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Related Concept Videos

Torsion of Noncircular Members01:16

Torsion of Noncircular Members

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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...
143
Deformation in a Circular Shaft01:10

Deformation in a Circular Shaft

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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...
301
Angle of Twist - Elastic Range01:13

Angle of Twist - Elastic Range

296
Consider a cylindrical shaft with a length denoted by L and a consistent cross-sectional radius referred to as r. This shaft undergoes a torque at the free end. The highest shearing strain within the shaft is directly proportional to the twist angle and the radial distance from the shaft axis. When the shaft behaves elastically, this shearing strain can be articulated using variables such as the applied torque, radial distance, the polar moment of inertia, and the modulus of rigidity. By...
296
Angle of Twist: Problem Solving01:13

Angle of Twist: Problem Solving

285
An electric motor applies a torque of 700 N·m to an aluminum shaft, triggering a stable rotation. Two pulleys, B and C, are subjected to torques of 300 N·m and 400 N·m, respectively. The modulus of rigidity is provided as 25 GPa. With the knowledge of the length and diameter of each segment, the twist angle between the two pulleys can be computed. First, a section cut is made between pulleys B and C, and the cut cross-section is analyzed using a free-body diagram. Given that the...
285
Plastic Deformation in Circular Shafts01:20

Plastic Deformation in Circular Shafts

191
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...
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Thin-Walled Hollow Shafts01:15

Thin-Walled Hollow Shafts

195
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...
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Twisting a Cylindrical Sheet Makes It a Tunable Locking Material.

Pan Dong1,2, Mengfei He1,2, Nathan C Keim3

  • 1Department of Physics, Syracuse University, Syracuse, New York 13244, USA.

Physical Review Letters
|October 20, 2023
PubMed
Summary
This summary is machine-generated.

Researchers developed a tunable locking material using a buckled sheet. This material remains freely deformable within a specific range, offering controlled extension and locking capabilities for advanced applications.

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Area of Science:

  • Mechanical Engineering
  • Materials Science
  • Geometric Mechanics

Background:

  • Buckled sheets can store and release material, exhibiting a locking phenomenon when slack is depleted.
  • Thin, stiff materials demonstrate unique mechanical behaviors related to geometric constraints.

Purpose of the Study:

  • To establish a simple method for creating a tunable locking material.
  • To explore a system with a controllable interval of free deformability.
  • To investigate the mechanical response of thin sheets under combined deformations.

Main Methods:

  • Forming a thin sheet into a cylindrical shell.
  • Subjecting the cylindrical shell to axial twist and compression.
  • Developing a simple geometric model to rationalize experimental observations.

Main Results:

  • Demonstrated a tunable locking mechanical response in a thin cylindrical shell.
  • Identified an interval of free deformability that can be continuously tuned.
  • Validated the geometric model with experimental results.

Conclusions:

  • A simple route to tunable locking materials has been established.
  • The mechanical behavior is rationalized by geometric principles.
  • This work offers potential for novel material designs with controlled deformation properties.