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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.

For a constant-thickness disk without a central hole, the radial and tangential stresses are then given by r = 0 1 t = 0 1 and the maximum stress, at r = 0, is r,max = t,max = 0 For a disk with a central hole, the stresses are given by r = 0 1 t = 0 1 The maximum radial stress, at r = r 2 r2 r2 i i 2 + 2 ro ro r 2 1 + 3 r 2 r 2 r 2 i i 2 + 2 + 3 + ro ro r 2 (7.62) (7.61) r2 2 ro 1 + 3 r 2 2 3 + ro (7.59)

4 5 6 7

(7.60)

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Figure 1-7. The particle life cycle. Nonactive particles start in the pool. They are pulled out of the pool and given some initial state when they are emitted. They live out their exciting particle life until they finally die. They are then collected and returned to particle limbo to await resurrection.

(7.63)

r,max = 0 1 and the maximum tangential stress, at r = ri , is t,max = 0 2 + The inertia is J=

(7.64)

7 8 9 10 11

(7.65)

The downside to this method is that it can be very memory consuming, and the setup time can be significant if you have many particle systems. The secret is to tune the max particles for the type of effect you are creating. A blizzard of falling snow might require a few thousand particles, whereas a subtle foreground of falling leaves may require only a few dozen.

(7.66)

Example 8. A steel disk of uniform thickness and outer radius 0.6 m rotates at 30 rad/s. Find the maximum stress in the disk if it has an integral shaft, neglecting stress rises due to the geometry change at the shaft. What is the maximum disk stress if the disk is bored for a shaft of 0.025-m radius The stress is independent of thickness. From Eqs. (7.58) and (7.61) with = 76.5 kN/m3 and = 0.3, r,max = t,max = 0 = 76.5(0.6)2(30)2(3 + 0.3) = 1.043 MPa 8(9.80)(1000) (7.67) 0.6(0.025) = 0.122 m.

circuit socket for the BASIC STAMP 2 microprocessor is highly recommended When assembling your Morse code keyer be sure to observe the correct polarity when installing capacitors, diodes, and transistors, to ensure your circuit will operate correctly when power is first applied The Morse keyer circuit is mounted in a small plastic enclosure with the on/off switch and reset switch and the four custom message buttons on the front or top of the case The power switch S1 is an SPST toggle switch, while the system reset button S2 is a momentary pushbutton switch Switches S3, S4, S5, S6 are the custom message momentary push buttons Note the 10-k pull-up resistors across the input pushbutton switches The two outputs from the Morse keyer are at pins 5 (P0) and 6 (P1).

For the bored disk, the maximum radial stress occurs at r = From Eq. (7.64), r,max = 1.043 1 0.025 0.6

(7.68)

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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.

The maximum tangential stress occurs at the hub. From Eq. (7.65), t,max = 1.043 2 + = 2.09 MPa 2 2(0.3) (0.025)2 (0.6)2 3 + 0.3 (7.69)

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