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Related Concept Videos

Stress Concentrations01:24

Stress Concentrations

Stress concentration is when stress intensifies near discontinuities such as holes or abrupt cross-sectional changes in a structural member. This localized stress can often surpass the average stress within the member. The stress distribution in flat bars, either with a circular hole or varying widths connected by fillets, can be determined experimentally using a photoelastic method. The results are based on ratios of geometric parameters like the ratio of the hole's radius to the smaller width...
Stress Concentrations01:13

Stress Concentrations

The concept of stress concentration is crucial for understanding how materials respond under bending stresses, particularly when there are irregularities or discontinuities in the material's geometry. Normally, stress in a symmetric member subjected to pure bending is assumed to be uniformly distributed across the entire cross-section. However, this assumption does not hold when there are variations in the cross-sectional geometry or the presence of notches and holes.
The stress concentration...
Applications of Stress01:04

Applications of Stress

Consider a structure made of a boom and a rod designed to support a load. These two components are connected by a pin and stabilized by brackets and pins. The boom and the rod are detached from their supports to assess the different stresses imposed on this structure, and a free-body diagram is drawn. Then, all the forces applied, including the load acting on the structure, are identified. The reaction forces exerted on both the boom and the rod are computed using the equilibrium equations.
The...
Principal Stresses01:24

Principal Stresses

The graphical depiction of normal and shearing stress equations is represented by a circle, demonstrating the interplay between these stresses under different angular conditions. The center of this circle C, located on the vertical axis, represents the average normal stress, while its radius shows the range of stress variations. At points A and B, where the circle intersects the horizontal axis, the maximum and minimum normal stresses are observed, occurring without shearing stress. These...
Principal Stresses: Problem Solving01:15

Principal Stresses: Problem Solving

When analyzing two planes intersecting at right angles under the influence of shearing, tensile, and compressive stresses, it is essential to identify principal planes, maximum shearing stress, and principal stresses. To find the principal planes, apply a formula that equates them to twice the shearing stress divided by the difference between tensile and compressive stresses.
Stresses under Combined Loadings01:23

Stresses under Combined Loadings

When analyzing a bent tube with a circular cross-section subjected to multiple forces, it is crucial to determine the stress distribution in order to maintain structural integrity under varied load conditions.
The process begins by slicing the tube at critical points and analyzing the internal forces and stress components at these sections, focusing on the centroid. Normal stresses, generated by axial forces and bending moments, are either compressive or tensile and vary across the section from...

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Related Experiment Video

Updated: May 14, 2026

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline
10:44

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline

Published on: December 7, 2021

Actively stressed marginal networks.

M Sheinman1, C P Broedersz, F C MacKintosh

  • 1Department of Physics and Astronomy, VU University, 1081 HV Amsterdam, The Netherlands.

Physical Review Letters
|February 2, 2013
PubMed
Summary
This summary is machine-generated.

Motor activity influences fiber network elasticity anomalously near critical points. Motor stresses can stabilize floppy networks and increase stiffness, governed by nonaffine strain fluctuations.

Related Experiment Videos

Last Updated: May 14, 2026

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline
10:44

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline

Published on: December 7, 2021

Area of Science:

  • Biophysics
  • Materials Science
  • Soft Matter Physics

Background:

  • Disordered fiber networks are crucial in biological tissues and synthetic materials.
  • Understanding how active stresses, like those from molecular motors, affect network properties is essential.
  • Previous models often simplified stress effects or network topology.

Purpose of the Study:

  • To investigate the impact of motor-generated stresses on the mechanical properties of 3D fiber networks.
  • To elucidate the relationship between motor activity, network stability, and elasticity.
  • To identify the key factors governing critical behavior in active fiber networks.

Main Methods:

  • Utilized a combination of mean-field theory.
  • Employed scaling analysis techniques.
  • Developed and used a computational model of 3D fiber networks with active stresses.

Main Results:

  • Motor activity controls elasticity anomalously near marginal stability by coupling to critical network fluctuations.
  • Motor stresses can stabilize initially floppy networks, broadening the critical behavior regime.
  • At high stress or away from critical points, motor stresses cause a linear increase in network stiffness.
  • Results are summarized by a constitutive scaling relation involving nonaffine strain fluctuations.

Conclusions:

  • Motor-generated stresses play a critical role in determining the mechanical response of disordered fiber networks.
  • Nonaffine strain fluctuations act as a key susceptibility to motor stress, governing network behavior.
  • The findings provide a framework for understanding active matter in complex network architectures.