How do you solve a statically indeterminate truss?

How do you solve a statically indeterminate truss?

Analysis of Statically Indeterminate Truss Using Force Method: Solved Example

1. Introduction.
2. Step 1: Determine the degree of static indeterminacy.
3. Step 2: Select redundant and remove constraint.
4. Step 3: Analyse the basic system completely and obtain the internal forces.
5. Geometrical Properties.
6. ∑Fy = 0.
7. ∑Fx = 0.
8. Joint B.

What is meant by statically determinate structure?

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 understand by statically determinate and statically indeterminate truss?

In regards to beams, if the reaction forces can be calculated using equilibrium equations alone, they are statically determinate. On the other hand, if the reaction force can’t be determined using equilibrium equations only, other methods have to be used, and the structure is said to be statically indeterminate.

What is a statically determinate problem?

A statically determinate structure is the one in which reactions and internal forces can be determined solely from free-body diagrams and equations of equilibrium.

How do you solve a statically indeterminate structure?

Statically indeterminate structures are solved by the displacement method as if unknown displacements and rotations were chosen. From a system of equilibrium equations we calculate deformations from which internal forces and reactions are calculated.

What is the condition of statically indeterminate truss?

However, a statically indeterminate truss structure is one in which the number of unknown forces and reactions exceed the number of equilibrium equations. It necessary to use compatibility equations to solve for the unknowns. Multiple load paths exist within a statically indeterminate truss structure.

What is the difference between determinate and indeterminate structures?

Determinate structures are analysed just by the use of basic equilibrium equations. By this analysis, the unknown reactions are found for the further determination of stresses. Redundant or indeterminate structures are not capable of being analysed by mere use of basic equilibrium equations.

How do you solve a determinate structure?

The following methods are used to solve indeterminate structures:

1. Flexibility method.
2. Slope deflection method.
3. Moment distribution method.
4. Direct stiffness method.
5. Relative Deformation co-efficient method.

What do you mean by static indeterminacy?

In statics and structural mechanics, a structure is statically indeterminate when the static equilibrium equations – force and moment equilibrium conditions – are insufficient for determining the internal forces and reactions on that structure.