Sites:
Home > Technical Library

Appendix 4: Subsurface Stresses in Line Contact

By K. L. Johnson
From Contact Mechanics

Tractions: p=p 0{1 ? (x/a) 2} 1/2; q=q 0{1 ? (x/a) 2} 1/2

? ( ? x ) p /p 0 and ?( ? zx ) q /q 0

x/a

z/a

0

0.2

0.4

0.6

0.8

1.0

1.5

2.0

0

1.000

0.980

0.917

0.800

0.600

0

0

0

0.2

0.659

0.642

0.591

0.507

0.402

0.329

0.124

0.060

0.4

0.426

0.416

0.391

0.357

0.330

0.316

0.197

0.109

0.6

0.275

0.272

0.267

0.265

0.270

0.276

0.221

0.142

0.8

0.180

0.182

0.188

0.200

0.217

0.232

0.218

0.160

1.0

0.121

0.125

0.135

0.153

0.173

0.192

0.201

0.165

1.5

0.051

0.054

0.065

0.081

0.099

0.118

0.148

0.148

2.0

0.025

0.027

0.034

0.045

0.059

0.073

0.103

0.117

? ( ? z )p/P 0

x/a

z/a

0

0.2

0.4

0.6

0.8

1.0

1.5

2.0

0

1.000

0.980

0.917

0.800

0.600

0

0

0

0.2

0.981

0.959

0.892

0.767

0.549

0.212

0.006

0.001

0.4

0.928

0.906

0.834

0.705

0.509

0.281

0.034

0.007

0.6

0.857

0.834

0.765

0.648

0.490

0.320

0.074

0.020

0.8

0.781

0.760

0.699

0.600

0.474

0.342

0.114

0.038

1.0

0.707

0.690

0.638

0.557

0.457

0.352

0.148

0.059

1.5

0.555

0.544

0.514

0.468

0.410

0.346

0.202

0.107

2.0

0.447

0.441

0.424

0.396

0.361

0.322

0.221

0.140

x/a

z/a

0

0.2

0.4

0.6

0.8

1.0

1.5

2.0

0

0

0

0

0

0

0

0

0

0.2

0

0.038

0.080

0.131

0.192

0.192

0.025

0.007

0.4

0

0.064

0.130

0.195

0.242

0.230

0.076

0.027

0.6

0

0.075

0.147
Copyright Cambridge University Press 1985 under license agreement with Books24x7
Products & Services
UV Filters
Ultraviolet (UV) filters are optical filters which can be used to filter light in the ultraviolet part of the spectrum.
X-ray Sources
X-ray sources are lamps that generate or produce X-rays, a form of electromagnetic radiation, for non-destructive testing (NDT) or inspection.
I/Q Modulators and I/Q Demodulators
I/Q modulators and I/Q demodulators change the amplitude, frequency, or phase of a carrier signal in order to transmit information. I/Q modulators split an incoming data stream into its in-phase (I) and quadrature (Q) components, mix the resulting signals with local oscillators that are 90º apart in phase, and then combine the outputs vectorially in a 0º mixer.
Color Meters and Appearance Instruments
Color meters and appearance instruments are used to measure the properties of paints and coatings including color, gloss, haze and transparency.
Flip-Flops
Flip-flops are digital logic devices that synchronize changes in output state (1 or 0) according to a clocked input.
Topics of Interest

Ellipticity ?C 11 ?C 22 C 23= ? C 32 ?C 33 a/b [(i)] 0.2 3.56 2.65 0.62 4.68 0.4 3.72 2.91 0.83 2.42 0.6 3.90...

Table 1: Standard normal distribution table. Table 2: t distribution table Table 3: Gamma function table Table 4: Sigma level, Yield and DPMO table Table 1: Area under standard...

The following table specifies the number of channels required for a given blocking probability and traffic demand. In order to determine the required number of channels for a given blocking...

Appendix 20.1: Cumulative Standard Normal Distribution z 0.00 0.01 0.02 0.03 0.04 z 0.0 0.50000 0.50399 0.50798 0.51197...

4.1 Aluminium Casting Alloys TABLE 4.1: ALUMINIUM-SILICON ALLOYS Specification BS 1490: 1988 Related British Specifications LM6M(Ge) BS L33 LM20M(Ge) LM9M(SP) LM9TE(SP)...