Benvenuti in SMath Studio nel Cloud

Embedded Plate calculation program. Plate is calculated under static loading. Creates a graphical representation and prepares specifications.

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.

A collection of text regions with different font-families.

2D horizontal beam finite element analysis with exact representation of trapezoidal distributed loads. Features an interactive preprocessor and graphic and tabular output

This example demonstrates the usage of the snippets hatch and fill in 2D plots

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.

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.

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.

Expansion of the user-defined function to Maclaurin series with a custom degree.

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.

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.

Generates correlated random variables from uncorrelated random variables with normal distribution

Extracts the Geometric/Dimensional Properties of AISC (American Institute of Steel Construction) Shapes. The plugin eliminates the need of a look-up table or the use of the Shape Table from AISC Construction Manual.

calcolo delle proprietà di poligoni generici:- perimetro- area- baricentro- momenti di inerzia - raggi giratori d'inerzia- moduli di resistenza- moduli di resistenza pastici- orientamento degli assi principali di inerzia- momenti principali di inerzia- raggi giratori relativi agli assi principali di inerzia- scorciatoie per geometrie semplici- multilingua[EN/IT]

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.

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.

Solving of Laguerre polynomials. User specifies a power of the polinomial to get it's roots. Additionally represented graphs of first five Laguerre functions.

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.

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.

Example for the solution of linear systems of equations with positiv definite coefficient matrix, via the Cholesky 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.

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.

Animation in SMath Studio shown by the example of planetary gear with internal teeth.

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.

Oscillating cylinder steam engine

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.

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.

Useful functions for working with sets.

Solving of Hermite polynomials. User specifies a power of the polinomial to get it's roots. Additionally represented graphs of first five Hermite functions.

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.

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.

Game to compose colors of the rainbow in correct order.

Interactive guide to make you familiar with basic features of SMath Studio (appr. 2h)

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.

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.

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.

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.

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.

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.