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

Unsymmetric Loading of Thin-Walled Members01:23

Unsymmetric Loading of Thin-Walled Members

466
Thin-walled members with non-symmetrical cross-sections are vital to engineering structures, offering material efficiency and structural integrity. However, unsymmetrical loading on these members leads to complex stress distributions, resulting in simultaneous bending and twisting can cause deformation or structural failure. The interaction between bending and twisting requires detailed analysis to ensure structural resilience.
The concept of the shear center is crucial in countering the...
466
Unsymmetric Loading of Thin-Walled Members: Problem Solving01:07

Unsymmetric Loading of Thin-Walled Members: Problem Solving

567
The shear center of a channel section with uniform thickness, height, and width, is determined by computing the shear force in the member and calculating the moments of inertia of the sections.
To compute the shear forces, find the shear flow at a specific distance from the endpoint using the vertical shear and the moment of inertia values. The total shear force on the flange is calculated by integrating the shear flow from one end of the flange to the other.
Next, calculate the moments of...
567
Design Consideration01:22

Design Consideration

618
Designing a structure involves a series of considerations, primarily the material's ultimate strength, calculated through tests that measure changes under increased force until the material reaches its breaking point or limit. The ultimate load, where the material breaks, is divided by its original cross-sectional area, resulting in the ultimate normal stress or strength. The ultimate shearing stress is another significant factor taken into account.
The factor of safety is another key...
618
Method of Superposition01:20

Method of Superposition

2.0K
The method of superposition is a crucial technique in structural engineering, used to analyze the effect of multiple loads on beams. This approach involves calculating the deflection and slope for each load on a beam separately, and then summing these effects to determine the overall impact. It is applicable only when the beam material remains within its elastic limit, ensuring that deformations are linearly elastic.
When applying the method of superposition, each type of load—whether...
2.0K
Design of Prismatic Beams for Bending01:23

Design of Prismatic Beams for Bending

660
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...
660
Internal Loadings in Structural Members: Problem Solving01:28

Internal Loadings in Structural Members: Problem Solving

1.8K
When designing or analyzing a structural member, it is important to consider the internal loadings developed within the member. These internal loadings include normal force, shear force, and bending moment. Engineers can ensure that the structural member can support the applied external forces by calculating these internal loadings.
To illustrate this, let's consider a beam OC of 5 kN, inclined at an angle of 53.13° with the horizontal and supported at both ends. Determine the internal...
1.8K

You might also read

Related Articles

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

Sort by
Same authorSame journal

Deblurring structural edges in variable thickness topology optimization via density-gradient-informed projection.

Structural and multidisciplinary optimization : journal of the International Society for Structural and Multidisciplinary Optimization·2026
Same author

Spatial scale of indentation explains shift in ratio between spinal cord gray and white matter stiffness.

Scientific reports·2026
Same author

Multimodal mechanical characterization pipeline for spinal cord tissue.

Acta biomaterialia·2026
Same author

In vivo wideband MR elastography for assessing age-related viscoelasticity changes of the human brain.

Acta biomaterialia·2026
Same author

Cutting soft materials: how material differences shape the response.

npj computational materials·2026
Same author

Compression-Tension-Asymmetry and Stiffness Nonlinearity of Collagen-Matrigel Composite Hydrogels.

Advanced healthcare materials·2025

Related Experiment Video

Updated: Mar 13, 2026

Design and Optimization Strategies of a High-Performance Vented Box
14:23

Design and Optimization Strategies of a High-Performance Vented Box

Published on: June 9, 2023

1.7K

A novel multi-thickness topology optimization method for balancing structural performance and manufacturability.

Gabriel Stankiewicz1, Chaitanya Dev1, Paul Steinmann1

  • 1Institute of Applied Mechanics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Egerlandstr. 5, 91058 Erlangen, Bavaria Germany.

Structural and Multidisciplinary Optimization : Journal of the International Society for Structural and Multidisciplinary Optimization
|March 12, 2026
PubMed
Summary

This study introduces a multi-thickness topology optimization method. It balances structural performance and manufacturability by using discrete thicknesses, creating practical, high-performance designs.

Keywords:
Multi-thicknessTopology optimizationVariable-thickness

More Related Videos

Production of Single Tracks of Ti-6Al-4V by Directed Energy Deposition to Determine the Layer Thickness for Multilayer Deposition
09:12

Production of Single Tracks of Ti-6Al-4V by Directed Energy Deposition to Determine the Layer Thickness for Multilayer Deposition

Published on: March 13, 2018

9.7K
Structural Design and Manufacturing of a Cruiser Class Solar Vehicle
14:57

Structural Design and Manufacturing of a Cruiser Class Solar Vehicle

Published on: January 30, 2019

14.5K

Related Experiment Videos

Last Updated: Mar 13, 2026

Design and Optimization Strategies of a High-Performance Vented Box
14:23

Design and Optimization Strategies of a High-Performance Vented Box

Published on: June 9, 2023

1.7K
Production of Single Tracks of Ti-6Al-4V by Directed Energy Deposition to Determine the Layer Thickness for Multilayer Deposition
09:12

Production of Single Tracks of Ti-6Al-4V by Directed Energy Deposition to Determine the Layer Thickness for Multilayer Deposition

Published on: March 13, 2018

9.7K
Structural Design and Manufacturing of a Cruiser Class Solar Vehicle
14:57

Structural Design and Manufacturing of a Cruiser Class Solar Vehicle

Published on: January 30, 2019

14.5K

Area of Science:

  • Mechanical Engineering
  • Computational Design
  • Materials Science

Background:

  • Traditional 2D topology optimization faces a performance-manufacturability trade-off.
  • Unpenalized methods yield complex, high-performance designs.
  • Penalized methods produce simpler, lower-performance truss-like structures.

Purpose of the Study:

  • To develop a topology optimization method that bridges the gap between structural performance and manufacturability.
  • To guide designs towards a predefined set of discrete, allowable thicknesses.
  • To produce designs suitable for both additive and conventional manufacturing.

Main Methods:

  • Introduced a multi-thickness, density-based topology optimization approach.
  • Employed a novel multilevel penalization scheme and multilevel smoothed Heaviside projection.
  • Utilized a continuation strategy for parameters and adaptive mesh refinement for robust convergence.

Main Results:

  • Designs systematically transitioned from truss-like to sheet-like structures with increasing discrete thickness levels.
  • Designs with three discrete thicknesses achieved compliance within 2% of unpenalized methods.
  • The method inherently eliminated impractically thin regions, enhancing manufacturability.

Conclusions:

  • The proposed multi-thickness method effectively balances structural performance and manufacturability.
  • Designs are well-suited for additive manufacturing and conventional fabrication using standard stock materials.
  • This approach offers a practical solution for creating high-performance, manufacturable optimized structures.