What is significance of static indeterminacy?

The equilibrium equations are: Σ V = 0: VA − Fv + VB + VC = 0. Since there are four unknown forces (or variables) (VA, VB, VC and HA) but only three equilibrium equations, this system of simultaneous equations does not have a unique solution. The structure is therefore classified as statically indeterminate.

What are the advantages of static indeterminacy?

Statically indeterminate structure have capacity to redistribute the loads. If a part (or member or support) of such a structure fails, the entire structure will not necessarily collapse, and the loads will be redistributed to the adjacent portions of the structure.

What is the importance of knowing the Determinacy of structures?

Prior to the choice of an analytical method, it is important to establish the determinacy and stability of a structure. A determinate structure is one whose unknown external reaction or internal members can be determined using only the conditions of equilibrium.

What is degree of indeterminacy of structure explain its significance with examples?

The degree of indeterminacy represents the difference between the unknown forces to the number of equilibrium equations. A structure is statically indeterminate to the second degree when it has four unknown reaction forces, while there are only six equations of equilibrium.

How will you find static indeterminacy in rigid structure?

Determinate Structure: if equilibrium equations are sufficient to analyse for unknown forces, Structure is said to be statically determinate. If the equilibrium equations are not sufficient to analyse the structure for the unknown forces, the structure is said to be statically indeterminate.

What is static indeterminacy and kinematic indeterminacy?

If it cannot be analyzed by the equation of static equilibrium alone, then it is called a statically indeterminate structure. Eg: Fixed beam. A structural system is said to be kinematically indeterminate if the displacement components of its joints cannot be determined by the compatibility equation alone.

When solving truss forces Why is it important to know that the structure is statically determinate?

It is important to know that a truss is statically determinate before attempting to solve for the internal forces. If the truss is statically indeterminate, then you will not be able to solve for all of the forces. The trusses 1, 2, and 3 are statically indeterminate based on the formula 2J = M + R.

What is Determinacy in structural analysis?

A statically determinate structure is one that is stable and all unknown reactive forces can be determined from the equations of equilibrium alone. A statically indeterminate structure is one that is stable but contains more unknown forces than available equations of equilibrium.

What do you mean by Determinacy in structural analysis?

Internal Determinacy: The ability to calculate all of the external reaction component forces and internal forces using only static equilibrium. A structure for which the internal forces cannot be calculated using only equilibrium is internally statically indeterminate.

What is external static indeterminacy?

External Determinacy: The ability to calculate all of the external reaction component forces using only static equilibrium. A structure for which the external reactions component forces cannot be calculated using only equilibrium is externally statically indeterminate.