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Shear and Bending Moment Diagram: Problem Solving01:24

Shear and Bending Moment Diagram: Problem Solving

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When analyzing a beam supporting concentrated loads and a distributed load, drawing the shear and bending moment diagrams is essential. These diagrams help understand the internal forces and moments acting on the beam, which is crucial for designing safe and efficient structures. Follow these steps to create the shear and bending moment diagrams:
Draw a Free-Body Diagram: Start by drawing a free-body diagram of the entire beam, including the concentrated loads, distributed load, and reaction...
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Indeterminate Structure01:18

Indeterminate Structure

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Indeterminate structures refer to structures where internal forces and reactions cannot be determined using only the equations of static equilibrium.  Indeterminate structures have more unknown forces and reaction forces than equations of static equilibrium that can be used to determine them. Indeterminate structures are often used in engineering to create complex, efficient, and aesthetically pleasing structures. There are various types of indeterminate structures used in engineering and...
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Bending Moment Diagram01:30

Bending Moment Diagram

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A bending moment diagram is a graphical representation of the bending moments experienced by a beam under load along the beam length. It is an essential tool for engineers and designers to analyze structures and ensure they can withstand applied forces. The steps to create the bending moment diagram for a beam are listed below.
Determine reactive forces and couple moments: Calculate all the reactive forces and couple moments acting on the beam. In certain cases, when the beam is inclined at an...
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Dynamic Modulus of Elasticity of Concrete01:16

Dynamic Modulus of Elasticity of Concrete

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The dynamic modulus of elasticity assesses how a concrete structure deforms under impact or dynamic loads. It is typically higher than the static modulus of elasticity, measured under slow, steady loading conditions.
The sonic test is a common method to determine the dynamic modulus. In this test, a concrete beam, sized either 6 x 6 x 30 inches or 4 x 4 x 20 inches, is clamped at its center. Vibrations are initiated at one end of the beam by an electromagnetic exciter unit powered by a...
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Method of Superposition01:20

Method of Superposition

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The method of superposition is a crucial technique in structural engineering, used to analyze the effect of multiple loads on beams. This approach involves calculating the deflection and slope for each load on a beam separately, and then summing these effects to determine the overall impact. It is applicable only when the beam material remains within its elastic limit, ensuring that deformations are linearly elastic.
When applying the method of superposition, each type of load—whether...
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Method of Sections01:30

Method of Sections

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Consider a truss structure, as shown in the figure.
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Related Experiment Video

Updated: Jan 16, 2026

Author Spotlight: Streamlining Visual Dynamics to Simplify Molecular Dynamics Simulations Using Gromacs
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An OpenSEES graphical user interface for structural dynamics and earthquake engineering instruction.

Gökhan Yazici1, Bilal Ein Larouzi2

  • 1Civil Engineering Department, İstanbul University-Cerrahpaşa, Istanbul, Turkey. gokhan.yazici@iuc.edu.tr.

Scientific Reports
|October 2, 2025
PubMed
Summary

This study introduces a MATLAB-based Graphical User Interface (GUI) to simplify structural dynamics and earthquake engineering simulations for students. The tool aids in understanding complex numerical analyses and OpenSEES software for seismic engineering applications.

Keywords:
Earthquake engineeringEngineering educationGraphical user interfaceModal analysisOpenSEESSeismic isolationStructural dynamicsTime history analysis

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Area of Science:

  • Civil Engineering
  • Structural Dynamics
  • Earthquake Engineering

Background:

  • Structural dynamics and earthquake engineering present significant numerical challenges for students, particularly undergraduates.
  • Solving differential equations of motion numerically is a complex aspect of these fields.
  • OpenSEES is a key open-source software for structural and geotechnical simulations.

Purpose of the Study:

  • To develop an educational Graphical User Interface (GUI) for OpenSEES using MATLAB App Designer.
  • To simplify the process of modeling structural and seismic isolation systems.
  • To enhance student understanding of structural dynamics and earthquake engineering principles.

Main Methods:

  • Development of a GUI using MATLAB App Designer.
  • Implementation of modules for single-degree-of-freedom (SDOF) and multi-degree-of-freedom (MDOF) systems.
  • Generation of input files for OpenSEES and visualization tools for analysis results.

Main Results:

  • The GUI simplifies the creation of structural and seismic isolation models.
  • It facilitates numerical analysis of SDOF systems via a MATLAB solver.
  • Enables linear time history analysis for fixed-based and seismically isolated shear frames.

Conclusions:

  • The developed GUI effectively addresses the complexities of numerical analysis in structural dynamics.
  • It serves as a valuable, accessible educational tool for undergraduate and graduate students.
  • The GUI promotes a better understanding of OpenSEES for modeling seismic engineering applications.