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Related Concept Videos

Simple Trusses01:21

Simple Trusses

3.0K
A truss is a structural framework consisting of slender members connected at joints, designed to support external loads while minimizing material usage and weight. Simple trusses are a type of planar truss where all members lie within a single two-dimensional plane.
The most basic planar truss is a simple truss with three members arranged in a triangular formation. This triangular truss is inherently stable and rigid due to its geometry, making it an ideal starting point for creating more...
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Space Trusses01:25

Space Trusses

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A space truss is a three-dimensional counterpart of a planar truss. These structures consist of members connected at their ends, often utilizing ball-and-socket joints to create a stable and versatile framework. The space truss is widely used in various construction projects due to its adaptability and capacity to withstand complex loads.
At the core of a space truss lies the fundamental unit known as the tetrahedron. This structure is composed of six members that form a three-dimensional shape...
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Space Trusses: Problem Solving01:29

Space Trusses: Problem Solving

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A space truss is a three-dimensional counterpart of a planar truss. These structures consist of members connected at their ends, often utilizing ball-and-socket joints to create a stable and versatile framework. Due to its adaptability and capacity to withstand complex loads, the space truss is widely used in various construction projects.
Consider a tripod consisting of a tetrahedral space truss with a ball-and-socket joint at C. Suppose the height and lengths of the horizontal and vertical...
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Zero-Force Member01:30

Zero-Force Member

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A truss is a framework that comprises slender members connected at their ends by joints. Trusses are widely used in engineering and architecture to stabilize and strengthen structures like bridges, roofs, and towers. Truss members are designed to carry loads through tension and compression, enabling the truss to withstand external forces.
One critical concept in truss design is the idea of zero-force members. It refers to a truss member that experiences no stress under loading conditions.
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Method of Joints01:30

Method of Joints

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The method of joints is a commonly used technique to analyze the forces in structural trusses. The method is based on the principle of equilibrium, which assumes that the truss members are connected by frictionless pins. The forces at each joint can be determined by considering the equilibrium of the forces acting on that joint.
Since plane truss members are in the same plane, each joint is subjected to a coplanar and concurrent force system. To apply the method of joints, the first step is to...
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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.
Frames are versatile and widely used in various applications such as structural supports for beams and columns, automobile chassis construction, and in the construction...
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Spatial Temporal Analysis of Fieldwise Flow in Microvasculature
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Cycle and flow trusses in directed networks.

Taro Takaguchi1, Yuichi Yoshida2

  • 1National Institute of Informatics, ERATO, Kawarabayashi Large Graph Project, 2-1-2 Hitotsubashi, Chiyoda-ku, 101-8430 Tokyo, Japan; JST, ERATO, Kawarabayashi Large Graph Project, 2-1-2 Hitotsubashi, Chiyoda-ku, 101-8430 Tokyo, Japan.

Royal Society Open Science
|December 27, 2016
PubMed
Summary

This study introduces truss structures for analyzing directed networks, identifying distinct cycle and flow trusses. These findings highlight the importance of considering multiple module types in network analysis.

Keywords:
complex networksdata analysisdirected networksmodule structure

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Area of Science:

  • Network Science
  • Graph Theory
  • Data Analysis

Background:

  • Directed networks are crucial for modeling real-world systems.
  • Identifying module structures in directed networks is challenging due to diverse module types.
  • Existing methods lack a unified approach for directed network modules.

Purpose of the Study:

  • To propose a unified framework for analyzing module structures in directed networks.
  • To introduce a generic notion of truss structures capable of extracting distinct module types.
  • To address the lack of consensus on directed module definitions.

Main Methods:

  • Developed a generic definition for truss structures in directed networks.
  • Introduced two distinct types of trusses: cycle trusses and flow trusses.
  • Applied the truss finding method to empirical networks across various fields.

Main Results:

  • Demonstrated that most real-world networks contain both cycle and flow trusses.
  • Showcased the ability of the unified framework to extract these distinct truss types.
  • Observed that the abundance and overlap of trusses can characterize network modules.

Conclusions:

  • The proposed truss structure framework offers a unified approach to directed network analysis.
  • Simultaneously considering cycle and flow trusses is essential for comprehensive module characterization.
  • Findings provide new insights into the structural properties of empirical directed networks.