week2-2 - Axially AxiallyLoadedBars Forelasticloading = E F...

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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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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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atically Determinate Problems Statically Determinate Problems Solvable using the principles of statics 0 = x F 0 = M A
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atically Indeterminate Problems Statically Indeterminate Problems The number of unknowns exceed the number f static equilibrium equations of static equilibrium equations. Reactions and internal forces cannot be determined by equilibrium equations alone. The problems are solved by additionally considering deformations and the deformed ometry geometry.
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rategy for Solving Strategy for Solving uilibrium Equations 1. Equilibrium Equations o FBD, F = 0, M = 0 cus on joints that connect members o Focus on joints that connect members 2. Force deformation relationships o e = FL/AE 3. Geometry of deformations o Determine how the deformations of the members are related to each other
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rategy for Solving Strategy for Solving ompatibility equation 4. Compatibility equation o A new equation from combining the rce
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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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week2-2 - Axially AxiallyLoadedBars Forelasticloading = E F...

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