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Relative Motion Analysis using Rotating Axes-Problem Solving01:29

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Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
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Consider a jib crane with an external load suspended from the pulley. The dimensions of the crane members are shown in the figure. A systematic analysis of the frame structure is required to determine the reaction forces at the pin joints, assuming that the pulleys are frictionless.
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Frames: Problem Solving II01:26

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Consider a hydraulic hoist supporting a load of 1 kN. Assuming a simplified schematic representation of this frame structure, the force acting on BD and BF members can be determined.
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Absolute Motion Analysis- General Plane Motion01:24

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Visualize a drone, with its propellers spinning rapidly, hovering mid-air. The fascinating movements and operations of this drone can be comprehended by applying the principle of general plane motion.
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Frames01:30

Frames

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Frames are essential components of various mechanical and structural systems used daily. These structures are known for their stability and ability to bear heavy loads. A frame is constructed using two-force and multi-force members, interconnected using pin joints. In contrast, trusses are made entirely of two-force members.
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Equation of Motion: General Plane motion - Problem Solving01:16

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Consider a lawn roller with a mass of 100 kg, a radius of 0.2 meters, and a radius of gyration of 0.15 meters. A force of 200 N is applied to this roller, angled at 60 degrees from the horizontal plane. What will be the angular acceleration of the lawn roller?
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Related Experiment Video

Updated: Feb 28, 2026

Author Spotlight: Assessment of Visual Acuity in Central Vision Loss Through Motion-Based Peripheral Vision Testing
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Research on an Automatic Solution Method for Plane Frames Based on Computer Vision.

Dejiang Wang1, Shuzhe Fan1

  • 1School of Mechanics and Engineering Science, Shanghai University, 99 Shangda Road, Shanghai 200444, China.

Sensors (Basel, Switzerland)
|February 27, 2026
PubMed
Summary

This study introduces a deep learning method for automatic internal force analysis of plane frames from images. The approach achieves over 90% accuracy, offering a faster, more efficient alternative to traditional structural mechanics calculations.

Keywords:
YOLOobject detectionplane framestructural internal force analysisstructural mechanics

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Area of Science:

  • Structural Engineering
  • Computer Vision
  • Artificial Intelligence

Background:

  • Traditional internal force analysis of plane frames is time-consuming and error-prone.
  • General-purpose Finite Element Analysis (FEA) software has limitations in pre-processing and learning curve.
  • There is a need for rapid and intelligent solutions in structural analysis.

Purpose of the Study:

  • To develop a deep learning-based automatic solution for plane frame internal force analysis.
  • To extract structural information from printed schematics using computer vision.
  • To enable rapid and accurate internal force calculation and visualization.

Main Methods:

  • Image acquisition of plane frame schematics using smartphones.
  • Image pre-processing including rectification and enhancement.
  • Object detection and recognition using the YOLOv8 algorithm to extract structural data (nodes, loads, constraints).
  • Static analysis using the Matrix Displacement Method for internal force calculation.
  • Generation of internal force diagrams.

Main Results:

  • Achieved 99.1% detection accuracy for structural primitives.
  • Exceeded 90% overall solution accuracy for mechanical problems in the test set.
  • Demonstrated a convenient and efficient computational method for plane frame analysis.

Conclusions:

  • The proposed deep learning method significantly improves the efficiency and convenience of plane frame internal force analysis.
  • This approach automates the extraction of structural information and subsequent analysis.
  • The method shows high accuracy and potential for practical application in structural engineering.