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Related Concept Videos

Unsymmetric Bending

Unsymmetric Bending

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 orientation of the...

Three-Dimensional Analysis of Strain

Three-Dimensional Analysis of Strain

Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...

Bending of Curved Members - Neutral Surface

Bending of Curved Members - Neutral Surface

In curved beams, unlike straight beams, the stress distribution across the cross-section is not uniform due to the beam's curvature. This non-uniformity arises because the neutral axis, where stress is zero, does not align with the centroid of the section. In a curved beam, the strain varies along the section as a function of the distance from the neutral axis.
Consider the curved member described in the previous lesson. According to Hooke's law, which relates stress to strain within the...

Unsymmetric Bending - Angle of Neutral Axis

Unsymmetric Bending - Angle of Neutral Axis

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 centroidal axes. The...

Deformations in a Symmetric Member in Bending

Deformations in a Symmetric Member in Bending

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...

Degree of Curvature and Radius of Curvature

Degree of Curvature and Radius of Curvature

The degree of curvature and the radius of curvature are fundamental concepts in determining the sharpness or smoothness of a curve. The degree of curvature is a measure of how steeply a curve bends and can be determined using the chord basis or the arc basis. In the chord basis method, the degree of curvature is defined as the central angle subtended by a chord of 30.48 meters, helping in the calculation of the radius of the curve. The arc basis method defines the degree of curvature as the...

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Related Experiment Video

Updated: Jun 2, 2026

Designing a Bio-responsive Robot from DNA Origami

Designing a Bio-responsive Robot from DNA Origami

Published on: July 8, 2013

DNA origami with complex curvatures in three-dimensional space.

Dongran Han¹, Suchetan Pal, Jeanette Nangreave

¹The Biodesign Institute, Arizona State University, Tempe, AZ 85287, USA. dongran.han@asu.edu

Science (New York, N.Y.)

|April 16, 2011

Summary

Researchers developed a method for creating complex, curved DNA nanostructures using DNA origami. This technique allows for precise control over 3D shapes, enabling novel nanoscale designs.

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DNA Origami-Mediated Substrate Nanopatterning of Inorganic Structures for Sensing Applications

DNA Origami-Mediated Substrate Nanopatterning of Inorganic Structures for Sensing Applications

Published on: September 27, 2019

Area of Science:

Nanotechnology
Biotechnology
Materials Science

Background:

DNA origami is a powerful technique for creating nanoscale structures.
Designing complex 3D shapes with DNA origami remains challenging.

Purpose of the Study:

To present a strategy for designing and constructing self-assembling DNA nanostructures with intricate curved surfaces in 3D space.
To demonstrate the ability to create high-curvature DNA nanostructures.

Main Methods:

Utilizing the DNA origami folding technique to bend double-helical DNA along target object contours.
Employing concentric rings of DNA for in-plane curvature control.
Introducing out-of-plane curvature by adjusting crossover positions and patterns between DNA double helices.

Main Results:

Successfully designed and assembled DNA nanostructures with high curvature.
Demonstrated the creation of 2D concentric rings and 3D structures like spherical shells, ellipsoidal shells, and a nanoflask.
Showcased precise control over both in-plane and out-of-plane curvature.

Conclusions:

The presented strategy enables the precise design and construction of complex, curved DNA nanostructures.
This method expands the possibilities for creating sophisticated 3D objects at the nanoscale using DNA origami.
The assembled nanostructures, including a nanoflask, highlight the technique's versatility and potential applications.