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Related Concept Videos

Stress Concentrations in Circular Shafts01:18

Stress Concentrations in Circular Shafts

200
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...
200
Residual Stresses in Circular Shafts01:10

Residual Stresses in Circular Shafts

195
In materials that exhibit elastic and plastic behavior, known as elastoplastic materials, residual stresses can accumulate when these materials experience plastic deformation. This deformation arises from either high levels of shearing stress or significant strains. Residual stresses are internal stresses that persist within a material after removing the external force causing deformation. This phenomenon is demonstrated when observing the behavior of a shaft under torque; notably, the...
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Thin-Walled Hollow Shafts01:15

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...
211
Design Example: Deciding Thickness of Lubricating Fluid in a Shaft01:23

Design Example: Deciding Thickness of Lubricating Fluid in a Shaft

131
Effective lubrication between a rotating shaft and its bearing housing is essential in rotating machinery to minimize friction, wear, and energy loss. With carefully controlled thickness and viscosity, the lubricant layer prevents metal-to-metal contact, ensuring smooth operation.
To calculate the required thickness of the lubricant layer, the tangential velocity at the shaft's surface must first be determined. This velocity is calculated by converting the rotational speed to angular...
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Design of Transmission Shafts - Stress Analysis01:15

Design of Transmission Shafts - Stress Analysis

398
Designing a transmission shaft requires a thorough understanding of the stresses induced by bending moments and torques, especially in systems where power is transferred through gears. These forces create force-couple systems at the centers of the shaft's cross-sections, leading to both transverse and torsional loading. Although shearing stresses from transverse loads are typically smaller than those from torques and are often overlooked, the significant normal stresses from these loads...
398
Circular Shafts - Elastoplastic Materials01:24

Circular Shafts - Elastoplastic Materials

124
The study of solid circular shafts under stress shows that within the elastic limit, stress increases directly to the distance from the shaft's center. This relationship holds until the shaft reaches a critical point of stress, beyond which it begins to yield, marking the transition from elastic to plastic deformation. At this crucial juncture, the maximum torque the shaft can endure without permanent deformation is determined, signifying the limit of its elastic behavior.
As torque on the...
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A nontraditional method for reducing thermoelastic stresses of variable thickness rotating discs.

A M Eldeeb1, Y M Shabana1,2, T A El-Sayed3

  • 1Mechanical Design Department, Faculty of Engineering, Helwan University, P.O. Box 11718, El-Mataria, Cairo, Egypt.

Scientific Reports
|August 21, 2023
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Summary

Researchers developed a novel method to reduce stress in functionally graded rotating discs by incorporating a homogeneous area. This technique effectively lowers maximum stress components, enhancing structural integrity and load-carrying capacity.

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Area of Science:

  • Mechanical Engineering
  • Materials Science
  • Solid Mechanics

Background:

  • Reducing stress and increasing load-carrying capacity in mechanical structures are persistent research challenges.
  • Functionally graded rotating discs with nonuniform thickness present complex stress distributions.
  • Existing methods may not sufficiently address stress mitigation in such intricate geometries.

Purpose of the Study:

  • To propose and evaluate a novel method for stress reduction in functionally graded rotating discs.
  • To investigate the effectiveness of incorporating a geometrically defined homogeneous area within the disc.
  • To analyze the impact of this homogeneous area on magnetoelastic/magneto-thermoelastic stress components.

Main Methods:

  • A novel approach involving the integration of a homogeneous property area (density, thermal expansion, elasticity) into the disc structure.
  • Application of the finite element method (FEM) for solving the magnetoelastic/magneto-thermoelastic problem.
  • Simulation of discs subjected to partial uniform outer pressure and symmetric thermal boundary conditions.

Main Results:

  • The proposed method successfully reduces maximum stress components within the functionally graded rotating disc.
  • Stress reduction percentages vary based on the location, angular width, and material properties of the homogeneous area.
  • Significant reductions observed: approximately 20.7% in maximum compressive tangential stress and 12.5% in von Mises stress under specific conditions.

Conclusions:

  • The novel method of incorporating a homogeneous area is effective in mitigating stresses in functionally graded rotating discs.
  • This approach offers a viable strategy for enhancing structural performance and safety.
  • The findings provide valuable insights for designing more robust rotating mechanical components.