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Elastic Strain Energy for Shearing Stresses

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...

Shearing Stress

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.

Stress Concentrations in Circular Shafts

Stress Concentrations in Circular Shafts

Consider the elastic torsion formula, which applies to a circular shaft with a consistent cross-section. This formula assumes that the shaft's ends are loaded with rigid plates firmly attached. However, in many cases, torques are applied to the shaft through mechanisms like flange couplings or gears, which are connected by keys inserted into keyways. This application method modifies the stress distribution near the point of torque application, causing it to deviate from the distributions...

Circular Shaft - Stresses in Linear Range

Circular Shaft - Stresses in Linear Range

Consider a scenario where a circular shaft is subject to torque that remains within the boundaries of Hooke's Law, avoiding any permanent deformation. So, the formula for shearing strain is revisited. This formula is multiplied by the modulus of rigidity, and then Hooke's Law for the shearing stress and strain is applied. As a result, the equation for shearing stress in a shaft can be derived.

Plastic Deformation in Circular Shafts

Plastic Deformation in Circular Shafts

When materials are subjected to forces that surpass their yield strength, they undergo a process known as plastic deformation. This results in a permanent alteration or strain in their structure. This concept can be specifically applied to circular shafts, where the deformation leads to a change in its shape. The precise evaluation of this plastic deformation requires understanding the stress distribution within the circular shaft, which is achieved by calculating the maximum shearing stress in...

Disorders of the Male Reproductive System

Disorders of the Male Reproductive System

Men's health issues are increasingly recognized as significant, with several conditions posing common threats. Among these, testicular cancer is especially prevalent in younger men, particularly those aged 20 to 35 years. The disease often manifests as a painless mass in the testicles, sometimes accompanied by a sensation of heaviness or a dull ache.
Prostate disorders are another major concern. These conditions can impair urinary flow due to the prostate's location around the urethra....

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Related Experiment Video

Updated: Jan 14, 2026

Microscopic Electric Rotary Grinding of Plaques Combined with Graft Repair in the Management of Peyronie's Disease

Microscopic Electric Rotary Grinding of Plaques Combined with Graft Repair in the Management of Peyronie's Disease

Published on: March 15, 2024

Exploring the application of shear stress in erectile dysfunction.

Wen-Jia Deng¹, Lin-Gang Cui, Qing-Jun Meng

¹Department of Urology, The First Affiliated Hospital of Zhengzhou University, Zhengzhou 450052, China.

Asian Journal of Andrology

|January 13, 2026

Summary

Shear stress significantly impacts erectile dysfunction (ED) by affecting vascular endothelial function. Understanding these effects, particularly how exercise influences shear stress, offers new therapeutic strategies for ED.

Keywords:

endothelial function erectile dysfunction inflammation nitric oxide shear stress

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The Assembly and Application of 'Shear Rings': A Novel Endothelial Model for Orbital, Unidirectional and Periodic Fluid Flow and Shear Stress

The Assembly and Application of 'Shear Rings': A Novel Endothelial Model for Orbital, Unidirectional and Periodic Fluid Flow and Shear Stress

Published on: October 31, 2016

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Last Updated: Jan 14, 2026

Microscopic Electric Rotary Grinding of Plaques Combined with Graft Repair in the Management of Peyronie's Disease

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Published on: March 15, 2024

Treatment Model for Young Patients with Psychogenic Erectile Dysfunction and Resultant Infertility

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Published on: May 30, 2025

The Assembly and Application of 'Shear Rings': A Novel Endothelial Model for Orbital, Unidirectional and Periodic Fluid Flow and Shear Stress

The Assembly and Application of 'Shear Rings': A Novel Endothelial Model for Orbital, Unidirectional and Periodic Fluid Flow and Shear Stress

Published on: October 31, 2016

Area of Science:

Cardiovascular Research
Urology
Biomedical Engineering

Background:

Erectile dysfunction (ED) is a common condition affecting men's quality of life.
Vascular endothelial function is crucial for erectile function and is modulated by shear stress.
Shear stress, categorized as physiological (laminar) or pathological (low/oscillatory), influences endothelial cells.

Purpose of the Study:

To review the literature on the relationship between shear stress and erectile dysfunction.
To explore how shear stress mechanisms influence erectile function.
To identify potential therapeutic strategies for ED based on shear stress modulation.

Main Methods:

Comprehensive literature review of studies investigating shear stress and erectile function.
Analysis of the mechanisms by which physiological and pathological shear stress affect endothelial cells.
Evaluation of exercise as an intervention to modulate shear stress for ED treatment.

Main Results:

Physiological shear stress promotes nitric oxide production, supporting erectile function.
Pathological shear stress contributes to endothelial dysfunction, inflammation, and oxidative stress, worsening ED.
Exercise enhances endothelial function by inducing beneficial shear stress, mitigating oxidative stress and inflammation.

Conclusions:

Shear stress is a critical regulator of endothelial function and erectile function.
Understanding shear stress pathways provides insights into ED pathogenesis.
Exercise-induced shear stress presents a promising therapeutic approach for managing erectile dysfunction.