week2-1 - TA TAOfficeHours Hooman MacDonaldRm 391...

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Office Hours TA Office Hours ooman Hooman MacDonald Rm 391 ednesdays 1 to 3 pm Wednesdays 1 to 3 pm hooman.keyhan@mail.mcgill.ca Ali MacDonald Rm 391 Thursdays 3 to 5 pm ali.ghafari@mail.mcgill.ca
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xial Loading (Ch 5) Axial Loading (Ch 5) im: to determine the forces and deformations Aim: to determine the forces and deformations of a body subjected to external forces ur approach: echanics of Materials sing Our approach: Mechanics of Materials using simplified loadings More complex and powerful approaches (like Finite Element Modeling) use the Theory of Elasticity
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xially Loaded Bars Axially Loaded Bars r elastic loading ε σ E = For elastic loading L e E A F = FL EA e = Axial elongation as a function of load (F)
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ultiple Element Bars Multiple Element Bars Overall elongation of the axial member is a sum of the elongations of the segments = i i L F e i i i E A
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ultiple Element Bars Multiple Element Bars 3 3 3 3 2 2 2 2 1 1 1 1 E A E A E A e + + =
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gn convention of extension Sign convention of extension Positive If bar gets longer. Internal rce is tensile Negative If bar gets shorter. Internal rce is compressive force is tensile. force is compressive.
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ariable Loads and Cross Sections Variable Loads and Cross Sections L dx x F de ) ( = A FL e = E x A ) ( EA Cross sectional area and/or force varies continuously with the length of the bar.
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ariable Loads and Cross Sections Variable Loads and Cross Sections = = L L dx x F de e ) ( E x A 0 0 ) (
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ample Example 1: Solid Aluminum, E = 70 GPa, dia = 20 mm 2: Solid Aluminum, E = 70 GPa, dia = 24 mm : Solid steel E = 200 Pa ia 16 mm 3: Solid steel, E = 200 GPa, dia = 16 mm
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This note was uploaded on 12/01/2009 for the course CIVE 207 taught by Professor Shao during the Winter '09 term at McGill.

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week2-1 - TA TAOfficeHours Hooman MacDonaldRm 391...

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