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🔥 Content Introduction
This article will explore the design and implementation of a mechanical calculation software aimed at engineering technicians, which can effectively analyze key mechanical parameters such as principal stress, principal strain, and strain energy ratio under biaxial stress, triaxial stress, and spatial stress states. The software also features a simple analysis function for slanted bending of rectangular cross-section beams. This article will focus on the software’s customer-facing main interface design and provide a brief overview of the core calculation modules.
Purpose: The program can analyze biaxial stress states, biaxial strain situations, triaxial stress states, and principal strain, strain energy ratios, and simple slanted bending analysis of rectangular cross-section beams.
Biaxial Stress State: Users input known normal stress, shear stress, inclined section angle, material parameters, and the system calculates the principal stress, principal shear stress, orientation angles of the principal planes and principal shear planes, normal stress, shear stress, linear strain, shear strain, total strain energy ratio, volumetric strain energy ratio, and shape strain energy ratio at a specific orientation angle.
Triaxial Stress State: Users input known normal stress, shear stress, and section coefficients, and the system calculates the principal stress, principal shear stress, draws the stress circle, principal linear strain, and strain energy ratio.
1. Software Function Overview
The software aims to provide engineers with a convenient and efficient mechanical calculation platform, covering the following core functionalities:
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Biaxial Stress State Analysis: The software can calculate and output the following results based on user-inputted known normal stresses (σx, σy), shear stress (τxy), inclined section angle (θ), and material parameters (Elastic Modulus E, Poisson’s ratio μ):
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Principal Stress (σ1, σ2): Represents the maximum and minimum normal stresses experienced by the material at that point.
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Principal Shear Stress (τmax): Represents the maximum shear stress experienced by the material at that point.
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Principal Plane Orientation Angle (θp): Represents the angle between the principal stress direction and the reference coordinate system x-axis.
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Principal Shear Plane Orientation Angle (θs): Represents the angle between the plane of maximum shear stress and the reference coordinate system x-axis.
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Normal Stress (σθ) and Shear Stress (τθ) at Any Orientation Angle: Based on the user-specified angle θ, calculates the normal and shear stresses on that plane.
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Linear Strain (εx, εy, γxy): Based on generalized Hooke’s law, calculates the normal strains in the x and y directions and the shear strain in the xy plane.
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Total Strain Energy Ratio (U): Represents the total strain energy stored per unit volume.
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Volumetric Strain Energy Ratio (Uv): Represents the strain energy caused by volume changes stored per unit volume.
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Shape Strain Energy Ratio (Us): Represents the strain energy caused by shape changes stored per unit volume. (Us = U – Uv)
Triaxial Stress State Analysis: The software can calculate and output the following results based on user-inputted known triaxial normal stresses (σx, σy, σz), shear stresses (τxy, τyz, τzx), and relevant section coefficients:
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Principal Stress (σ1, σ2, σ3): Calculates the principal stresses in three directions at that point.
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Principal Shear Stress (τmax): Calculates the maximum shear stress at that point.
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Stress Circle: The software will draw Mohr’s circle to visually represent the triaxial stress state.
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Principal Linear Strain (ε1, ε2, ε3): Calculates principal strains based on principal stresses and material parameters.
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Strain Energy Ratio (U): Calculates the total strain energy per unit volume.
Spatial Stress State Analysis: The software will extend to handle more complex spatial stress states, using advanced methods such as tensor analysis for calculations.
Simple Slanted Bending Analysis of Rectangular Cross-Section Beams: The software can analyze the internal force distribution and deformation of rectangular cross-section beams under slanted bending loads based on user-inputted load, dimensions, and material parameters.
2. Customer-Focused Main Interface Design
The software’s main interface will adopt a modular design, clearly dividing various functional modules for user convenience. The interface design should follow these principles:
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Intuitiveness: Use clear and simple icons and labels, avoiding technical jargon to enhance user experience.
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Usability: Provide clear input fields and output areas for easy data entry and result viewing.
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Reliability: Implement effective validation for user inputs to prevent calculation errors due to incorrect entries.
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Scalability: Reserve interfaces for future extension of new functional modules.
For the biaxial stress state analysis, the interface will include the following input areas:
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Material Parameter Input Area: Input Elastic Modulus E and Poisson’s ratio μ.
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Stress Input Area: Input known normal stresses σx, σy and shear stress τxy.
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Angle Input Area: Input inclined section angle θ.
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Calculate Button: Click to initiate the calculation process.
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Result Output Area: Display calculation results, including principal stress, principal shear stress, principal plane orientation angle, normal and shear stresses at any orientation angle, linear strain, strain energy ratio, etc. Results will be presented in tables and graphs for user comprehension.
For the triaxial stress state analysis, the interface will include similar input areas and add a display area for the stress circle. The result output area will include principal stress, principal shear stress, principal linear strain, strain energy ratio, etc.
3. Technical Implementation
The software’s backend will employ efficient numerical computation methods such as matrix operations and iterative algorithms to ensure calculation accuracy and speed. Programming languages can include Python, C++, or MATLAB, and will fully utilize relevant scientific computing libraries such as NumPy and SciPy. Frontend interface design may use GUI libraries such as Qt or Tkinter to create a user-friendly interactive interface. To ensure data accuracy, strict error handling and fault tolerance mechanisms will be implemented within the software.
4. Conclusion
This article briefly introduces the design and implementation of a mechanical calculation software, focusing on its customer-facing main interface design. By providing convenient calculation functions and intuitive interface design, the software will greatly enhance engineers’ work efficiency and aid in effectively solving engineering problems. Future work will focus on improving software functionality, enhancing calculation accuracy, and optimizing the user interface, ultimately creating a powerful, easy-to-use, and reliable engineering mechanics calculation tool.
📣 Part of the Code
ERXIANG(‘CALLBACK’,hObject,eventData,handles,…) calls the local
% function named CALLBACK in ERXIANG.M with the given input arguments.
%
% ERXIANG(‘Property’,’Value’,…) creates a new ERXIANG or raises the
% existing singleton*. Starting from the left, property value pairs are
% applied to the GUI before erxiang_OpeningFcn gets called. An
% unrecognized property name or invalid value makes property application
% stop. All inputs are passed to erxiang_OpeningFcn via varargin.
%
% *See GUI Options on GUIDE’s Tools menu. Choose “GUI allows only one
% instance to run (singleton)”.
%
% See also: GUIDE, GUIDATA, GUIHANDLES
% Edit the above text to modify the response to help erxiang
% Last Modified by GUIDE v2.5 30-Dec-2015 17:16:11
% Begin initialization code – DO NOT EDIT
gui_Singleton = 1;
gui_State = struct(‘gui_Name’, mfilename, …
⛳️ Running Results
🔗 References
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