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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

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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...
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Shear and Bending Moment Diagram: Problem Solving01:24

Shear and Bending Moment Diagram: Problem Solving

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When analyzing a beam supporting concentrated loads and a distributed load, drawing the shear and bending moment diagrams is essential. These diagrams help understand the internal forces and moments acting on the beam, which is crucial for designing safe and efficient structures. Follow these steps to create the shear and bending moment diagrams:
Draw a Free-Body Diagram: Start by drawing a free-body diagram of the entire beam, including the concentrated loads, distributed load, and reaction...
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Shearing Stresses in a Beam: Problem Solving01:14

Shearing Stresses in a Beam: Problem Solving

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

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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...
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Distribution of Stresses in a Narrow Rectangular Beam01:11

Distribution of Stresses in a Narrow Rectangular Beam

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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...
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Shearing Stress01:18

Shearing Stress

2.3K
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.
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Investigating the Potential of Singly Curved Thin Piezoelectric Transducers for Energy Harvesting and Structural Health Monitoring
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Damage detection in bent plates using shear horizontal guided waves.

Nakash Nazeer1, Madis Ratassepp1, Zheng Fan1

  • 1School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore.

Ultrasonics
|December 13, 2016
PubMed
Summary
This summary is machine-generated.

This study examines shear horizontal guided waves interacting with defects in stiffener bends. Higher frequencies improve detection of outer surface cracks, while delaminations are also identifiable.

Keywords:
Curvature effectDefect scatteringShear horizontal mode

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Area of Science:

  • Solid mechanics
  • Guided wave testing
  • Non-destructive evaluation

Background:

  • Shear horizontal (SH) guided waves are utilized for structural health monitoring.
  • Understanding wave propagation in complex geometries like bends is crucial for defect detection.
  • Top hat stiffeners are common in various engineering structures.

Purpose of the Study:

  • To investigate the behavior of shear horizontal guided modes interacting with defects within the bend region of a top hat stiffener.
  • To analyze the influence of bend curvature on wave propagation characteristics.
  • To evaluate the sensitivity of these modes to different types of defects, including surface cracks and delaminations.

Main Methods:

  • Finite element modeling (FEM) was employed to simulate wave propagation and scattering.
  • Numerical simulations were conducted to study the interaction of SH waves with defects.
  • Experimental validation was performed to confirm the simulation results.

Main Results:

  • The shear horizontal guided mode in the bend exhibits dispersive behavior, unlike in a flat plate.
  • Wavefield characteristics are significantly influenced by the bend's curvature.
  • Scattering studies revealed that wave sensitivity to outer surface cracks increases with frequency.
  • The shear mode demonstrated sensitivity to delaminations due to non-zero transverse shear stress.

Conclusions:

  • The study successfully characterized the interaction of SH guided modes with defects in stiffener bends.
  • FEM results were validated experimentally, showing good agreement.
  • The findings highlight the potential of SH guided waves for detecting surface cracks and delaminations in stiffened structures.