Introduction
Solving a structure means determining the unknown internal forces, reactions and displacements of the structure. When a structure can be solved by using the equations of static equilibrium alone, it is known as determinate structure. A structure can be termed as Indeterminate structure if it can not be solved by using the equations of equilibrium alone. Some examples of indeterminate structures are fixed-fixed beam, continuous beam, propped cantilever etc.
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Methods for Solving
To solve an indeterminate structure it is necessary to satisfy equilibrium, compatibility and force-displacement requirements of the structure. The additional equations required to solve indeterminate structure are obtained by the conditions of compatibility and/or force-displacement relations. The number of additional equations required to solve an indeterminate structure is known as degree of indeterminacy. Based on the types of unknown, a structure can be termed as Statically indeterminate or kinematically indeterminate.
There are following methods to solve indeterminate structures;
- Method of consistent deformation
- Slope-deflection equations
- Moment distribution method
- Stiffness method
- Flexibility method