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Related Concept Videos

Support Reactions in Three Dimensions01:27

Support Reactions in Three Dimensions

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Support reactions in three dimensions help maintain the stability and equilibrium of various structures and systems. These reactions prevent the system from translating and rotating, ensuring the design can withstand external forces and perform its intended function efficiently and safely. Some of the supports providing support reactions in three dimensions are discussed below:
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In anatomy, several standard anatomical positions are used as references for describing the position and orientation of different body parts. These positions help provide a common frame of reference when discussing anatomical structures. The anatomical position is the standard reference point for describing the body's position and orientation. In this position:
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Eccentric axial loading occurs when an axial load is applied away from the centroidal axis of a structural member. This scenario is common in engineering, where structural elements may not be directly aligned due to various design or functional requirements.
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The centroid of a body is a crucial concept in engineering and physics. Finding the centroid of a body can help determine its stability, its balance point, and even its design. In this context, consider a thin wire bent in the form of a quarter circular arc. Polar coordinates are used to calculate the centroid. The wire is first divided into small differential elements of a length equal to the radius multiplied by the differential angle.
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To grasp the intricacy of real-world conditions where multiple loads are applied simultaneously to a structure, one might visualize a section passing through a specific point within a body, aligned parallel to the xy plane. This section is subjected to various forces, including original loads, normal forces, and shearing forces.
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Normal and Tangetial Components: Problem Solving01:24

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Consider a man with a mass of 70 kg seated in a chair connected to a pin support through a member BC. If the man maintains an upright position, the task is to determine the horizontal and vertical reactions of the chair on the man when the member makes a 45° angle with the horizontal. At this moment, the man has a speed of 5 m/s, increasing at a rate of 1 m/s².
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Updated: Oct 20, 2025

A Vibrotactile Feedback Device for Seated Balance Assessment and Training
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ERGOBOSS: Ergonomic Optimization of Body-Supporting Surfaces.

Danyong Zhao, Yijing Li, Timothy Langlois

    IEEE Transactions on Visualization and Computer Graphics
    |September 14, 2021
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    Designing comfortable and ergonomic surfaces is key for human interaction. This study introduces a novel method using finite element modeling (FEM) to optimize surface shapes for better physical contact ergonomics, validated with 3D-printed shoe soles.

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    Area of Science:

    • Biomechanics
    • Computational mechanics
    • Ergonomics

    Background:

    • Designing comfortable and ergonomic supporting surfaces is crucial for human interaction.
    • Existing methods for ergonomic shape design often lack computational efficiency and physical realism.

    Purpose of the Study:

    • To develop a method for designing rigid supporting surfaces that maximize the ergonomics of physical contact with a deformable human model.
    • To create a computationally efficient and differentiable contact model for gradient-based optimization.

    Main Methods:

    • Modeling the human body as a deformable tissue layer around a rigid core using finite element method (FEM) with realistic material properties.
    • Defining a novel cost function to quantify contact ergonomics.
    • Implementing a stable, differentiable contact model for gradient-based optimization of surface geometry.

    Main Results:

    • The developed optimization method produced superior supporting surface designs compared to prior work.
    • Validated through examples including furniture, apparel, and tools.
    • Optimized shoe sole design demonstrated improved ergonomic contact, matching simulation predictions with 3D-printed prototypes and pressure sensor data.

    Conclusions:

    • The proposed method offers a robust and efficient approach to designing ergonomic surfaces.
    • The technique has broad applicability across various products requiring comfortable human-surface interaction.
    • Computational modeling and simulation provide accurate predictions for real-world ergonomic design challenges.