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Related Concept Videos

Shear on the Horizontal Face of a Beam Element01:16

Shear on the Horizontal Face of a Beam Element

674
To understand shear on the flat side of a prismatic beam element, consider the vertical and horizontal shearing forces, and the normal forces, acting on the element. The element's upper (U) and lower (L) sections, which are divided by the beam's neutral axis, are examined. The equilibrium of these forces is determined by applying the equilibrium equation, which helps identify the horizontal shearing force. This force is directly related to the bending moments and the cross-section's...
674
Thin-Walled Hollow Shafts01:15

Thin-Walled Hollow Shafts

740
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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Distribution of Stresses in a Narrow Rectangular Beam01:11

Distribution of Stresses in a Narrow Rectangular Beam

726
In studying beam stress distribution, examining an elemental section is essential. To determine the average shearing stress on this face, the calculated shear is divided by the surface area. Importantly, shearing stresses on the beam's transverse and horizontal planes mirror each other, indicating a consistent stress distribution along the upper region of the beam. Notably, shearing stresses are absent at the beam's upper and lower surfaces due to the absence of applied forces in these...
726
Unsymmetric Loading of Thin-Walled Members01:23

Unsymmetric Loading of Thin-Walled Members

514
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...
514
Shearing Stress01:18

Shearing Stress

2.5K
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.
2.5K
Unsymmetric Loading of Thin-Walled Members: Problem Solving01:07

Unsymmetric Loading of Thin-Walled Members: Problem Solving

660
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.
Next, calculate the moments of...
660

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Measuring Material Microstructure Under Flow Using 1-2 Plane Flow-Small Angle Neutron Scattering
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High order shear horizontal modes for minimum remnant thickness.

Pierre Belanger1

  • 1Département de Génie Mecanique, École de Technologie Supérieure, 1100, rue Notre-Dame Ouest, Montréal, Québec H3C 1K3, Canada.

Ultrasonics
|January 30, 2014
PubMed
Summary

This study estimates minimum remaining thickness in aging structures using guided wave modes. The technique shows promise for corrosion monitoring, though initial tests underestimated thickness by 20%.

Keywords:
CorrosionCutoff frequencyGuided wavesShear horizontal wavesThickness gauging

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Area of Science:

  • Non-destructive testing
  • Materials science
  • Structural health monitoring

Background:

  • Corrosion in aging structures poses challenges for thickness mapping, especially with limited accessibility.
  • High-order shear horizontal guided wave modes have cutoff frequency-thickness products, enabling potential minimum thickness estimation.

Purpose of the Study:

  • To estimate the minimum remaining thickness in structures susceptible to corrosion.
  • To investigate the use of multiple guided wave modes for improved thickness assessment.

Main Methods:

  • Utilized finite element simulations to model guided wave propagation.
  • Employed a source and sensor array to control excited modes and interrogated region.
  • Analyzed received modes to estimate minimum remaining thickness.

Main Results:

  • Simulations demonstrated the feasibility of estimating minimum remaining thickness by exciting and identifying multiple guided wave modes.
  • Experimental results closely matched simulations for uniform plates.
  • A thickness reduction between transducers led to an underestimation of minimum remnant thickness by approximately 20%.

Conclusions:

  • Simultaneous excitation and analysis of multiple guided wave modes can estimate minimum remaining thickness in structures.
  • The technique shows potential for corrosion monitoring in aging structures.
  • Further refinement is needed to address underestimation in reduced thickness areas.