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Related Concept Videos

Unsymmetric Bending01:18

Unsymmetric Bending

276
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...
276
Plastic Deformations of Members with a Single Plane of Symmetry01:21

Plastic Deformations of Members with a Single Plane of Symmetry

84
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...
84
Bending of Members Made of Several Materials01:08

Bending of Members Made of Several Materials

131
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.
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each...
131
Bending of Material: Problem Solving01:09

Bending of Material: Problem Solving

166
In this lesson, determine the ratio of the maximum bending moments applied to two metal pipes, given that both pipes can withstand a maximum stress of 100 MPa. Both pipes have an outer radius of 1.8 cm. Pipe A has an inner radius of 1.5 cm, and Pipe B has an inner radius of 1 cm. The ratio of the maximum bending moment applied to two metallic pipes, each with a different inner and outer radius, is determined by considering their dimensions. The inner radius of the first pipe is 1.5 cm, and for...
166
Singularity Functions for Bending Moment01:18

Singularity Functions for Bending Moment

183
Singularity functions simplify the representation of bending moments in beams subjected to discontinuous loading, allowing the use of a single mathematical expression. For a supported beam AB, with uniform loading from its midpoint M to the right side end B, the approach involves conceptual 'cuts' at specific points to determine the bending moment in each segment. By cutting the beam at a point between A and M, the bending moment for the segment before reaching midpoint M is represented...
183
Unsymmetric Bending - Angle of Neutral Axis01:15

Unsymmetric Bending - Angle of Neutral Axis

242
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...
242

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Origami Inspired Self-assembly of Patterned and Reconfigurable Particles
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Reprogrammable curved-straight origami: Multimorphability and volumetric tunability.

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  • 1Department of Mechanical Engineering, McGill University, Montreal, Canada.

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Summary
This summary is machine-generated.

This study introduces reprogrammable origami with bistable creases for adaptive structural materials. It enables tunable stiffness in fixed dimensions, overcoming limitations of existing origami designs.

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Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Metamaterials

Background:

  • Existing origami structures offer limited morphability and stiffness tunability.
  • Current 3D origami lattices adjust stiffness primarily through size changes, causing abrupt property shifts.

Purpose of the Study:

  • To develop a reprogrammable origami system with enhanced morphability and continuously tunable stiffness.
  • To overcome limitations of existing origami for applications requiring adaptive structural materials.

Main Methods:

  • Integration of curved and straight bistable creases in origami design.
  • Application of curved origami theories, differential geometry, and experimental validation.
  • Formulation of geometric mechanics for folded patterns and quantification of mechanical performance.

Main Results:

  • Achieved reversible remorphability into multiple load-bearing shapes with rigidity.
  • Generated 3D curved-plate lattices with continuously tunable elastic moduli (two orders of magnitude) at fixed dimensions.
  • Demonstrated a novel approach for precise stiffness control in metamaterials.

Conclusions:

  • The developed reprogrammable origami serves as a versatile platform for multifunctional metamaterials.
  • Enables adaptive and resilient material solutions for aerospace, biomechanics, and soft robotics.
  • Advances the design principles for advanced structural materials with tunable properties.