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Related Concept Videos

Yield Criteria for Ductile Materials under Plane Stress01:25

Yield Criteria for Ductile Materials under Plane Stress

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In designing structural elements and machine parts using ductile materials, it is crucial to ensure that these components withstand applied stresses without yielding. Yielding is initially determined through a tensile test, which evaluates the material's response to uniaxial stress. However, tensile stress is insufficient when components face biaxial or plane stress conditions This condition requires advanced criteria to predict failure.
The Maximum Shearing Stress Criterion, also known as...
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Stability of structures01:14

Stability of structures

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In mechanical engineering, the stability of systems under various forces is critical for designing durable and efficient structures. One fundamental way to explore these concepts is by analyzing systems like two rods connected at a pivot point, O, with a torsional spring of spring constant k at the pivot point. This system is similar in appearance to a scissor jack used to change tires on a car. In this case, the arms of the linkage (equivalent to the rods in this system) are entirely vertical,...
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Plastic Behavior01:21

Plastic Behavior

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A material's elastic behavior is characterized by the disappearance of stress once the load is removed, allowing the material to return to its original state. However, when stress surpasses the yield point, yielding commences, marking the onset of plastic deformation or permanent set. This change from elastic to plastic behavior is influenced by the peak stress value and the duration before the load is removed. An intriguing observation occurs when a specimen is loaded, unloaded, and...
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Friedman Two-way Analysis of Variance by Ranks01:21

Friedman Two-way Analysis of Variance by Ranks

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Friedman's Two-Way Analysis of Variance by Ranks is a nonparametric test designed to identify differences across multiple test attempts when traditional assumptions of normality and equal variances do not apply. Unlike conventional ANOVA, which requires normally distributed data with equal variances, Friedman's test is ideal for ordinal or non-normally distributed data, making it particularly useful for analyzing dependent samples, such as matched subjects over time or repeated measures...
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Components of Stress01:23

Components of Stress

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Stress analysis under multiple loading conditions is intricate, necessitating a comprehensive grasp of normal and shearing stresses. Consider a small cube at point O, subjected to stress on all six faces, visible or not. Normal stress components σx, σy, σz act perpendicularly to the x, y, and z axes. Shearing stress components τxy and τxz are exerted on faces perpendicular to these axes.
Interestingly, the hidden cube faces also experience these stresses, equal and...
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Fatigue01:21

Fatigue

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Fatigue occurs when materials rupture under repeated or fluctuating loads, even at stress levels far below their static breaking strength. It typically results in brittle failure, even for ductile materials. It is a critical consideration in designing machines and structural components subjected to repetitive or varying loads. The nature of these loadings can range from fluctuating loads like unbalanced pump impellers causing vibrations to repeatedly bending a thin steel rod wire back and forth...
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Related Experiment Video

Updated: Mar 28, 2026

Frailty Assessment in an Aging Mouse Model
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Published on: September 23, 2025

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Beyond one direction: revisiting the fragility index.

Noam Kahana1, Michal Perets1, Sameh Hany Emile2

  • 1Ellen Leifer Shulman and Steven Shulman Digestive Disease Center, Cleveland Clinic Florida, Weston, FL, USA; Department of General Surgery, Shaare Zedek Medical Center, Faculty of Medicine, Hebrew University of Jerusalem, Jerusalem, Israel.

Journal of Clinical Epidemiology
|March 26, 2026
PubMed
Summary

The Fragility Index (FI) and Reverse Fragility Index (RFI) offer insights into clinical evidence strength. A new bidirectional method enhances accuracy in assessing trial robustness by considering all change directions.

Keywords:
Clinical evidenceFragility indexModified indexRevisitingRobustnessTrials

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Area of Science:

  • Biostatistics
  • Clinical Trial Methodology
  • Evidence-Based Medicine

Background:

  • Traditional statistical measures are complemented by the Fragility Index (FI) for assessing clinical evidence.
  • The FI provides an intuitive understanding of the strength of evidence in clinical trials.

Purpose of the Study:

  • To propose a refined, bidirectional approach for calculating the Fragility Index (FI) and Reverse Fragility Index (RFI).
  • To enhance the accuracy of estimating the minimal shift required to alter statistical significance in clinical trials.

Main Methods:

  • Development of a bidirectional calculation method for FI and RFI.
  • Accounting for all possible directions of change in statistical significance.

Main Results:

  • The bidirectional approach provides a more accurate estimate of the minimal change needed to alter significance.
  • This refined method offers a clearer reflection of the actual robustness of trial findings.

Conclusions:

  • The bidirectional FI and RFI calculation method improves the assessment of clinical evidence strength.
  • This approach offers a more robust evaluation of trial findings compared to traditional methods.