Automated Computation and Visualization of Shear Force and Bending Moment Diagrams

Vijay Kumar Samyal; Md Motiur Rahman; Md Wasim Akram

Automated Computation and Visualization of Shear Force and Bending Moment Diagrams

Author(s)	Dr. Vijay Kumar Samyal, Mr. Md Motiur Rahman, Mr. Md Wasim Akram
Country	India
Abstract	Structural analysis forms the foundational pillar (Column) of civil engineering design, primarily guaranteeing the structural integrity and long-term safety of beams and frameworks under various operational loads. The traditional, often manual, derivation of shear force and bending moment diagrams (SFD and BMD) frequently results in substantial time expenditure and increased exposure to human transcription or calculation errors, particularly for structures featuring complex geometry or multiple superimposed loading cases. This research details the conceptual design and practical development of a bespoke automated software application implemented in Java, which employs JavaFX for facilitating a dynamic user interaction experience and integrates the JFreeChart library for precise, publication-quality graphical visualization. The system accurately computes both shear forces and bending moments for a wide array of beam configurations, grounding its calculations in the fundamental equations of static equilibrium. It efficiently processes essential input parameters, including the overall span length, specific boundary conditions, and all relevant loading types. The finalized results are processed through rigorously designed, object-oriented modules and displayed interactively on the GUI. Validation exercises, utilizing established industry benchmark examples, conclusively demonstrate that the proposed automated system achieves a significant reduction in total computational time, conservatively measured at 85%, while maintaining an exemplary precision level with an error margin consistently below 1% when compared to laborious manual analysis methods. This extensive paper systematically covers the underlying mathematical formulations, the resilient system architecture, the detailed algorithmic workflow, and the advanced visualization features, thus serving as both a comprehensive academic reference and an invaluable professional computational tool for practicing civil engineers.
Keywords	Structural analysis, shear force diagram (SFD), bending moment diagram (BMD), automated computation, Java-based structural tool, JavaFX interface, JFreeChart visualization, beam analysis, static equilibrium, civil engineering software, computational mechanics, object-oriented design, structural modeling, load processing, graphical analysis, engineering automation, finite structural analysis, benchmark validation, error minimization, interactive GUI, structural integrity assessment.
Field	Engineering
Published In	Volume 16, Issue 4, October-December 2025
Published On	2025-12-12

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Automated Computation and Visualization of Shear Force and Bending Moment Diagrams

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