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Design Example: Dimensioning of Concrete Masonry Construction01:13

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For the construction of a storeroom using concrete masonry units, it's essential to align the dimensions of the structure with the actual sizes of the blocks and the intended mortar joints. On the site in question, there's a stockpile of concrete masonry blocks with a nominal size of eight by eight by sixteen inches, which are to be used in the construction of the storeroom.
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When a substance—isolated from its environment—is subjected to heat changes, corresponding changes in temperature and phase of the substance is observed; this is graphically represented by heating and cooling curves.
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The alternative coordinate method, also known as the Shoelace Formula, is a technique for determining the area of a traverse using Cartesian coordinates. This method relies on the sequential arrangement of x and y coordinates for each point of the shape, ensuring accuracy and ease of application.In this approach, each corner's x and y coordinates are listed as fractions, with the x-coordinate as the numerator and the y-coordinate as the denominator. These coordinates are arranged sequentially...
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Unsymmetric Loading of Thin-Walled Members01:23

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Thin-walled members with non-symmetrical cross-sections are vital to engineering structures, offering material efficiency and structural integrity. However, unsymmetrical loading on these members leads to complex stress distributions, resulting in simultaneous bending and twisting can cause deformation or structural failure. The interaction between bending and twisting requires detailed analysis to ensure structural resilience.
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Unsymmetric Loading of Thin-Walled Members: Problem Solving01:07

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The shear center of a channel section with uniform thickness, height, and width, is determined by computing the shear force in the member and calculating the moments of inertia of the sections.
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San Francisco's Golden Gate Bridge is exposed to temperatures ranging from -15 °C to 40 °C. At its coldest, the main span of the bridge is 1275 m long. Assuming that the bridge is made entirely of steel, what is the change in its length between these temperatures?
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Related Experiment Video

Updated: Oct 2, 2025

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
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Variable Offset Computation Space for Automatic Cooling Dimensioning.

Christian Hopmann1, Daniel Colin Fritsche1, Tobias Hohlweck1

  • 1Institute for Plastics Processing (IKV) in Industry and Craft at RWTH Aachen University, 52070 Aachen, Germany.

Polymers
|February 26, 2022
PubMed
Summary
This summary is machine-generated.

Optimizing injection mold thermal design is key for part precision. An automated offset generation algorithm improves thermal balance and part quality by 43% in complex geometries.

Keywords:
cooling channelmedial axismold designthermal simulationvariable offset

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Area of Science:

  • Manufacturing Engineering
  • Materials Science
  • Computational Engineering

Background:

  • Injection mold thermal design, specifically cooling channels, is critical for part precision and quality in mass production.
  • Knowledge-based and automated methods are employed for optimal heat management in molds.
  • Inverse thermal mold design utilizes a specific calculation space, where geometric boundary conditions significantly impact the thermal balance.

Purpose of the Study:

  • To investigate the influence of the calculation area (offset around the molded part) on inverse thermal mold design optimization.
  • To develop an algorithm for generating a reproducible and adaptive offset for complex geometries in thermal mold design.
  • To enhance the quality function result through improved thermal optimization.

Main Methods:

  • Utilized inverse thermal mold design principles with a focus on geometric boundary conditions.
  • Analyzed the impact of offset shape, thickness, and concave geometry coalescence on thermal optimization.
  • Developed and implemented an algorithm for automated, adaptive offset generation in thermal mold design.

Main Results:

  • Thermal optimizations demonstrated a dependency on different offset shapes and parameters.
  • The developed algorithm successfully generated reproducible and adaptive offsets for complex geometries.
  • A significant improvement of 43% in the quality function result was achieved in the example case.

Conclusions:

  • The geometric boundary conditions, particularly the offset, are crucial for inverse thermal mold design.
  • The developed algorithm effectively addresses the challenges of offset generation for complex shapes.
  • Automated offset generation significantly enhances thermal mold design, leading to improved part quality and production reproducibility.