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Related Concept Videos

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 of...
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Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

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Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
665
Unsymmetric Loading of Thin-Walled Members01:23

Unsymmetric Loading of Thin-Walled Members

467
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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Unsymmetric Loading of Thin-Walled Members: Problem Solving01:07

Unsymmetric Loading of Thin-Walled Members: Problem Solving

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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...
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Bending of Members Made of Several Materials01:11

Bending of Members Made of Several Materials

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In analyzing a structural member composed of two different materials with identical cross-sectional areas, it is crucial to understand how their distinct elastic properties affect the member's response under load. The analysis involves assessing stress and strain distributions using the transformed section concept, which accounts for variations in material properties.
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Simpson's Rule II01:28

Simpson's Rule II

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In warehouse roofing applications, corrugated or curved metal sheets are commonly used to improve structural strength, water drainage, and ventilation efficiency. To accurately estimate material requirements and optimize design parameters, engineers must determine the curved surface area of these sheets. Because the sheet profiles often repeat smoothly along their length, they can be effectively approximated by parabolic curves, enabling the use of numerical integration techniques for area...
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Updated: Mar 15, 2026

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Parametric Sensitivity of Shear Correction Factors for Multiwall Corrugated Structures.

Julia Graczyk1, Jędrzej Tworzydło2, Tomasz Garbowski3

  • 1Institute of Structural Analysis, Poznan University of Technology, 60-965 Poznan, Poland.

Materials (Basel, Switzerland)
|March 14, 2026
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Summary

The shear correction factor (ks) in corrugated paperboard is highly sensitive to flute geometry, not constant. Understanding this variability is key for accurate lightweight structure models.

Keywords:
Latin hypercube samplingcorrugated boardglobal sensitivity analysispixel-based modelingshear correction factortransverse shear deformation

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Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Structural Analysis

Background:

  • Transverse shear deformation is crucial in lightweight periodic-core structures.
  • Shear-corrected reduced-order models are vital, but rely on the shear correction factor (ks).
  • Current models often use a constant ks, ignoring its dependence on cross-sectional properties.

Purpose of the Study:

  • To quantify the global sensitivity of the shear correction factor (ks) in corrugated paperboard.
  • To investigate the impact of geometric and material properties on ks.
  • To develop a framework for robust parameterized reduced-order models of corrugated structures.

Main Methods:

  • Pixel-based identification of effective shear stiffness (GA)eff using energy-consistent methods.
  • Space-filling parameter domain exploration using Latin Hypercube Sampling.
  • Analysis of three-ply and five-ply corrugated configurations with sinusoidal fluting.

Main Results:

  • Flute geometry (period, height, thickness) is the primary driver of ks variability.
  • Material contrast modulates shear-energy localization, especially in double-wall boards.
  • Sensitivity analysis using log-elasticities and partial rank correlation coefficients.

Conclusions:

  • The shear correction factor (ks) is strongly dependent on flute geometry.
  • Material properties significantly influence shear behavior in multi-layer corrugated boards.
  • The proposed framework supports accurate modeling of corrugated structures.