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The largest principal stress is compressive and located at the center of the rectangular flat and is pmax in magnitude. The largest shear stress is approximately 0.30pmax and is located at about 0.78b below the surface. The maximum compressive stress is repeatedly applied in rolling cylinders. At a position of z = 0.4b, y = 0.915b the shear stress has a magnitude of 0.242pmax but is completely reversed in rolling cylinders. The loss of surface integrity due to repeated application of hertzian contact stresses is called surface fatigue. The phenomenon is marked by the loss of material from the surface, leaving pits or voids. The onset of fatigue is often defined as the appearance of craters larger than a specified breadth. If Eq. (29.33) is substituted into Eq. (29.34) and the magnitude of pmax associated with the first tangible evidence of fatigue at a specified number of cycles is called the surface endurance strength Sfe, then F

The 32-channel serial input scanner/alarm system is a unique system that can be used to monitor up to 32 channels ie, inputs or on/off conditions over a single serial wire or wireless link You could monitor 32 alarm conditions via a low-power wireless link and report this information back to a STAMP 2 set up as an alarm controller The STAMP could then be used to display each channel via an LCD panel and sound an alarm if desired The heart of the 32-channel monitor system is an NCD-102 addressable parallel-to-serial converter chip, shown in Fig 3-17 The NCD is a preprogrammed microcontroller designed to perform high-speed parallel-to-serial encoding from a standard serial source The NCD-102 can be chained to four other NCD-102s to form a 32-channel monitoring system The NCD-102 is a polled device operating in a speak when spoken to mode.

(29.39)

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The left-hand side of the equation consists of parameters under the designer s control. The right-hand side consists of materials properties. The factor K is called Buckingham s load-stress factor and is associated with a number of cycles. In gear studies a similar K factor is used and is related to K through Kg = K sin 4 (29.40)

where = gear-tooth pressure angle. Note that pmax is proportional to other stresses present, and it is conventional to describe surface fatigue in terms of the strength Sfe. Reference [29.1] gives Kg information for pressure angles of = 141 2 degrees and = 20 degrees, as well as Sfe for various materials and numbers of cycles. The implication in the literature that above various cycles Kg does not change is unsupported. Log-log plots of K or Kg versus cycles to failure produce parallel lines with some consistency in slope for classes of material. AGMA standard 218.01 (Dec. 1982) suggests allowable contact-stress numbers for steel as high as ( )107 = 0.364HB + 27 kpsi for 10 cycles, and for the curve fit for other than 10 cycles, N = CL 107 = 2.46N 0.056(0.364HB + 27) kpsi (29.42) For applications where little or no pitting is permissible, the slope of 0.056 persists to 1010 (end of presentation). Another curve fit to Sfe data for steel at 108 cycles is (Sfe )108 = 0.4HB 10 kpsi (29.43) When a gear and pinion are in mesh, the number of cycles to which a point on the tooth surface is exposed is different. Consequently, the material strengths can be tuned to have both pinion and gear show tangible signs of wear simultaneously. For steel gears, using Eq. (29.43), the appropriate gear hardness BHN for a stipulated pinion hardness bhn is

(29.41)

Name jumpers are used to determine the input s identity in the system or network When a valid name and carriage return are received by the NCD-102, the device reads the current status of each of the eight pins and replies with a byte of data The unique NCD-102 only uses four external parts per chip Two 10-k resistors are used for programming Jumpers are set up to four possible combinations A ceramic resonator is used to set the speed or baud rate of the NCD-102 Four speeds can be set, from 1200 to 9600 baud The fourth component is a 22-k series resistor at pin 2 The converter is powered from a 5-Vdc source at pin 3 and 4 System ground is found on pin 5 Four converter chips can be connected together to form a 32-channel system.

(29.44)

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