EGR 345 Analysis Project System

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EGR 345 Analysis Project System 5
Lee C. Groeneweg Grand Valley State
University Padnos School of Engineering Professor
Dr. Hugh Jack December 10th, 1998
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Introduction

• A dual gear leverage system with an applied
  torque to the right side gear resulting in
  vertical displacement of the moment arm.

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Two gear leverage support system
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Design Objective

• Find a length of R1 for the left side moment arm
  so that the maximum displacement of X2 approaches
  a length of R2, 0.4 meters.

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Free Body Diagrams

• Left side FBD Right side FBD

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Modeling and Analysis

• Draw Free Body Diagrams.
• Develop Differential Equations.
• Relate the two equations to each other using
  contact force relationship.
• Develop gear relationships.
• Solve for output variable, R2, using Runge-Kutta
  technique in Mathcad.

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Design

• Observe X2 displacement by varying torque
  applied.
• Observe trend of X2 velocity.
• Choose Design material.
• (stainless steel, alloy 405 - 1 inch square bar
  )
• Determine Factor of Safety.

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Summary

• Systems response modeled as differential
  equation.
• Design Value of R2, 0.6 meters obtained.
• Design Material chosen.
• (stainless steel, alloy 405 - 1 inch square bar
  )
• Factor of Safety acceptable.
• Additional note
• Torque minimum of 39.235 Nm for positive
  displacement.