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Related Concept Videos

Design Example: Traverse Angle Computations01:25

Design Example: Traverse Angle Computations

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Traverse angle computations are a critical component of surveying, used to compute the internal angles within a closed traverse. A traverse consists of a series of connected lines forming a closed loop, often used for land boundary delineation or mapping. Calculating the internal angles ensures accuracy in the traverse geometry and is essential for checking survey data integrity.The process begins with known azimuths and bearings of the traverse sides. Internal angles at each vertex are...
143
Angle of Twist: Problem Solving01:13

Angle of Twist: Problem Solving

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An electric motor applies a torque of 700 N·m to an aluminum shaft, triggering a stable rotation. Two pulleys, B and C, are subjected to torques of 300 N·m and 400 N·m, respectively. The modulus of rigidity is provided as 25 GPa. With the knowledge of the length and diameter of each segment, the twist angle between the two pulleys can be computed. First, a section cut is made between pulleys B and C, and the cut cross-section is analyzed using a free-body diagram. Given that the...
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Vertical Curve: Problem Solving01:23

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Vertical curves provide the transition between two roadway grades, ensuring safety, comfort, and functionality. Calculating elevations at specific stations along the curve involves several systematic steps based on the curve's geometry and provided design parameters.The vertical curve is defined by its length, grades, Point of Vertical Intersection (P.V.I.) location, and P.V.I. elevation. The stations of the Point of Vertical Curvature (P.V.C.), where the curve begins, and the Point of Vertical...
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Bending of Material: Problem Solving01:09

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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...
257
Elevation of Intermediate Points on Vertical Curves01:20

Elevation of Intermediate Points on Vertical Curves

77
Vertical curves are essential in roadway design because they provide smooth transitions between varying roadway grades. Designing vertical curves involves calculating intermediate elevations and identifying the curve's highest or lowest point, which is essential for optimal roadway performance.Intermediate elevations on a vertical curve are determined using the tangent offset method. This method considers the initial elevation at the start of the curve, the grades, and the curve's geometry. The...
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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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Updated: Sep 19, 2025

Fabrication of Three-Dimensional Graphene-Based Polyhedrons via Origami-Like Self-Folding
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Origami Crawlers: Exploring A Single Origami Vertex for Complex Path Navigation.

Davood Farhadi1,2, Laura Pernigoni1,3, David Melancon4

  • 1J.A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, 02138, USA.

Advanced Materials (Deerfield Beach, Fla.)
|June 10, 2025
PubMed
Summary
This summary is machine-generated.

Origami engineering enables simple, single-input crawlers from basic folded structures. Modifying vertex geometry allows controlled straight-line or turning motion for complex path navigation.

Keywords:
degree‐four vertexlocomotionorigamirobotics

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Area of Science:

  • Engineering
  • Robotics
  • Materials Science

Background:

  • Origami, the art of paper folding, offers potential beyond aesthetics.
  • Traditional origami structures can be adapted for advanced engineering applications like robotics and shape morphing.

Purpose of the Study:

  • To engineer a basic origami structure, a degree-four vertex, into a functional crawler.
  • To demonstrate that this crawler can navigate complex paths with a single input.

Main Methods:

  • Experimental studies and computational modeling were employed.
  • The geometry of the degree-four vertex was systematically modified.
  • Folding angle actuation ranges were adjusted to control movement.

Main Results:

  • A degree-four vertex was successfully engineered into a single-input crawler.
  • Crawlers demonstrated the ability to move in straight lines or turn by altering vertex geometry.
  • Nonlinearities in folding enabled switching between crawling modes.

Conclusions:

  • Basic origami structures can be engineered into versatile robotic crawlers.
  • Controlled actuation of folding angles allows for precise trajectory following.
  • This research opens pathways for simple machines capable of complex navigation with minimal actuation.