Difference between static and kinematic indeterminacy
Answers
In statics, a structure is statically indeterminate (or hyperstatic) when the static equilibrium equations are insufficient for determining the internal forces and reactions on that structure. When the number of unknown forces is more than the number of equilibrium equations required to find the forces, then the system is said to be statically indeterminate.
The indeterminacy of a structure that is expressed in terms of its degrees of freedom is known as the kinematic indeterminacy. Kinematic determinacy is used in structural mechanics to describe a structure where material compatibility conditions alone can be used to calculate deflections. It is used specifically in the stiffness method of analysis where the unknowns are the displacements .
Answer: Static indeterminacy- when internal forces and reactions are greater than static equilibrium equations.
Kinematic indeterminacy- when the number of unknown displacement is greater than the number of compatibility equations.
Explanation:
Static indeterminacy - structures are defined as those structures that cannot be statistically analyzed using only equilibrium equations (statics). Statistically indeterminate structures indicate that there is at least one more unknown reaction force than the equilibrium equations, meaning that the sum of the forces and moments in each direction is equal to zero.
Kinematic indeterminacy - If the number of unknown displacement components exceeds the number of compatibility equations, then additional equations based on equilibrium must be written to obtain a sufficient number of equations for the determination of all unknown displacement components for these structures.
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