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     Roller/Track Contact Stress

Given:       Roller and track mechanism, with data as shown, to serve as guide for sliding door.

Required:  Determine the contact stresses occurring at the roller / track interface.

Door & Track Data:

Maximum Door Weight, (lbf)..................:

Overload           Weight, (lbf).................:


Door Width, (in).........................……..........:

Door Height, (in)..........................……........:


Roller Grove Diameter, (in)....................:

Track Rod    Diameter, (in)....................:


Roller Pitch Diameter, (in)...............….....:

Track Major Diameter, (in).....................:


Orientation Angle, (radians)...................:

Number of rollers ...........................…......:


Roller Elastic Modulus, (psi)..........…......:

Track Elastic Modulus, (psi)..........…......:


Roller Poisson's Ratio ..................……......:

Track Poisson's Ratio ..................……......:

Hinge Mechanical Properties:

Roller - Approx. Min. Yield, (psi) of 4 in round, oil quench/temper to Rc 29..AISI 4140:

Track - Approx. Min. Yield, (psi) of 1 in round, oil quench/temper to Rc 30.. AISI 4140:


1This value is an approximate minimum yield strength, Ymn, when quenched and tempered to the specified hardness. (Ref.: "Modern Steels & Their Properties", Bethlehem Steel Corporation, Handbook 3310, pg. 148).


2Approximate minimum yield, as drawn (Ref.: "Handbook of machining Data for Cold

Finished Steel Bars", Republic Steel Corporation, 1973, pg.94.).

psi.

psi.

Roller / Track Cross Section

Ref Boresi, Sidebottom, Seely, Smith, "Advanced Mechanics of Materials," Wiley & Sons,  3rd Edition, 1978, pg. 581-627.

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