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Related Concept Videos

Thin-Walled Hollow Shafts01:15

Thin-Walled Hollow Shafts

293
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...
293
Unsymmetric Loading of Thin-Walled Members01:23

Unsymmetric Loading of Thin-Walled Members

192
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.
The concept of the shear center is crucial in countering the...
192
Stress Concentrations in Circular Shafts01:18

Stress Concentrations in Circular Shafts

295
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...
295
Deformation in a Circular Shaft01:10

Deformation in a Circular Shaft

502
One of the distinctive characteristics of circular shafts is their ability to maintain their cross-sectional integrity under torsion. In other words, each cross-section continues to exist as a flat, unaltered entity, simply rotating like a solid, rigid slab. To understand the distribution of shearing stress within such a shaft, consider a cylindrical section inside this circular shaft. This section has a length of L and a radius of R, with one end fixed. The radius of the cylindrical section is...
502
Torsion of Noncircular Members01:16

Torsion of Noncircular Members

274
Circular shafts undergoing torsional stress maintain their cross-sectional integrity due to their axisymmetric nature. This symmetry ensures an even distribution of stress, allowing the shaft to withstand torsion without distorting. In contrast, square bars, lacking this axial symmetry, experience significant distortion across their cross-sections when subjected to torsion, with the exception of along their diagonals and at lines connecting midpoints. A detailed examination of a cubic element...
274
Eccentric Axial Loading in a Plane of Symmetry01:16

Eccentric Axial Loading in a Plane of Symmetry

342
Eccentric axial loading occurs when an axial load is applied away from the centroidal axis of a structural member. This scenario is common in engineering, where structural elements may not be directly aligned due to various design or functional requirements.
342

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Stability Loss Analysis for Thin-Walled Shells with Elliptical Cross-Sectional Area.

Ján Kostka1, Jozef Bocko1, Peter Frankovský1

  • 1Department of Applied Mechanics and Mechanical Engineering, Faculty of Mechanical Engineering, Technical University of Košice, 042 00 Košice, Slovakia.

Materials (Basel, Switzerland)
|October 13, 2021
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Summary

This study explores using elliptical cylindrical shells for stability loss analysis. Both experimental measurements and numerical methods like finite element analysis were employed to determine critical force levels.

Keywords:
FEMstability losstensile testthin-walled shells

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Area of Science:

  • Structural Engineering
  • Mechanical Engineering
  • Applied Mathematics

Background:

  • Stability loss analysis is crucial for engineering structures.
  • Cylindrical shells are common structural components.
  • Elliptical cross-sections present unique stability challenges.

Purpose of the Study:

  • To investigate the applicability of elliptical cylindrical shells in stability loss analysis.
  • To present experimental and numerical methods for evaluating the critical forces in these shells.

Main Methods:

  • Experimental: Production of elliptical shells and measurement of critical forces.
  • Numerical: Application of the finite strip method and finite element method.

Main Results:

  • The study demonstrates the feasibility of analyzing elliptical cylindrical shells for stability.
  • Both experimental and numerical approaches provide data on critical force levels.

Conclusions:

  • Elliptical cylindrical shells are viable for stability loss studies.
  • A combined experimental and numerical approach offers comprehensive analysis.