertia Mohr’s Circle Concept quiz Group problem solving Attention quiz READING QUIZ 1. The definition of the Product of Inertia for an area involves an integral of the form A) xy dA. B) x 2 dA. C) xy dm. D) m dA. 2. Select the SI units for the product of Inertia for an area. A) m 4 B) m 2 C) kg·m 2 D) kg·m 3

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CEE/ME 241 Lecture Notes for Sections 10.2,10.5 2 PoI – DEFINITION For the differential area dA, shown in the figure: d I x = xy dA , The product of inertia for the entire area are obtained by integration. I xy = A xy dA The PoI has units of length to the fourth power (m 4 or in 4 ) .
CEE/ME 241 Lecture Notes for Sections 10.2,10.5 3 Product of Inertia- Integration Method

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chapter 10-3 - CEE/ME 241 PRODUCT OF INERTIA AND PRINCIPLE...

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