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Related Concept Videos

Shearing Stress01:19

Shearing Stress

1.9K
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.
1.9K
Shearing Stresses in a Beam: Problem Solving01:14

Shearing Stresses in a Beam: Problem Solving

634
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 creating...
634
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

490
As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
490
Machines01:19

Machines

563
Machines are complex structures consisting of movable, pin-connected multi-force members that work together to transmit forces. One example of a machine is the cutting plier, which is used to cut wires by applying forces to its handles. When equal and opposite forces are exerted on the handles of the cutting plier, they cause the cutting edges to come together and apply equal and opposite reaction forces on the wire, which are greater than the applied forces.
A free-body diagram of the...
563
Shearing Strain01:20

Shearing Strain

1.3K
The shearing strain represents a cubic element's angular change when subjected to shearing stress. This type of stress can transform a cube into an oblique parallelepiped without influencing normal strains. The cubic element experiences a significant transformation when exposed solely to shearing stress. Its shape alters from a perfect cube into a rhomboid, clearly demonstrating the effect of shearing strain. The degree of this strain is considered positive if it reduces the angle between the...
1.3K
Shear Diagram01:27

Shear Diagram

1.6K
In the study of beam mechanics, shear diagrams play a crucial role in understanding the distribution of shear forces along the length of a beam. Consider a beam AB that is supported at both ends and subjected to perpendicular loads.
First, a free-body diagram of the beam is drawn, representing all the external forces and internal reactions acting on the beam. One can calculate the reaction forces at each support by employing the equilibrium equations of force and moment. The vertical component...
1.6K

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Introducing Shear Stress in the Study of Bacterial Adhesion
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Inverse Method for Estimating Shear Stress in Machining.

T J Burns1, S P Mates1, R L Rhorer1

  • 1National Institute of Standards and Technology, 100 Bureau Dr., Gaithersburg, MD 20899, USA.

Journal of the Mechanics and Physics of Solids
|May 17, 2019
PubMed
Summary
This summary is machine-generated.

This study introduces an inverse method to estimate shear stress during orthogonal machining. The technique uses temperature data to determine stress distribution on the cutting tool

Keywords:
AISI 1045 SteelAbel integral equationfrictionmetal cuttingnumerical and analytical modeling

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Area of Science:

  • Materials Science and Engineering
  • Mechanical Engineering
  • Manufacturing Processes

Background:

  • Orthogonal machining involves complex chip-tool interactions and heat generation at the contact interface.
  • Accurate estimation of shear stress on the rake face is crucial for understanding and optimizing machining performance.
  • Existing methods often rely on specific friction models, limiting their applicability.

Purpose of the Study:

  • To develop an inverse method for estimating shear stress distribution on the rake face during orthogonal machining.
  • To utilize experimental temperature measurements for stress determination without prior friction model specification.

Main Methods:

  • An inverse method is presented, leveraging a heat generation model based on a two-zone contact friction model.
  • The method incorporates an estimation of steady-state heat flow into the cutting tool.
  • It processes discrete, experimentally determined steady-state temperature measurements along the tool's rake face.

Main Results:

  • The proposed inverse method successfully estimates the shear stress distribution on the rake face.
  • The estimation is achievable using only temperature data, independent of a predefined friction model.
  • This provides a novel approach to characterizing chip-tool contact mechanics.

Conclusions:

  • The developed inverse method offers a robust way to determine shear stress in the chip-tool contact zone.
  • This technique enhances the understanding of machining processes by decoupling stress estimation from friction models.
  • It provides valuable insights for improving cutting tool design and machining efficiency.