chapter 10-1

# chapter 10-1 - CEE/ME 241 MOMENTS OF INERTIA(Chapter 10...

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CEE/ME 241 Lecture Notes for Sections 10.1,10.3,10.4 1 MOMENTS OF INERTIA (Chapter 10) Today’s Objectives : Students will be able to: a) Define the moments of inertia (MoI) for an area. b) Determine the MoI for an area by integration. In-Class Activities : Check homework, if any Reading quiz Applications MoI: concept and definition MoI by integration Concept quiz Group problem solving Attention quiz READING QUIZ 1. The definition of the Moment of Inertia for an area involves an integral of the form A) x dA. B) x 2 dA. C) x 2 dm. D) m dA. 2. Select the SI units for the Moment 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 10.1,10.3,10.4 2 APPLICATIONS Many structural members like beams and columns have cross sectional shapes like I, H, C, etc. . Why do they usually not have solid rectangular, square, or circular cross sectional areas? What primary property of these members influences design decisions? How can we calculate this property? APPLICATIONS (continued) Many structural members are made of tubes rather than solid squares or rounds. Why? What parameters of the cross sectional area influence the designer’s selection? How can we determine the value of these parameters for a given area?
CEE/ME 241 Lecture Notes for Sections 10.1,10.3,10.4 3 THE CONCEPT OF THE MoI OF AN AREA Consider a plate submerged in a liquid. The pressure of a liquid at a distance z below the surface is given by p = γ z, where γ is the specific weight of the liquid.

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chapter 10-1 - CEE/ME 241 MOMENTS OF INERTIA(Chapter 10...

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