Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Elastic Curve from the Load Distribution01:16

Elastic Curve from the Load Distribution

583
The structural behavior of beams under distributed loads is critical for engineering analysis, which focuses on predicting how beams bend and react under such conditions. Different types of beams (e.g., cantilever, supported, or overhanging) behave differently under distributed load conditions.
For all beams, the analysis of the beam's reaction to distributed loads begins by understanding the relationship between a beam's load and the resulting shear forces and bending moments. Initially, this...
583
Members Made of Elastoplastic Material01:19

Members Made of Elastoplastic Material

513
The behavior of elastoplastic materials under bending stresses, particularly in structural members with rectangular cross-sections, is crucial for predicting material responses and understanding failure modes. Initially, when a bending moment is applied, the stress distribution across the section follows Hooke's Law and is linear and elastic. This distribution means the stress increases from the neutral axis to the maximum at the outer fibers, up to the elastic limit.
As the bending moment...
513
Equation of the Elastic Curve01:23

Equation of the Elastic Curve

1.2K
The concept of curvature in plane curves, crucial in structural engineering, defines how sharply a beam bends under load. This curvature is determined using the curve's first and second derivatives.
Consider a cantilever beam with a point load at its free end (for instance, a diving board). When analyzing beam deflection with small slopes, the shape of the beam's elastic curve becomes key. The governing equation for this analysis involves the bending moment and the beam's flexural rigidity,...
1.2K
Plastic Deformations01:19

Plastic Deformations

617
Plastic deformation represents a fundamental concept in materials science, which explains the irreversible change in the shape of a material when it experiences stress beyond its elastic capability. This phenomenon is important in structural engineering, especially in designing and analyzing cantilever beams—structures that are securely fixed at one end and bear loads at the opposite end. When these beams are subjected to loads within their elastic range, they will return to their...
617
Plastic Deformations01:14

Plastic Deformations

706
It is essential to understand how structural members behave under plastic deformation when the bending stress exceeds the material's yield strength. This state of deformation permanently alters the shape of the member, in contrast to the linear elastic behavior observed before yielding. The strain at any point in the member is expressed in terms of maximum strain. Notably, the neutral axis, which coincides with the centroid during elastic bending, shifts away from the centroid under plastic...
706
Design of Prismatic Beams for Bending01:23

Design of Prismatic Beams for Bending

683
The design of prismatic beams, structural elements with a uniform cross-section, focuses on ensuring safety and structural integrity under load. The design process begins by determining the allowable stress, either from material properties tables, or by dividing the material's ultimate strength by a safety factor. This safety factor is essential for accommodating uncertainties, and varies depending on the material—timber, steel, or concrete—with each having unique strength and...
683

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

LCE-integrated soft skin for millimeter-scale steerable soft everting robots.

Science advances·2025
Same author

Bio-Inspired Artificial Muscle-Tendon Complex of Liquid Crystal Elastomer for Bidirectional Afferent-Efferent Signaling.

Advanced materials (Deerfield Beach, Fla.)·2025
Same author

Human Visual Transduction Mechanism-Inspired Adaptive Enhancement Network during Endoscopy.

IEEE journal of biomedical and health informatics·2025
Same author

Finite Element Model of the Effect of Optic Nerve Sheath Anisotropy on Ocular Loading During Horizontal Duction.

Bioengineering (Basel, Switzerland)·2025
Same author

Enhancing Thermo-Mechanical Properties of Liquid Crystal Elastomers through Chain Entanglements.

ACS applied materials & interfaces·2025
Same author

Low Thermal Conductivity and Diffusivity at High Temperatures Using Stable High-Entropy Spinel Oxide Nanoparticles.

Advanced materials (Deerfield Beach, Fla.)·2024

Related Experiment Video

Updated: Apr 16, 2026

Controlled Strain of 3D Hydrogels under Live Microscopy Imaging
07:41

Controlled Strain of 3D Hydrogels under Live Microscopy Imaging

Published on: December 4, 2020

4.2K

Bending a beam by a generalized ideal elastomeric gel.

Shengqiang Cai1

  • 1Department of Mechanical and Aerospace Engineering , University of California , San Diego, La Jolla, CA 92093, USA.

Proceedings. Mathematical, Physical, and Engineering Sciences
|March 21, 2015
PubMed
Summary
This summary is machine-generated.

This study introduces a unified model for hybrid beams, linking hydrogel swelling to beam bending. This approach simplifies sensor and actuator design by being independent of specific gel properties.

Keywords:
actuationbeam bendinghydrogel

More Related Videos

The Mechanics of Poro-Elastic Contractile Actomyosin Networks As a Model System of the Cell Cytoskeleton
08:50

The Mechanics of Poro-Elastic Contractile Actomyosin Networks As a Model System of the Cell Cytoskeleton

Published on: March 10, 2023

1.3K
Design and Fabrication of an Elastomeric Unit for Soft Modular Robots in Minimally Invasive Surgery
11:06

Design and Fabrication of an Elastomeric Unit for Soft Modular Robots in Minimally Invasive Surgery

Published on: November 14, 2015

9.4K

Related Experiment Videos

Last Updated: Apr 16, 2026

Controlled Strain of 3D Hydrogels under Live Microscopy Imaging
07:41

Controlled Strain of 3D Hydrogels under Live Microscopy Imaging

Published on: December 4, 2020

4.2K
The Mechanics of Poro-Elastic Contractile Actomyosin Networks As a Model System of the Cell Cytoskeleton
08:50

The Mechanics of Poro-Elastic Contractile Actomyosin Networks As a Model System of the Cell Cytoskeleton

Published on: March 10, 2023

1.3K
Design and Fabrication of an Elastomeric Unit for Soft Modular Robots in Minimally Invasive Surgery
11:06

Design and Fabrication of an Elastomeric Unit for Soft Modular Robots in Minimally Invasive Surgery

Published on: November 14, 2015

9.4K

Area of Science:

  • Materials Science
  • Polymer Science
  • Mechanical Engineering

Background:

  • Hybrid beams with gel layers are crucial for sensors and actuators.
  • Current models are specific to each gel type, limiting versatility.

Purpose of the Study:

  • To develop a unified model for hybrid beams incorporating hydrogels.
  • To establish a relationship between hydrogel swelling and beam bending curvature.
  • To offer a method for validating elastomeric gel models and measuring polymer network elasticity.

Main Methods:

  • Utilizing the generalized ideal elastomeric gel model.
  • Formulating a unified relationship between hydrogel swelling and elastic beam bending.
  • Deriving equations applicable across different gel types.

Main Results:

  • A universal equation connecting hydrogel swelling and beam curvature was established.
  • The derived equations are independent of specific hydrogel swelling mechanisms.
  • The model provides a means to validate the ideal elastomeric gel model.

Conclusions:

  • The unified model simplifies the design and analysis of gel-based sensors and actuators.
  • The derived equations enable accurate measurement of polymer network elasticity.
  • This work offers a versatile approach for understanding hydrogel-beam interactions.