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zm7notes - Page 1 Statically Indeterminate Structures and...

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Page 1 Statically Indeterminate Structures and Calculation of Deflections Deflection of Trusses Need other two great principles constitutive behavior compatibility Constitutive Behavior for Bars in a Truss Will later show (blocks 2 & 3) that the overall change in length of bar is ( for some range of materials, loads) δα =+ FL AE TL Symbol Meaning Dimensions SI units A = Cross-section area L 2 [] m 2 L = Length of bar [ L ] m F = Applied force [ ML/T 2 ]N / E = Modulus of elasticity [ ML/T 2 .L 2 ] N/M 2 α = Coefficient of thermal expansion L L . θ M M K T = Temperature difference K Due to a change in temperature Due to force
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Page 2 Check Units δ θ = [] + = + ML T L TL LL O K 2 2 22 This is basically the same as FK = for zero thermal expansion Set Tt hen FL AE rearranging F == = 0 [NOTE: a real spring has added geometry] Compatibility of Displacements
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This note was uploaded on 01/28/2012 for the course AERO 16.01 taught by Professor Markdrela during the Fall '05 term at MIT.

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zm7notes - Page 1 Statically Indeterminate Structures and...

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