CE 382 L9 - Intro to Indeterminate Analysis

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Introduction to Statically Indeterminate Analysis Support S pport reactions and internal forces of statically determinate structures can be determined using only the equations of equilibrium. However, the analysis of statically indeterminate structures requires additional equations based on the geometry of deformation of the structure. 1 Additional equations come f Addi i l i from compatibility relationships, which ensure continuity of displacements throughout the structure. The remaining g eq
  Introduction to StaticallyIndeterminateAnalysisndeterminate Analysis uforces of statically determinate  using only the equations ofequilibrium . However, theanalysis of statically indeter-minate structures requiresthe geometry of deformation of 1    Additional equations come from c ompatibility relationships  , displacements throughout thestructure . The remaininequations are constructed frommember constitutive equations  ,.e., reatonsps etweenstresses and strains and theover the cross section . 2  Design of an indeterminatesrucure s carre ou n aniterative manner , whereby themembers are initially assumedand used to analyze the structure.Based on the computed results(displacements and internalmemer orces, e memersizes are adjusted to meet.iteration process continues untilthe member sizes based on theresults of an analysis are close tothose assumed for that analysis. 3  Another consequence ofstructures is that the relativevariation of member sizesinfluences the magnitudes ofthe forces that the member .another way, stiffness ( largemember size and/or hih   modulus materials ) attractsforce .Despite these difficulties withstatically indeterminatestructures, an overwhelmingmajority of structures being 4 u oay are sacayindeterminate .
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