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Standard Stress Methods Doc Contact Stresses D.1.0.0 REFERENCES [1] W.C. Young R.G. Budynas - Roark's Formulas for Stress & Strain, 7th E [2] OEM Proprietary Data [3] OEM Proprietary Data D.2.0.0 CALCULATIONS Roller Material: Steel 197190 MPa Modulus of Elasticity 0.30 Poisson's Ratio Track Material: Titanium 110316 MPa Yong's Modulus 0.30 Poisson's Ratio D = 25.40 mm Roller Diameter w = 25.40 mm Roller Effective Width P = 31364 N Applied Load C = 1.29E-05 #ADDIN? p = 1235 N/mm b = 1.02 mm #ADDIN? Width of Rectangular Contact Area 1551 MPa #ADDIN? Max. Compressive Stress 517 MPa #ADDIN? Max. Shear Stress at Depth of 0.4b below the Track Surface E1 = n1 = E2 = n2 = Roller Load per Unit Length p = P/ sC = tS = P P D b Track Roller Roller Outer Race Width w D = (1 - n 1 2 )/E 1 + (1 - n 2 2 )/E 2 = 1.6(pD C ) 0.5 = 0.798(p /[D C ]) 0.5 = s C /3

AA SM 008ContactStresses

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Page 1: AA SM 008ContactStresses

Standard Stress Methods Doc: AA-SM-008

Revision: A

Contact Stresses Page: 1

D.1.0.0 REFERENCES

[1] W.C. Young R.G. Budynas - Roark's Formulas for Stress & Strain, 7th Edition, Table 14.1[2] OEM Proprietary Data[3] OEM Proprietary Data

D.2.0.0 CALCULATIONS

Roller Material: Steel

197190 MPa Modulus of Elasticity

0.30 Poisson's Ratio

Track Material: Titanium

110316 MPa Yong's Modulus

0.30 Poisson's Ratio

D = 25.40 mm Roller Diameterw = 25.40 mm Roller Effective Width

P = 31364 N Applied Load

C = 1.29E-05 #ADDIN?

p = 1235 N/mm

b = 1.02 mm #ADDIN?Width of Rectangular Contact Area

1551 MPa #ADDIN?Max. Compressive Stress

517 MPa #ADDIN?Max. Shear Stress at Depth of 0.4b (0.41 mm)below the Track Surface

E1 =

n1 =

E2 =

n2 =

Roller Load per Unit Length p = P/w

sC =

tS =

PP D

b

Track

Roller

Roller OuterRace Width

w

D

= (1 - n12) / E1 + (1 - n2

2) / E2

= 1.6(pDC)0.5

= 0.798(p / [DC])0.5

=sC / 3

Page 2: AA SM 008ContactStresses

Prepared by: R. Abbott Date: Jan 2008 Checked by:___________________Date:__________

Standard Stress Methods Doc: AA-SM-008

Revision: A

Contact Stresses Page: 2

D.3.0.0 ALLOWABLE STRESSES

From Ref. [3].

Page 3: AA SM 008ContactStresses

Prepared by: R. Abbott Date: Jan 2008 Checked by:___________________Date:__________