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Related Concept Videos

Unsymmetric Bending01:18

Unsymmetric Bending

385
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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Symmetric Member in Bending01:07

Symmetric Member in Bending

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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...
258
Unsymmetric Bending - Angle of Neutral Axis01:15

Unsymmetric Bending - Angle of Neutral Axis

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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.
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...
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Deformations in a Symmetric Member in Bending01:18

Deformations in a Symmetric Member in Bending

246
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...
246
Turbulent Flow: Problem Solving01:09

Turbulent Flow: Problem Solving

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Carbonation is a process used to dissolve carbon dioxide gas in a liquid, commonly used in the production of carbonated beverages. Achieving efficient carbonation requires careful control of temperature, pressure, and flow conditions. By adjusting these parameters, carbonation efficiency can be maximized, producing a higher concentration of CO2 in the liquid.
Temperature is a key factor in CO2 solubility. In this case, the CO2 gas and the liquid are cooled to 20°C. Lower temperatures...
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Woodward–Hoffmann Selection Rules and Microscopic Reversibility01:34

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Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
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Learning to self-fold at a bifurcation.

Chukwunonso Arinze1, Menachem Stern2, Sidney R Nagel1

  • 1Department of Physics, University of Chicago, Chicago, Illinois 60637, USA.

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Summary
This summary is machine-generated.

Materials can "learn" complex behaviors through physical training. By altering crease stiffnesses, disordered sheets can be guided to fold along desired pathways, demonstrating robust plasticity.

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Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Soft Matter Physics

Background:

  • Disordered mechanical systems deform along complex pathways, often involving bifurcation points.
  • Designing these pathways computationally requires advanced algorithms and precise control over geometry and material properties.

Purpose of the Study:

  • To explore a physical training framework for controlling folding pathway topology in disordered sheets.
  • To investigate how changes in crease stiffnesses, induced by prior folding, can guide material behavior.
  • To study the robustness of this training for different learning rules.

Main Methods:

  • Investigated a physical training approach where material properties adapt based on deformation history.
  • Studied various "learning rules" quantifying how local strain affects local folding stiffness.
  • Experimentally demonstrated the concept using sheets with epoxy-filled creases whose stiffness changes post-folding.

Main Results:

  • Demonstrated that plasticity in materials enables learning of nonlinear behaviors through deformation history.
  • Showcased a robust method for guiding folding pathways in disordered sheets.
  • Validated the effectiveness of the physical training framework.

Conclusions:

  • Specific forms of material plasticity can be harnessed for adaptive control of mechanical systems.
  • Physical training offers a viable alternative to computational design for achieving desired deformation pathways.
  • This approach provides robust control over complex material behaviors based on their history.