2D Data fitting
This calculation allows
obtaining approximation of data using generalized Pade (rational) functions.
The accuracy of approximation can be managed by user changing values of
three main parameters: number of coefficients of Pade function;
given accuracy, and correlation coefficient of data fitting.
We suppose that this calculation will be useful for researchers and engineers looking
for good approximation of data with simple formula.
Cantilever beams & simply supported beams
Calculates reactions, bending moments, shear forces and deflections of
statically determined beams.
The result is represented as diagrams of these components of the beam.
Calculation is helpful not only for structural engineers,
but also for students because all main steps (formulas) of the solution are provided.
Bending of statically indeterminate (continuous ) beams
Calculates reactions, bending moments, shear forces and deflections of
statically indeterminate (continuous ) beams. The result is represented as diagrams of these components of the beam.
All main steps (formulas) of the solution are provided.
Trusses
The purpose of this model is calculation
of reactions and internal forces of tension or compression in truss members
of statically determinate 2D trusses. It is helpful not only for structural
engineers, but also for students because all main steps of the solution are provided.
Bending of isotropic and orthotropic rectangular plate
Calculates deflections and stresses of simply supported orthotropic rectangular plate under uniformly distributed load applied to rectangular area. The approximation formula for deflection function is provided.
Buckling of isotropic and orthotropic rectangular plates.
Calculates the critical load of simply supported rectangular plate uniformly compressed in two directions.
Shock absorber
Calculates the main characteristics of a novel shock (energy) absorber: load-displacement diagram, maximum stresses and absorption energy for a cycle of loading. The shock absorber contains spring and thin elastic reversing shell of revolution with nonlinear behavior. The methodology of calculation is based on the application of new asymptotic formulae, obtained for the Reissner's equations describing axially symmetric deformation of the orthotropic thin shells of revolution by large deflections. The accuracy of the asymptotic formulae corresponds to the accuracy of the initial equations of thin shell theory.
Orthotropic spherical shell under concentrated force
Calculates the nonlinear load-displacement diagram, maximum stresses by large deflections of the orthotropic clamped spherical thin shell under concentrated force. The methodology of calculation is based on the application of new asymptotic formulae, obtained for the Reissner's equations describing axially symmetric deformation of the orthotropic thin shells of revolution by large deflections. The accuracy of the asymptotic formulae corresponds to the accuracy of the initial equations of thin shell theory.
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