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6.7.1 Nomenclature a C1 C2 E f h ID M OD P Pf R Sc ST1 ST2 t T1 T2 OD/2, mm (in) Compressive stress constant (see formula and Fig. 6.28) Compressive stress constant (see formula and Fig. 6.28) Modulus of elasticity (see Table 6.19), MPa (psi) Deflection, mm (in) Inside height, mm (in) Inside diameter, mm (in) Constant Outside diameter, mm (in) Load, N (lb) Load at flat position, N (lb) OD/ID Compressive stress (Fig. 6.27), MPa (psi) Tensile stress (Fig. 6.27), MPa (psi) Tensile stress (Fig. 6.27), MPa (psi) Thickness, mm (in) Tensile stress constant (see formula and Fig. 6.29) Tensile stress constant (see formula and Fig. 6.29) Poisson s ratio (Table 6.19)

That should dump out a call stack that s in a human-readable format, allowing you to see where your app crashed. It should turn something like this:

(6.39) (6.40)

FIGURE 6.27 Highest-stressed regions in Belleville washers. (Associated Spring, Barnes Group Inc.)

P4(11)

Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.

FIGURE 6.28 Compressive stress constants for Belleville washers. (Associated Spring, Barnes Group Inc.)

Thread 0 Crashed: 0 OpenAL 0x33abdbb8 0x33aac000 + 72632 1 OpenAL 0x33ab77c8 0x33aac000 + 47048 2 Dapple 0x000046ce 0x1000 + 14030

Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.

FIGURE 6.29 Tensile stress constants for Belleville washers. (Associated Spring, Barnes Group Inc.)

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The BASIC STAMP 2 is available in two different types: dual inline package (DIP) or a small outline integrated circuit (SOIC) package. The BASIC STAMP 2 is a PIC16C57 chip with a PBASIC2 interpreter running at 20 MHz. The STAMP 2 has 16 pins for input/output applications and can talk directly to a serial port from a personal computer, for programming. Parallax, which sells the STAMP 2 products, offers the STAMP 2 in a 24-pin module, which is a self-contained STAMP 2 with onboard regulator and brownout protection. This STAMP 2 module is offered for $49. There are now many versions of the

Ef f C1 h + C2 t (1 2 )Ma2 2 Ef f C1 h C2 t (1 2 )Ma2 2 Ef f T1 h + T2 t (1 2 )a2 2

(6.41) (6.42) (6.43)

into something like this:

The design approach recommended here depends on first determining the loads and stresses at flat position, as shown in Fig. 6.30. Intermediate loads are determined from the curves in Fig. 6.31. Figure 6.30 gives the values graphically for compressive stresses Sc at flat position. The stress at intermediate stages is approximately proportional to the deflection. For critical applications involving close tolerances or unusual proportions, stresses should be checked by using the equation before the design is finalized. The stress level for static applications is evaluated in accordance with Eq. (6.41). This equation has been used most commonly for appraising the design of a Belleville spring because it gives the highest numerical value. It gives the compressive stress at the point shown in Fig. 6.27.

P5(12) P6(13) P7(14)

Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.

6.46 Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.

FIGURE 6.30 Loads and compressive stresses Sc for Belleville washers with various outside diameters and h/t ratios. (Associated Spring, Barnes Group Inc.)

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FIGURE 6.31 Load-deflection characteristics for Belleville washers. If a washer is supported and loaded at its edges so that it is deflected beyond the flat position, then the greatest possible deflection can be utilized. Since the load-deflection curve beyond the horizontal position is symmetric with the first part of the curve, this chart has been labeled at the right and top to be read upside down for deflection beyond horizontal. Dotted lines extending beyond the chart indicate continuation of curves beyond flat. (Associated Spring, Barnes Group Inc.)

P0(7)

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