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                                     Slope-Deflection Method for Indeterminate structures  

Method of Slope-Deflection Equations belongs to displacement method of analysis for solving indeterminate structures.

When a structure is loaded, specified points on it called nodes will undergo unknown displacements which are known as degrees of freedom. The number of these unknowns is referred to as the degree of kinematic indeterminacy of structure.

 

The Displacement method requires;

  •  the unknown displacements to be written in terms of the loads by using the load-displacement relations.

  • these equations are solved for the displacement.

  • after getting the displacements, the unknown loads are determined from the compatibility equations using the load displacement relations.

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In general the Slope-deflection equations for a beam AC can be written as follows;

solved problem 7-4 explains the step-wise and complete application of slope-deflection equations for solving indeterminate structures.

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Last updated on Thursday January 31, 2013