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Related Concept Videos

Relation Between the Distributed Load and Shear01:23

Relation Between the Distributed Load and Shear

Understanding the relationship between the distributed load and shear force in structural analysis is crucial for analyzing beams subjected to various loading conditions. Consider the case of a beam experiencing a distributed load, two concentrated loads, and a couple moment.
Shearing Stress01:18

Shearing Stress

Shearing stress, denoted by the Greek letter tau (τ), is stress caused by forces acting transversely on an object. These forces create internal ones within the entity in the plane where the external forces are applied. The resultant of these internal forces is the shear in the section.
The average shearing stress can be calculated by dividing the shear by the area of the cross-section.
Shearing Strain01:20

Shearing Strain

The shearing strain represents a cubic element's angular change when subjected to shearing stress. This type of stress can transform a cube into an oblique parallelepiped without influencing normal strains. The cubic element experiences a significant transformation when exposed solely to shearing stress. Its shape alters from a perfect cube into a rhomboid, clearly demonstrating the effect of shearing strain. The degree of this strain is considered positive if it reduces the angle between the...
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
Shear Diagram01:27

Shear Diagram

In the study of beam mechanics, shear diagrams play a crucial role in understanding the distribution of shear forces along the length of a beam. Consider a beam AB that is supported at both ends and subjected to perpendicular loads.
First, a free-body diagram of the beam is drawn, representing all the external forces and internal reactions acting on the beam. One can calculate the reaction forces at each support by employing the equilibrium equations of force and moment. The vertical component...
Shearing Stresses in a Beam: Problem Solving01:14

Shearing Stresses in a Beam: Problem Solving

A cantilever beam with a rectangular cross-section under distributed and point loads experiences shearing stresses. The analysis begins by identifying the loads acting on the beam. Then, the reactions at the beam's fixed end are calculated using equilibrium equations. The vertical reaction is a combination of the distributed and point loads, while the moment reaction is the sum of their moments. The shear force distribution along the beam, resulting from these loads, is established by creating...

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A Uniform Shear Assay for Human Platelet and Cell Surface Receptors via Cone-plate Viscometry
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Published on: June 5, 2019

Shear-affected depletion interaction.

C July1, D Kleshchanok, P R Lang

  • 1Forschungszentrum Jülich, ICS-3-Soft Matter, Jülich, Germany. e.july@fz-juelich.de

The European Physical Journal. E, Soft Matter
|July 20, 2012
PubMed
Summary
This summary is machine-generated.

Flow fields affect depletion interactions from disc-shaped particles. At low concentrations, shear thins the depletion force, but this effect vanishes at high concentrations, a phenomenon not fully explained by current models.

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Area of Science:

  • Colloid and interface science
  • Soft matter physics
  • Rheology

Background:

  • Depletion interactions are crucial in colloidal systems.
  • Flow fields can alter particle interactions.
  • Understanding non-equilibrium effects is vital for complex fluids.

Purpose of the Study:

  • To investigate how shear flow influences depletion interactions caused by disc-shaped depletants.
  • To explore the concentration-dependent effects of flow on depletion potentials.
  • To adapt Total Internal Reflection Microscopy (TIRM) for non-equilibrium measurements.

Main Methods:

  • Modification of the Total Internal Reflection Microscopy (TIRM) technique.
  • Application of controlled shear rates to colloidal dispersions.
  • Measurement of particle-wall interaction potentials under flow.

Main Results:

  • At low depletant concentrations, increasing shear rate reduces depletion potential depth.
  • Depletion force becomes experimentally undetectable at high shear rates for low concentrations.
  • Above a critical depletant concentration, flow effects on depletion potential become negligible.

Conclusions:

  • Flow alignment of disc-shaped depletants likely explains reduced depletion at low concentrations.
  • The vanishing influence of flow at high depletant concentrations requires further investigation.
  • Modified TIRM is suitable for studying particle interactions under shear flow conditions.