ut p ext conc load after minimization 0 only

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Unformatted text preview: apter 22 Page 15 K. Haghighi So, we now have: (e ) = 1 {e}T [D]{e}dV − 1 {e}T [D]{ε }dV Λ ∫ ∫ T 2V but so 2V {e} = [B]{U(e )} {} {} (e ) = 1 U(e ) T [B]T [D][B] U(e ) dV Λ ∫ 2V strain energy eqn. in terms of elem. nodal disp’s. {} (e ) T [B]T [D]{ε }dV −∫U T V Chapter 22 Page 16 K. Haghighi The Force Terms: 1 - due to conc. loads, Wconc. = {U}T {P} Potential 2 - due to dist. loads acting on the of applied surface, Wp loads 3 - due to body forces, Wbf () 1 - Wconc. = {U}T {P} ext. conc. load ⎛ ∂Π ⎞ after minimization ⎜ = 0 ⎟ only {P} ⎝ ∂{U} ⎠ appears in the final sys. of eq...
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This document was uploaded on 01/29/2014.

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