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Euler's Formula to Columns: Problem Solving01:23

Euler's Formula to Columns: Problem Solving

Euler's formula is used in structural engineering to determine the buckling load of columns under various conditions. However, when dealing with systems that incorporate both rigid elements and elastic components, such as springs, the analysis requires a finer approach to determine the critical load. The problem described involves two rigid bars connected at a pivot point with a spring attached and a vertical load applied at one end.
The system comprises two vertical rigid bars, AB and BC, of...
Principle of Virtual Work: Problem Solving01:13

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The principle of virtual work is an essential concept in the field of mechanics and engineering. This is used to solve problems related to the equilibrium of a structure or system. It is based on the assumption that if a system is in equilibrium, the work done by all the forces during a virtual displacement is zero. This principle is applied by considering virtual displacements of the system and the corresponding work done by internal and external forces.
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Internal Loadings in Structural Members: Problem Solving01:28

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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.
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Stability of structures01:14

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Indeterminate Structure

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Structural Design and Manufacturing of a Cruiser Class Solar Vehicle
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Structural Design and Manufacturing of a Cruiser Class Solar Vehicle

Published on: January 30, 2019

Optimization of spring-loaded crutches via boundary value problem.

Guangyu Liu1, Sheng-Quan ShaneXie, Yanxin Zhang

  • 1Department of Mechanical Engineering, Faculty of Engineering, The University of Auckland, Auckland 1020, New Zealand. g.liu@auckland.ac.nz

IEEE Transactions on Neural Systems and Rehabilitation Engineering : a Publication of the IEEE Engineering in Medicine and Biology Society
|June 4, 2010
PubMed
Summary
This summary is machine-generated.

Optimized spring-loaded crutches improve walking by providing timely propulsion. This design enhances dynamic characteristics for better ambulation compared to standard crutches.

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Area of Science:

  • Biomechanics
  • Orthopedic Engineering

Background:

  • Standard crutches can cause high impact forces during ambulation.
  • Spring-loaded crutches offer potential for reduced impulse and improved propulsion.

Purpose of the Study:

  • To optimize the design of spring-loaded crutches by determining optimal spring stiffness.
  • To investigate the dynamic characteristics of spring-loaded crutches during ambulation.

Main Methods:

  • Developed a method using a boundary value problem to optimize helical spring stiffness.
  • Studied crutch stance dynamics numerically.
  • Conducted experiments with four subjects in a biomechanics laboratory.

Main Results:

  • The study proposes an approach to optimize helical spring stiffness for spring-loaded crutches.
  • Optimized crutches demonstrated the ability to provide propulsion at the correct time and position during dynamic walking.

Conclusions:

  • Optimized spring-loaded crutches can enhance the propulsion mechanism during ambulation.
  • This research provides a framework for designing compliant spring-loaded assistive devices.