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Beispiele (40)

Probieren Sie Demo-Rechenblätter von anderen SMath-Nutzern aus. So lernen Sie die Möglichkeiten des Programms kennen. Sie können geöffnete Demos beliebig ändern, testen und mit eigenen Daten nutzen und speichern

Расчёт трубобетонной колонны
von Андрей Ивашов, Кирилл Николаев
Colors of the rainbow
Game to compose colors of the rainbow in correct order.
von Andrey Ivashov
Arabic to Roman numeral conversion
Algorithm for conversion Arabic numerals to Roman numerals. User specifies a number using Arabic digits. Program shows a result of conversion in Roman numerals form.
von Andrey Ivashov, Fred Swartz
Jacobi matrix and Jacobian
Algorithm of Jacobi matrix generation and the definition of the Jacobian. The user specifies a function to construct Jacobian matrix in the loop using partial derivatives. The last step defines the functions to work with the result. All calculations are performs in symbols, with the possibility to get Symbolic and Numeric results of the algorithm.
von Andrey Ivashov
Erste Schritte mit SMath Studio
Interaktive Einführung in die Grundfunktionen von SMath Studio (Zeitbedarf 2 Stunden)
von Martin Kraska
Nonlinear equations solving with chord method
Nonlinear equations solving with chord method. User defines initial equation to proceed, calculation precision and the range. Program returns root of the initial equation, result accuracy and number of iterations.
von Roman Strylets
Solving Linear Systems of Equations with the Cholesky method
Example for the solution of linear systems of equations with positiv definite coefficient matrix, via the Cholesky method
von Dimitrios Toris
Solve of tridiagonal system of equations
The tridiagonal matrix algorithm (TDMA), also known as the Thomas algorithm, is a simplified form of Gaussian elimination that can be used to solve tridiagonal systems of equations. Example shows how to extract diagonals of the matrix and how to use it to calculate the result.
von Radovan Omorjan
Nonlinear systems of equations solving with Newton's method
Newton's method of the nonlinear systems of equations solving. This algorithm can be used to solve standalone equation as well. User specifies system of the equations, first approximations of the roots and the result accuracy. While calculation Jacobi matrix is created. Number of steps (iterations) of the While loop also displayed for the analysis purposes.
von Kirill Nikolaev, Andrey Ivashov
Properties of generic polygons
calculate properties of generic polygons:- perimeter- area- centroid- second moment of area- radii of gyration- elastic section modulus- plastic section modulus- orientation of principal axes of inertia- principal moments of inertia- radius of gyration about principal axes of inertia- shortcuts for easy plots- multilanguage[EN/IT]
von Davide Carpi
Generation of correlated random variable sets with normal distribution
Generates correlated random variables from uncorrelated random variables with normal distribution
von Dimitrios Toris
Text region Fonts
A collection of text regions with different font-families.
von Davide Carpi
Beam load calculation bearing with two supports
Calculation of the Beam load bearing with two supports to find stresses values of the supports. Worksheet requires to specify any number of the Point and/or Uniform Loads. Every input and output data supports values with Uniits.
von Kirill Nikolaev, Andrey Ivashov
2D-Diagramme mit Schraffur und Füllung
Dieses Beispiel demonstriert die Verwendung der Code-Bausteine hatch und fill in 2D-Diagrammen
von Martin Kraska
Embedded Plate calculations
Embedded Plate calculation program. Plate is calculated under static loading. Creates a graphical representation and prepares specifications.
von Andrey Ivashov, Kirill Nikolaev
Fifth-order Runge–Kutta method with adaptive step
Solution of ordinary differential equations using Fifth-order Runge–Kutta method with adaptive step. User defines initial equation coefficients, a Cauchy problem (initial value problem), segment limits and calculations precision. Program converts equation to the system of equations and starts evaluation with the Fifth-order Runge–Kutta method. Algorithm automatically choose the optimal step of the iterations in respect to the specified accuracy. After calculations program represents the graphs of numeric solution using cubic splines interpolation.
von Kirill Nikolaev, Andrey Ivashov
Beam Analysis Sample-3
Analysis of Beam with any number of supports and with any type of loadings.The worksheet requires that the associated Plugin (Structural Beam Analysis Utililty Functions by Redem Legaspi Jr.) be downloaded and enabled from SMath Studio Extension Manager tool.The worksheet does the following: 1.) Plots Beam Diagram, Shear Diagram, Moment Diagram, Deflection 2.) Calculates Support Reactions 3.) Calculates Shear, Moment, and Deflection at any given point.Refer to 'Beam Analysis Input Guide.sm' on how to use the plugin.
von Redem S. Legaspi Jr
Legendre polynomials solving
Solving of Legendre polynomials defined by Rodrigues' formula. User specifies a power of the polinomial to get it's roots. Additionally represented graphs of first five Legendre functions.
von Kirill Nikolaev, Andrey Ivashov
Numeric integration method (Simpson's rule)
Simpson's rule is a method for numerical integration, the numerical approximation of definite integrals. User specifies function to integrate, interval and the number of iterations. At the end of calculation program controls the result with a built-in numerical integration function.
von Andrey Ivashov
Planetary gear with internal teeth
Animation in SMath Studio shown by the example of planetary gear with internal teeth.
von Fridel Selitsky
Beam Analysis Input Guide
Analysis of Beam with any number of supports and with any type of loadings.The worksheet requires that the associated Plugin (Structural Beam Analysis Utililty Functions by Redem Legaspi Jr.) be downloaded and enabled from SMath Studio Extension Manager tool.The worksheet does the following: 1.) Plots Beam Diagram, Shear Diagram, Moment Diagram, Deflection 2.) Calculates Support Reactions 3.) Calculates Shear, Moment, and Deflection at any given point.Refer to 'Beam Analysis Input Guide.sm' on how to use the plugin.
von Redem S. Legaspi Jr
Computation of gravitation acceleration on the object's surface
Example demonstrates a computation of gravitation acceleration on the Solar System astronomical object's surfaces. Computation performed for eight Solar System planets and for the Sun.
von Andrey Ivashov
Steam engine
Oscillating cylinder steam engine
von Fridel Selitsky
Function of the matrix (Sylvester's formula)
Computing the user-defined function of the matrix using Sylvester's formula. Example also shows how to get the coefficients of matrix characteristic polynomial with Leverrie-Faddeev method.
von Kirill Nikolaev
Beam Analysis Sample-7
Analysis of Beam with any number of supports and with any type of loadings.The worksheet requires that the associated Plugin (Structural Beam Analysis Utililty Functions by Redem Legaspi Jr.) be downloaded and enabled from SMath Studio Extension Manager tool.The worksheet does the following: 1.) Plots Beam Diagram, Shear Diagram, Moment Diagram, Deflection 2.) Calculates Support Reactions 3.) Calculates Shear, Moment, and Deflection at any given point.Refer to 'Beam Analysis Input Guide.sm' on how to use the plugin.
von Redem S. Legaspi Jr
Beam Analysis Sample-4
Analysis of Beam with any number of supports and with any type of loadings.The worksheet requires that the associated Plugin (Structural Beam Analysis Utililty Functions by Redem Legaspi Jr.) be downloaded and enabled from SMath Studio Extension Manager tool.The worksheet does the following: 1.) Plots Beam Diagram, Shear Diagram, Moment Diagram, Deflection 2.) Calculates Support Reactions 3.) Calculates Shear, Moment, and Deflection at any given point.Refer to 'Beam Analysis Input Guide.sm' on how to use the plugin.
von Redem S. Legaspi Jr
Foundation calculations
The program of calculation of monolithic reinforced concrete foundations. Calculates the concrete foundation under static loading of an arbitrary number of columns. Creates a graphical representation with the preparation of specifications and steel sampling costs.
von Andrey Ivashov, Kirill Nikolaev
Beam Analysis Sample-2
Analysis of Beam with any number of supports and with any type of loadings.The worksheet requires that the associated Plugin (Structural Beam Analysis Utililty Functions by Redem Legaspi Jr.) be downloaded and enabled from SMath Studio Extension Manager tool.The worksheet does the following: 1.) Plots Beam Diagram, Shear Diagram, Moment Diagram, Deflection 2.) Calculates Support Reactions 3.) Calculates Shear, Moment, and Deflection at any given point.Refer to 'Beam Analysis Input Guide.sm' on how to use the plugin.
von Redem S. Legaspi Jr
Language-Integrated Query (Linq).
Useful functions for working with sets.
von Viacheslav N. Mezentsev
Beam Analysis Sample-6
Analysis of Beam with any number of supports and with any type of loadings.The worksheet requires that the associated Plugin (Structural Beam Analysis Utililty Functions by Redem Legaspi Jr.) be downloaded and enabled from SMath Studio Extension Manager tool.The worksheet does the following: 1.) Plots Beam Diagram, Shear Diagram, Moment Diagram, Deflection 2.) Calculates Support Reactions 3.) Calculates Shear, Moment, and Deflection at any given point.Refer to 'Beam Analysis Input Guide.sm' on how to use the plugin.
von Redem S. Legaspi Jr
Hermite polynomials solving
Solving of Hermite polynomials. User specifies a power of the polinomial to get it's roots. Additionally represented graphs of first five Hermite functions.
von Kirill Nikolaev
Balken-FEM mit grafischer Ein- und Ausgabe
Finite-Elemente-Programm für horizontale 2D-Balken mit exakter Darstellung linearer Streckenlasten. Grafische Systemdefinition, Querkraft-, Momenten- und Biegelinie.
von Martin Kraska
Beam Analysis Sample-5
Analysis of Beam with any number of supports and with any type of loadings.The worksheet requires that the associated Plugin (Structural Beam Analysis Utililty Functions by Redem Legaspi Jr.) be downloaded and enabled from SMath Studio Extension Manager tool.The worksheet does the following: 1.) Plots Beam Diagram, Shear Diagram, Moment Diagram, Deflection 2.) Calculates Support Reactions 3.) Calculates Shear, Moment, and Deflection at any given point.Refer to 'Beam Analysis Input Guide.sm' on how to use the plugin.
von Redem S. Legaspi Jr
Expansion of function to Maclaurin series
Expansion of the user-defined function to Maclaurin series with a custom degree.
von Radovan Omorjan
Laguerre polynomials solving
Solving of Laguerre polynomials. User specifies a power of the polinomial to get it's roots. Additionally represented graphs of first five Laguerre functions.
von Kirill Nikolaev
Beam Analysis Sample-1
Analysis of Beam with any number of supports and with any type of loadings.The worksheet requires that the associated Plugin (Structural Beam Analysis Utililty Functions by Redem Legaspi Jr.) be downloaded and enabled from SMath Studio Extension Manager tool.The worksheet does the following: 1.) Plots Beam Diagram, Shear Diagram, Moment Diagram, Deflection 2.) Calculates Support Reactions 3.) Calculates Shear, Moment, and Deflection at any given point.Refer to 'Beam Analysis Input Guide.sm' on how to use the plugin.
von Redem S. Legaspi Jr
Hesse matrix and Hessian
Algorithm of Hesse matrix generation and the definition of the Hessian. The user specifies a function to construct Hessian matrix in the loop using partial derivatives. The last step defines the functions to work with the result. All calculations are performs in symbols, with the possibility to get Symbolic and Numeric results of the algorithm.
von Andrey Ivashov
Euclidean algorithm (calculating the GCD)
Efficient method for computing the greatest common divisor (GCD), also known as the greatest common factor (GCF) or highest common factor (HCF). The algorithm is also called Euclid's algorithm. User fills in two numbers to find out the GCD. This is a simple Numeric example, that uses While Loop inside.
von Andrey Ivashov
Nonlinear equations solving with dichotomy method
Nonlinear equations solving with dichotomy method. User defines initial equation to proceed, calculation precision and the range. Program returns root of the initial equation, result accuracy and number of iterations.
von Roman Strylets