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Unsymmetric Loading of Thin-Walled Members: Problem Solving

Unsymmetric Loading of Thin-Walled Members: Problem Solving

The shear center of a channel section with uniform thickness, height, and width, is determined by computing the shear force in the member and calculating the moments of inertia of the sections.
To compute the shear forces, find the shear flow at a specific distance from the endpoint using the vertical shear and the moment of inertia values. The total shear force on the flange is calculated by integrating the shear flow from one end of the flange to the other.
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Unsymmetric Loading of Thin-Walled Members

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Thin-walled members with non-symmetrical cross-sections are vital to engineering structures, offering material efficiency and structural integrity. However, unsymmetrical loading on these members leads to complex stress distributions, resulting in simultaneous bending and twisting can cause deformation or structural failure. The interaction between bending and twisting requires detailed analysis to ensure structural resilience.
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Thin-Walled Hollow Shafts

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In analyzing a thin-walled hollow shaft subjected to torsional loading, a segment with width dx is isolated for examination. Despite its equilibrium state, this segment faces torsional shearing forces at its ends. These forces are quantitatively described by the product of the longitudinal shearing stress on the segment's minor surface and the area of this surface, leading to the concept of shear flow. This shear flow is consistent throughout the structure, indicating a uniform distribution of...

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Related Experiment Video

Updated: Jun 2, 2026

Intravascular Ultrasound Image-Based Finite Element Modeling Approach for Quantifying In Vivo Mechanical Properties of Human Coronary Artery

Intravascular Ultrasound Image-Based Finite Element Modeling Approach for Quantifying In Vivo Mechanical Properties of Human Coronary Artery

Published on: December 6, 2024

A Nonlinear Thin-Wall Model for Vein Buckling.

Avione Y Lee¹, Hai-Chao Han

¹Department of Mechanical Engineering, University of Texas at San Antonio, San Antonio, TX 78249, USA.

Cardiovascular Engineering (Dordrecht, Netherlands)

|April 23, 2011

Summary

This summary is machine-generated.

Veins buckle and twist under high blood pressure or low tension, leading to conditions like varicose veins. This study models vein buckling to predict critical pressures, aiding understanding of vein tortuosity.

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Last Updated: Jun 2, 2026

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Published on: July 19, 2016

Area of Science:

Biomedical Engineering
Biophysics
Vascular Biology

Background:

Tortuous veins, including varicose veins, affect a significant portion of the aged population.
The mechanisms causing vein twisting and tortuosity remain poorly understood.
Previous research focused on vein collapse under external pressure, not buckling under internal pressure.

Purpose of the Study:

To develop a biomechanical model for vein buckling under internal pressure.
To predict the critical pressure at which veins buckle.
To investigate the influence of blood pressure and axial tension on vein stability.

Main Methods:

Modeled veins as thin-walled, nonlinear elastic tubes.
Utilized the Fung exponential strain energy function.
Compared model predictions to experimental measurements of critical pressure.

Main Results:

Vein buckling is caused by high blood pressure or insufficient axial tension.
Increased axial tension enhances vein stability against internal pressure.
The developed biomechanical model accurately predicted critical buckling pressures.

Conclusions:

The study provides a validated biomechanical model for vein buckling.
The findings offer insights into the development of tortuous veins.
The buckling equation can be a valuable tool for future research on vascular conditions.