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Shearing Stresses in a Beam: Problem Solving

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...

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.

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Related Experiment Video

Updated: Aug 11, 2025

A New Hybrid Quantitative Evaluation Model for Axillary Junctional Hemorrhage in Swine

A New Hybrid Quantitative Evaluation Model for Axillary Junctional Hemorrhage in Swine

Published on: December 6, 2024

A mathematical model for assessing shear induced bleeding risk.

Yuan Li¹, Hongyu Wang¹, Yifeng Xi¹

¹Key Laboratory of Biomechanics and Mechanobiology (Beihang University), Ministry of Education, Beijing Advanced Innovation Center for Biomedical Engineering, School of Biological Science and Medical Engineering, Beihang University, Beijing 100083, China.

Computer Methods and Programs in Biomedicine

|February 6, 2023

Summary

This summary is machine-generated.

A new model predicts bleeding risk from medical devices by analyzing shear stress effects on blood components. This tool helps develop safer devices and reduce patient adverse events.

Keywords:

Bleeding Blood contact medical devices Platelet receptors Shear stress VAD vWF

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Last Updated: Aug 11, 2025

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Area of Science:

Biomedical Engineering
Cardiovascular Science
Computational Fluid Dynamics

Background:

Patients with blood contact medical devices (BCMDs) face risks of device-induced bleeding.
Existing models lack comprehensive assessment of bleeding risk factors influenced by shear stress.

Approach:

Developed a mathematical model simulating shear stress effects on von Willebrand factor (vWF) unfolding, high molecular weight vWF degradation, platelet activation, and platelet-vWF binding.
Utilized Eulerian transport equations to solve model functions.
Validated the model using an axial flow-through Couette device and simulations of HeartWare Ventricular Assist Device (HVAD) and HeartMate II (HM II) blood pumps.

Key Points:

Model accurately predicts platelet-vWF binding and shear-induced bleeding risk, consistent with experimental and clinical data.
Increased shear stress and exposure time elevate bleeding risk.
HVAD demonstrated higher bleeding risk than HM II due to greater platelet receptor shedding and lower high molecular weight vWF damage.

Conclusions:

The developed bleeding risk model accurately predicts device-induced bleeding.
The model can guide the design of BCMDs with enhanced biocompatibility and reduced adverse event risks.