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When two bodies with curved surfaces are in contact under a force, point or line contact between these bodies changes to area contact, and  3 dimensional stresses are developed  These stresses are contact stresses. A knowledge of contact stresses is important in calculating strength of bearings, gear and worm drives, ball and cylindrical rollers, and cam mechanisms. Typical failures are seen as cracks, pits, or flaking in the surface material.

The contact stress calculator has been designed to calculate contact pressure and contact stress for spherical and cylindrical contact. Maximum shear stresses are drawn with respect to the depth from contact surface for Object-1 and Object-2. The formulas used for the calculations are given in the "List of Equations" section.

Contact configurations which can be calculated by "Hertzian contact stress calculator" are shown below.

Note: For more information on contact stresses, spherical contact and cylindrical contact, please refer to Chapter 3.19 (Contact Stresses) of Shigley's Mechanical Engineering Design .

Hertzian Contact Stress Calculator:

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INPUT PARAMETERS
Parameter	Object-1	Object-2	Unit
Object shape	Sphere Cylinder	Sphere Plane Cup
Poisson's ratio [v1,v2]
Elastic modulus [E1,E弗吉尼亚罚球绝杀 弗吉尼亚罚球绝杀 ,错缘电视剧全集 错缘电视剧全集 ,校园狂少2txt全集下载 校园狂少2txt全集下载 2]			GPa ksi
Diameter of object [d1,d2]			mm 弗吉尼亚罚球绝杀 弗吉尼亚罚球绝杀 ,错缘电视剧全集 错缘电视剧全集 ,校园狂少2txt全集下载 校园狂少2txt全集下载 m inch ft
Force [F]			N kN lbf

Please Wait... 

RESULTS
Parameter	Obj-1	Obj-2	Unit
Maximum Hertzian contact pressure [pmax]	---		MPa psi
Max shear stress [τmax]	---	---
Depth of max shear stress [z]	---	---	mm inch
Circular contact area diameter  [2a ]	---

Note: Use dot "." as decimal separator.

Object-1

Object-2

Definitions:

Cylindrical contact: The contact of two cylindrical parts where the contact line turns to rectangle area with the presence of a contact force. The area of contact is a narrow rectangle of width 2b and cylinder length l.

Modulus of elasticity (Young’s modulus): The rate of change of unit tensile or compressive stress with respect to unit tensile or compressive strain for the condition of uniaxial stress within the proportional limit. Typical values: Aluminum: 69 GPa, Steel: 200GPa.

Poisson’s ratio: The ratio of lateral unit strain to longitudinal unit strain under the condition of uniform and uniaxial longitudinal stress within the proportional limit.

Proportional Limit: The largest value of stress up to which a linear relation still exist between stress and strain (Hooke’s Law).

Spherical contact: The contact of two spherical parts where contact point turns to a circular area of radius a under the presence of contact force. A contact pressure pmax is occurred on this contact area.

Shear stress: A form of a stress acts parallel to the surface (cross section) which has a cutting nature.

Stress: Average force per unit area which results strain of material.

List of Equations:

Supplements:

An additional calculation tool for Contact Calculations of Sphere in Circular Race has been developed to calculate contact stresses in ball bearings.

Reference:

• Budynas.R , Nisbett.K . (2014) . 弗吉尼亚罚球绝杀 弗吉尼亚罚球绝杀 ,错缘电视剧全集 错缘电视剧全集 ,校园狂少2txt全集下载 校园狂少2txt全集下载 Shigley's Mechanical Engineering Design . 10th edition.  McGraw-Hill