Why indeterminate structures are economical than determinate structure?

Indeterminate structures are economical than determinate structure. Explanation: The following structure has minimum three reaction required for statically stability, it has no concurrent reactions and thus it is geometrically stable. But the given has three internal hinges and thus it is internally unstable.

Which is better determinate or indeterminate structure?

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.

Which structure is more stable determinate or indeterminate 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 are the advantages of using indeterminate beams?

analysis is more complicated.

stresses and deflections are smaller.

redundant supports → improved stability & lower chance of collapse due to overload (wind, earthquake, etc) or poor design.

What is the difference between unstable and statically indeterminate?

If the number of unknowns exceeds the number of equations, the structure is statically indeterminate. The degree of indeterminacy is equal to the number of unknowns minus the number of equations. When there are fewer reactions than there are equations, however, this makes the beam unstable.

What is the difference between determinate structure and indeterminate structure?

Determinate structures are analyzed 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 analyzed by mere use of basic equilibrium equations.

How do you know if a structure is determinate?

If the number of equations = the number of unknowns, then the structure is statically determinate. If, on the other hand, number of equations < the number of unknowns, the structure is statically indeterminate, and hence, other methods need to be used to analyze it.

Can a structure be unstable and determinate?

Criteria 1a: A structure is unstable if a joint in the structure can be displaced without causing any member deformation in the structure. Removal of one support or of one connection fixity will make a stable and determinate structure unstable.

What is determinate structure?

1. Statically determinate structures. 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.

What is an indeterminate structure?

Indeterminate structures are series of connected elements used in building members like beam, truss, and frames and will consist of additional elements not required for keeping the structure stable. Example of indeterminate structures is continuous beam, fixed beam, propped cantilever beams, etc.