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ch10_1student - MOMENTS OF INERTIA (Chapter 10) Todays...

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MOMENTS OF INERTIA (Chapter 10) Today’s Objectives : a) Define the moments of inertia (MoI) for an area. b) Determine the MoI for an area by integration. In-Class Activities : Applications MoI: concept and definition MoI by integration Examples and questions
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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?
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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?
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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. The force on the area dA at that point is dF = p dA. The moment about the x-axis due to this force is
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This note was uploaded on 12/06/2010 for the course CHEM 141 taught by Professor Freeman during the Spring '10 term at Columbia SC.

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ch10_1student - MOMENTS OF INERTIA (Chapter 10) Todays...

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