Solution procedure for Indeterminate Structures
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.
Methods for Solving
To solve an indeterminate structure it is necessary to satisfy equilibrium, compatibility and force-displacement requirements of the structure.[1] 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.
The following methods are used to solve indeterminate structures:
- Flexibility method
- Slope deflection method
- Moment distribution method
- Direct stiffness method
- Relative Deformation co-efficient method
See also
- Statically indeterminate
- Static equilibrium
References
- ↑ "Structural Analysis by Hibbeler R.C.(8th Ed. 2011)". Prentice Hall. http://astore.amazon.com/civilbooks-20/detail/013257053X. Retrieved 2013-10-09.
2.An Innovative Method For Analysis Of Indeterminate Structures: Relative Deformation Coefficient Method For Statically Indeterminate Structures
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