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Virginia Tech

Analysis of spur gear teeth for static deflections

Abstract

dc:description.abstract

The problem of the deflection of spur gear teeth has been previously investigated analytically by several authors. Two of the papers dealing with this topic were written by Timoshenko and Baud (18)t and Marin and Shenk (11). Both papers employ the cantilever beam approach in which the spur gear tooth is represented as a rigidly supported, cantilever beam of uniform thickness tapered in the plane of load application. Deflection is considered to be caused by bending moment, shearing force, and Hertzian pressure at the point of load application. Two additional papers were written by Weber (25) and Attia (3) in which the actual involute gear tooth was considered to be an elastically supported cantilever beam rather than rigidly clamped at the root of the tooth. Likewise, circumferential deformation of the gear body was considered. However, the derived equations for the total deflection due to these effects are exceedingly complicated and require the use of numerical methods for their solution since some of the equations are in integral form.

Degree

thesis:*
Name thesis:degree_name
Master of Science
Level thesis:degree_level
masters
Discipline thesis:degree_discipline
Mechanical Engineering
Department dc:contributor.department
Mechanical Engineering
Grantor dc:publisher
Virginia Tech
Year dc:date.issued
1966

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Caldwell, Sherwood McCraw
Chair dc:contributor.committeechair
  • Mabie, Hamilton H.
Committee members dc:contributor.committeemember
  • Padis, L. A.
  • Trent, Clarence E.

Rights

dc:rights
Statement dc:rights
  • In Copyright

Identifiers

dc:identifier.*
Dc Identifier Other
etd-03302010-020544
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/41867

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
related terms
citation

Caldwell, Sherwood McCraw. Analysis of spur gear teeth for static deflections. masters thesis, Virginia Tech, 1966. http://hdl.handle.net/10919/41867