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Vertical Curve: Problem Solving

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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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Vertical curves are parabolic transitions that connect different grades on highways and railroads, ensuring a smooth alignment between back and forward tangents. The back tangent represents the initial grade, while the forward tangent defines the subsequent grade. These curves can be symmetrical, with equal tangent lengths, or nonsymmetrical, with varying lengths. The key points defining a vertical curve include the Point of Vertical Intersection (P.V.I.), where the tangents meet; the Point of...
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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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Sight Distance in a Vertical Curve01:29

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Sight distance on vertical curves is critical in roadway design. It ensures drivers can see far enough ahead to identify and respond to hazards effectively. This directly impacts safety, driver comfort, and the overall efficiency of the transportation network.Vertical curves are classified into crest and sag curves based on their geometry. For crest curves, sight distance is determined by the line of sight between a driver's eye and a small object on the road's surface. Design parameters for...
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Related Experiment Video

Updated: Feb 1, 2026

Strain Sensing Based on Multiscale Composite Materials Reinforced with Graphene Nanoplatelets
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Stretchable Strain Vector Sensor Based on Parallelly Aligned Vertical Graphene.

Shuang Huang1,2, Gen He1, Cheng Yang1

  • 1State Key Laboratory of Optoelectronic Materials and Technologies, School of Electronics and Information Technology, Guangdong Province Key Laboratory of Display Material and Technology , Sun Yat-Sen University , Guangzhou 510006 , China.

ACS Applied Materials & Interfaces
|December 12, 2018
PubMed
Summary
This summary is machine-generated.

Researchers developed a new wearable strain sensor using parallelly aligned vertical graphene (PAVG). This sensor accurately detects both the direction and magnitude of stretching, enabling better human-machine interfaces.

Keywords:
human−sensor interfaceparallelly aligned vertical graphenestrain vector detectionstretching direction and amplitudewearable strain sensor

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Area of Science:

  • Materials Science
  • Nanotechnology
  • Wearable Technology

Background:

  • Wearable strain sensors are crucial for human-machine interfaces but often struggle to detect strain direction and amplitude simultaneously.
  • Existing sensors fail to capture complete stretching vector information from body movements.
  • Graphene materials offer high electrical sensitivity for advanced sensor applications.

Purpose of the Study:

  • To fabricate large-area, parallelly aligned vertical graphene (PAVG) for wearable strain vector sensing.
  • To develop a sensor capable of simultaneously detecting strain amplitude and direction.
  • To demonstrate the sensor's application in human-sensor interfaces for motion tracking.

Main Methods:

  • Fabrication of parallelly aligned vertical graphene (PAVG) over a large area using inductively coupled plasma chemical vapor deposition with metal inducers.
  • Characterization of the sensor's electrical anisotropy due to aligned graphene nanosheet profiles.
  • Testing the sensor's accuracy in detecting strain vectors on human finger joints.

Main Results:

  • Successful large-area fabrication of parallelly aligned vertical graphene (PAVG).
  • The PAVG-based sensor exhibited electrical anisotropy, enabling directional strain detection.
  • High accuracy was achieved in simultaneously measuring strain amplitude and direction.
  • Demonstrated effective application in tracking finger joint movements for human-sensor interfaces.

Conclusions:

  • Established a novel fabrication method for vertically and parallelly aligned graphene structures.
  • Introduced a highly accurate wearable strain vector sensor for comprehensive motion detection.
  • Opened new avenues for developing advanced wearable sensors capable of capturing multidirectional human actions.