Jednostavni statički neodređeni sustavi
Ana Maria Groznica
Abstract
Ana Maria Groznica
Abstract
The topic of this thesis are simple statically indeterminate systems. In static analysis of real structures in construction, system analyses are preformed depending on whether the system is statically determinate or indeterminate. The difference between the two systems is in the number of external and/or internal connections; while statically indeterminate have the correct number of links sufficient for geometric invariability, statically indeterminate have at least one link more. The definitions, advantages, and disadvantages of statically indeterminate systems are given at the beginning of the paper. The procedure of determining the degree of static indeterminacy and the procedure for solving indeterminate systems by the force method are presented. The central part includes a continuous beam and the solution of such beam by the Clapeyron equation. The last section describes energy theorems, more specifically Castigliano theorems and their application to the analysis of statically indeterminate systems, and numerical examples of the continuous beam and the application of Castigliano theorems.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
The topic of this thesis are simple statically indeterminate systems. In static analysis of real structures in construction, system analyses are preformed depending on whether the system is statically determinate or indeterminate. The difference between the two systems is in the number of external and/or internal connections; while statically indeterminate have the correct number of links sufficient for geometric invariability, statically indeterminate have at least one link more. The definitions, advantages, and disadvantages of statically indeterminate systems are given at the beginning of the paper. The procedure of determining the degree of static indeterminacy and the procedure for solving indeterminate systems by the force method are presented. The central part includes a continuous beam and the solution of such beam by the Clapeyron equation. The last section describes energy theorems, more specifically Castigliano theorems and their application to the analysis of statically indeterminate systems, and numerical examples of the continuous beam and the application of Castigliano theorems.
Key concepts: Statically indeterminate, Indeterminate, Indeterminacy (philosophy), Beam (structure), Mathematics, Computer science, Structural engineering, Pure mathematics