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Related Concept Videos

Shearing Stress01:19

Shearing Stress

2.0K
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.
2.0K
Shearing Stresses in a Beam: Problem Solving01:14

Shearing Stresses in a Beam: Problem Solving

688
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...
688
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

525
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...
525
Absolute Value Inequalities01:23

Absolute Value Inequalities

350
The absolute value is a mathematical tool that represents the distance of a number from zero on the number line, regardless of its sign. In the context of inequalities, absolute value expressions help define a range of permissible values or boundaries for a variable. These inequalities are commonly used in scientific modeling and data interpretation, where variability within or beyond a certain threshold must be captured precisely.An absolute value inequality of the form ∣x∣ ≤...
350
Mean Absolute Deviation01:13

Mean Absolute Deviation

3.5K
The mean absolute deviation is also a measure of the variability of data in a sample. It is the absolute value of the average difference between the data values and the mean.
Let us consider a dataset containing the number of unsold cupcakes in five shops: 10, 15, 8, 7, and 10. Initially, calculate the sample mean. Then calculate the deviation, or the difference, between each data value and the mean. Next, the absolute values of these deviations are added and divided by the sample size to...
3.5K
Self-Help Support Groups01:28

Self-Help Support Groups

365
Self-help support groups are voluntary, community-based organizations that provide a platform for individuals with shared concerns to exchange support, insights, and practical strategies for coping with life challenges. Typically led by group members or paraprofessionals, these groups form a cornerstone of mental health care, especially in reaching populations that are underserved by traditional healthcare systems.
Accessibility and Cost-Effectiveness
One of the primary strengths of self-help...
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Related Experiment Video

Updated: Feb 14, 2026

Introducing Shear Stress in the Study of Bacterial Adhesion
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Micro-Stress Support-Enhanced Two-Plate Shearing Absolute Testing for Φ800 mm Interferometers.

Zijia Zhao1,2, Zhiliang Zhao2,3, Yuegang Fu1

  • 1School of Optoelectronic Engineering, Changchun University of Science and Technology, Changchun 130022, China.

Sensors (Basel, Switzerland)
|February 13, 2026
PubMed
Summary

We developed a new digital laser interferometric testing technique for ultra-large-aperture optical elements. This method achieves high precision and accuracy for large optical components used in demanding applications.

Keywords:
absolute testinginterferometerlarge aperture optical flat

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Area of Science:

  • Optical Engineering
  • Metrology
  • Precision Measurement

Background:

  • Manufacturing and testing large-aperture optical elements present significant challenges.
  • Demand for large-aperture optics is growing in astronomy, high-power lasers, and aerospace.

Purpose of the Study:

  • To propose an ultra-large-aperture digital laser plane interferometric testing technique.
  • To enable high-precision testing of large planar optical elements.

Main Methods:

  • Combines two-plate shearing absolute mutual testing with micro-stress support technology.
  • Utilizes digital laser interferometry for planar element testing.

Main Results:

  • Successfully tested an Φ800 mm planar element with PV of 0.0923λ and RMS of 0.0114λ.
  • Demonstrated fast testing speed, high resolution, and precise alignment.
  • Simulation and ZYGO interferometer comparisons validated the method's effectiveness.

Conclusions:

  • The proposed technique offers a novel approach for high-precision testing of large-aperture optical elements.
  • Achieved minimal error and high accuracy in experimental testing.
  • The method is suitable for demanding applications requiring precise optical components.