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Related Concept Videos

Unsymmetric Bending - Angle of Neutral Axis01:15

Unsymmetric Bending - Angle of Neutral Axis

757
Unsymmetrical bending occurs when a structural member is subjected to bending moments in a plane that does not align with the member's principal axes. This scenario typically arises in beams and other structural components when loads are applied at non-ideal angles, introducing complexities in stress analysis.
When a bending moment is applied at an angle θ concerning the vertical axis of a symmetrical member, it can be resolved into components along the member's principal...
757
Unsymmetric Bending01:18

Unsymmetric Bending

722
Unsymmetrical bending occurs when the bending moment applied to a structural member does not align with its principal axis. This misalignment leads to complex stress distributions and deflection patterns that differ from those in symmetrical bending, and are essential for designing structures to withstand different loading conditions. In unsymmetrical bending, the neutral axis—where stress is zero—does not necessarily align with the geometric axes of the cross-section. The...
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Bending01:10

Bending

751
Pure bending is a fundamental concept in structural mechanics, essential for understanding how materials deform under symmetrical loads without direct forces. Pure bending occurs when prismatic members, such as beams, are subjected to equal and opposite moments that induce bending. The phenomenon is crucial as it allows for predicting stress distributions without the influence of axial or shear forces.
In pure bending, the bending stress in a beam is calculated based on the bending moment and...
751
Deformations in a Transverse Cross Section01:21

Deformations in a Transverse Cross Section

522
When a material is subjected to uniaxial stress, it elongates or contracts in the direction of the applied force, and also undergoes changes in the perpendicular directions. This behavior is crucial for understanding how materials behave under stress and is governed by mechanical properties such as Poisson's ratio v, which measures the ratio of transverse strain to axial strain.
As the material stretches, it expands or contracts in orthogonal directions to the load. This phenomenon varies...
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Related Experiment Video

Updated: Dec 25, 2025

A Random-displacement Measurement by Combining a Magnetic Scale and Two Fiber Bragg Gratings
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Directional bending sensor based on triangular shaped fiber Bragg gratings.

Bonyong Koo, Dae-Hyun Kim

    Optics Express
    |April 1, 2020
    PubMed
    Summary
    This summary is machine-generated.

    We developed a novel directional bending sensor using three Fiber Bragg Gratings (FBGs) in a triangular arrangement. This sensor accurately measures bending moment and direction, crucial for engineering applications.

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    Area of Science:

    • Optical Engineering
    • Materials Science
    • Mechanical Engineering

    Background:

    • Accurate bending measurement is vital for determining maximum stress and deflection shapes in engineering.
    • Existing methods may lack the ability to simultaneously measure bending moment and its direction effectively.

    Purpose of the Study:

    • To propose and validate an original directional bending sensor using mechanically bonded Fiber Bragg Gratings (FBGs).
    • To enable precise measurement of both the magnitude and direction of applied bending moments.

    Main Methods:

    • Fabrication of a sensor using three optical fibers with FBGs, arranged in a radially placed triangular configuration.
    • Mechanically bonding the FBGs to create a pointwise sensing scheme.
    • Demonstration of two configurations: self-bending measurement and structural bending measurement (surface-mount or embedded).

    Main Results:

    • The proposed sensor configuration establishes a simple relationship between bending moment and independent strain measurements from each FBG.
    • Experimental verification successfully demonstrated the sensor's capability to measure applied bending moment and its direction accurately.

    Conclusions:

    • The developed FBG-based directional bending sensor offers an original and simple approach for structural health monitoring.
    • This sensor provides essential curvature information for understanding deflection and stress distribution in engineering structures.