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0070. Analysis of parabolic and circular three-hinged arches under arbitrary loading in TechEditor
Interactive module for the analysis of parabolic and circular three-hinged arches. A calculator with fully transparent formulas implemented in the TechEditor environment, enabling rapid selection of geometric parameters and evaluation of horizontal thrust, internal forces, and stress state of arch structures. The module combines the clarity of an educational tool with the practical value of a professional engineering calculation.
This solution is designed for structural engineers, educators, and engineering students who need a fast, transparent, and intuitive tool for analyzing the behavior of three-hinged arches. The calculator enables users to assess the efficiency of structural parameters based on arch geometry, loading conditions, and cross-sectional properties.
The tool supports parametric analysis and clearly demonstrates how variations in span, rise, arch axis type, load magnitude, and load distribution affect support reactions, horizontal thrust, bending moments, shear forces, axial forces, and maximum stresses in the arch material.
As an output, the user receives a clear and structured engineering report including key results: bending moment diagrams, shear and axial force diagrams, as well as stress distribution plots across the arch section.
Features & Document Logic
The document is implemented as an interactive calculation with fully transparent logic, where the user can follow the entire engineering workflow — from input parameters to final results — without hidden computational blocks. This approach ensures both rapid evaluation and a deep understanding of the structural model, calculation sequence, and physical meaning of each step.
Input Data
The user defines the primary geometric parameters of the arch, selects the axis type (parabolic or circular), specifies loads in the form of distributed loads and concentrated forces, and inputs cross-sectional properties required for stress evaluation.
Algorithm
The document performs automatic calculation of support reactions, horizontal thrust, bending moment functions, shear and axial forces, and normal stresses in the extreme fibers of the arch. The computational logic is designed to be compact, transparent, and directly applicable to engineering practice.
Visualization
All formulas remain fully visible, and results are presented alongside a clear calculation flow, explanations, and graphical interpretation. The user obtains intuitive diagrams of bending moments, shear and axial forces, as well as stress distribution plots along the arch span.
Flexibility
The document is easily adaptable to specific engineering problems, allowing quick modification of geometry, arch axis type, loading scheme, and cross-section parameters. It can also be extended with additional calculation modules if required.
Important: You can adapt the document to your specific needs — edit formulas, add schemes, or change units of measurement. TechEditor automatically handles unit conversion and dimension control, correctly calculating expressions with mixed units.
Technical Specifications & Standards
Solution Type: Engineering report with automated calculation of a three-hinged arch.
Analysis Model: Analytical (parametric).
Application: Intended for preliminary design, engineering verification, and educational analysis in structural and related engineering tasks.
Parametric Control: Arch geometry, loading conditions, coefficients, and graphical output.
Standards and Design Basis: The document aligns with common engineering practice for assessing the load-bearing behavior of arch structures. The approach is material-independent and applicable to steel, reinforced concrete, timber, and composite arches, as it primarily focuses on internal force distribution and stress analysis. Further design checks can be performed in accordance with relevant standards, such as:
- For steel arches: DBN V.2.6-198:2014
- For reinforced concrete arches: DBN V.2.6-98:2009
- For timber arches: DBN V.2.6-161:2017
File Format: .tec (TechEditor Project).
Document Language: Ukrainian (Technical).
Output: On-screen review, report printing, export to PDF, RTF, DOCX, or image.
How to Use This Solution
- Download and install TechEditor on your computer (you must be registered in the Dystlab Store).
- Download this digital solution (.tec file).
- Open the file on your computer.
- Modify the input data. Ensure all calculations in the document update automatically (if auto-calculation is off, press F5 for a manual recalculation).
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17.04.2026 ver. 1
- first release;
- tested in TechEditor 5.7.2;
System requirements for TechEditor environment
Operating system:
- Windows (recommended 11 or higher);
- macOS (12.0 or higher) — through the Parallels Desktop emulator;
Monitor, memory, processor:
- screen resolution: recommended 1920x1080 pixels and higher; minimum 1366x768 pixels;
- RAM: 8 GB and above is recommended; minimum 1 GB;
- Hard drive (HDD/SSD): 500 MB and above recommended; minimum 100 MB;
- processor frequency (CPU): 3.0 GHz and higher is recommended; minimum 1.0 GHz.
Browser and Internet access:
Internet access is required and is used for user web authorization, web content downloads, communication with LLM, and other functions.
Dystlab Open Collaborative License
These digital solutions are provided “as is”, without any warranties of any kind, express or implied, including but not limited to warranties of accuracy, completeness, fitness for a particular purpose, or compliance with any standards or regulations. The developers, authors, and participating organizations shall not be liable for any direct, indirect, incidental, consequential, or other damages arising from the use or inability to use these solutions.
Permission is hereby granted to use, copy, reproduce, distribute, modify, adapt, and create derivative works of these digital solutions without restriction.
It is prohibited to sell, license, rent, lease, or otherwise commercially distribute these digital solutions as a standalone product, whether in their original or modified form, in exchange for monetary compensation.
At the same time, the use of these solutions as part of commercial projects, engineering works, research activities, or services is expressly permitted, provided that the solutions themselves are not the primary object of sale, licensing, or rental.
This license is intended to support open science, engineering practice, and the free exchange of knowledge, while preventing unauthorized commercial exploitation of the digital solutions as independent products.
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Dystlab TechEditor
Technology center Dystlab
We develop digital solutions for engineering companies and design businesses. We advise, research, and help with the automation of calculations, design, and systematization of technical documentation.
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