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Related Concept Videos

Unsymmetric Bending01:18

Unsymmetric Bending

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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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Plastic Deformations of Members with a Single Plane of Symmetry01:21

Plastic Deformations of Members with a Single Plane of Symmetry

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When a structural member undergoes plastic deformation due to bending, it is crucial to understand the position of the neutral axis and the stress distribution. This member, characterized by a single plane of symmetry, exhibits a uniform stress distribution, with negative stress above the neutral axis and positive stress below. Notably, the neutral axis does not align with the centroid of the cross-section. This misalignment is typical in cases where the cross-section is not rectangular or...
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Deformations in a Symmetric Member in Bending01:18

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When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the member bends, the originally straight lines on its wider faces curve into circular arcs, with a constant radius centered at a point known as Point C. This phenomenon helps to understand the stress and strain distribution within the member more clearly.
When the member is segmented into tiny cubic elements, it is observed that the primary stress...
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Unsymmetric Bending - Angle of Neutral Axis01:15

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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.
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Gauss's Law: Planar Symmetry01:27

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A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
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In the study of the mechanics of materials, analyzing the behavior of prismatic members under opposing couples is crucial for understanding internal stress distributions, which are essential for structural design. When subjected to couples, a prismatic member experiences internal forces that maintain equilibrium. A couple, characterized by two equal and opposite forces, creates a moment but no resultant force. The internal forces at any section cut of the member must balance these external...
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Origami Inspired Self-assembly of Patterned and Reconfigurable Particles
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Reconfigurable modular origami for tunable 2D symmetry groups.

Weiqi Liu1,2, Qun Ren3, Yunjie Wang4

  • 1School of Mechanical Engineering, Tianjin University, Tianjin 300350, China.

Science Advances
|November 12, 2025
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Summary
This summary is machine-generated.

Researchers developed reconfigurable modules inspired by origami that can achieve all 17 Euclidean plane space groups. This tunable symmetry in metastructures enables multiple functionalities through simple air pressurization.

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Area of Science:

  • Physics
  • Materials Science
  • Mechanical Engineering

Background:

  • Symmetry is crucial for physical properties in fields like electromagnetics and optics.
  • Current methods for altering symmetry often require refabrication or reassembly.
  • Tunable symmetry is desired for achieving multiple functionalities in physical systems.

Purpose of the Study:

  • To propose a novel method for reconfiguring symmetry in metastructures.
  • To achieve all 17 Euclidean plane space groups using modular components.
  • To demonstrate a simple and reversible tuning mechanism for symmetry configurations.

Main Methods:

  • Inspired by modular origami, developed single-degree-of-freedom (DOF) reconfigurable modules.
  • Utilized inherent kinematic bifurcation for rich symmetry configurations.
  • Employed a binary pressurization strategy for air pouches to reversibly tune symmetry.

Main Results:

  • Achieved all 17 space groups in the Euclidean plane using only two sets of module tessellations.
  • Demonstrated reversible tuning of symmetry configurations via air pouch pressurization.
  • Established selection rules for multipole quasibound states in the continuum by tuning symmetry groups in metasurfaces.

Conclusions:

  • The proposed modular approach enables programmable reconfigurable metastructures with tunable symmetry.
  • This work offers a promising pathway for designing multifunctional materials with dynamic symmetry properties.
  • The developed system provides a simple yet effective method for on-demand symmetry manipulation.