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chapter 10-2

# chapter 10-2 - CEE/ME 241 MOMENT OF INERTIA FOR COMPOSITE...

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CEE/ME 241 Lecture Notes for Sections 10.2,10.5 1 MOMENT OF INERTIA FOR COMPOSITE AREAS Today’s Objectives: Students will be able to: 1. Apply the parallel-axis theorem. 2. Determine the moment of inertia (MoI) for a composite area. In-Class Activities: Check homework, if any Reading quiz Applications Parallel-axis theorem Method for composite areas Concept quiz Group problem solving Attention quiz READING QUIZ 1. The parallel-axis theorem for an area is applied between A) an axis passing through its centroid and any corresponding parallel axis. B) any two parallel axis. C) two horizontal axes only. D) two vertical axes only. 2. The moment of inertia of a composite area equals the ____ of the MoI of all of its parts. A) vector sum B) algebraic sum (addition or subtraction) C) addition D) product

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CEE/ME 241 Lecture Notes for Sections 10.2,10.5 2 APPLICATIONS Cross-sectional areas of structural members are usually made of simple shapes or combination of simple shapes. Is there a simpler method for determining the MoI of such cross-sectional areas as compared to the integration method? If yes, can you describe the method? APPLICATIONS (continued) This is another example of a structural member with a composite cross-area. Design calculations typically require use of the MoI for these cross-sectional areas. Can you describe a simple method to calculate MoI?
CEE/ME 241 Lecture Notes for Sections 10.2,10.5 3 PARALLEL-AXIS THEOREM FOR AN AREA (Section 10.2) This theorem relates the moment of inertia (MoI) of an area about an axis

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chapter 10-2 - CEE/ME 241 MOMENT OF INERTIA FOR COMPOSITE...

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