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then is to read data, pass it to the parser, and receive audio data in your callback functions. The callback functions will almost always be called multiple times as data is received. Figure 3-3 illustrates how this operates once playback has started.

The spring rate (also called stiffness or scale) of a body or ensemble of bodies is defined as the partial derivative of force (torque) with respect to colinear displacement (rotation). For a helical tension or compression spring, F= where d 4Gy 8D3N thus k= d 4G F = y 8D3N (37.1)

In a round bar subject to torsion, T= GJ thus k= T GJ = (37.2)

Listing 9-1

and the tensile force in an elongating bar of any cross section is F= AE thus k= F AE = (37.3)

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Figure 3-3 also shows yet another callback, here called the post-play callback. As with Audio Queue Services, you re creating buffers of audio data that you then add to the audio queue. Once a buffer has been played, though, it can t be passed back to the audio data callback, because it s expecting audio packets from the parser. So, instead, the audio queue passes the buffer to another callback function so that you can take care of cleaning it up. You could choose to allocate new buffers on the fly and then release the memory in this callback. This might tend to use a lot of memory, though, unless you strictly limited the number of buffers that were permitted to exist at any one time. A simple way to accomplish this is to preallocate a pool of buffers. The audio data callback takes an existing buffer from the pool or blocks if none is available. When you add a buffer to the audio queue, you mark it as being in use, and after it has been played, you clear the in-use setting and return it to the pool.

If k is constant, as in these cases, then displacement is said to be linear with respect to force (torque). For contacting bodies with all four radii of curvature finite, the approach of the bodies is proportional to load to the two-thirds power, making the spring rate proportional to load to the one-third power. In hydrodynamic film bearings, the partial derivative would be evaluated numerically by dividing a small change in load by the displacement in the direction of the load.

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 relations involved in the bending of beams are well known and are given here for reference purposes as follows: q d 4y = EI dx4 V d 3y = EI dx3 M d2y = EI dx2 = dy dx (37.4) (37.5) (37.6) (37.7) (37.8)

c var d var e var f var g var h var i var j var k var 'l var 'input lines nrd var fcta var fctb var skp var fctc var 'constants dtst con dtlmt con bllmt con cidad con blnad cidro bi nb con con con con

y = f(x)

An important consideration with this new callback is that Audio Queue Services will invoke the callback on a separate thread, which is created to handle the actual playback Once playback completes, the post-play callback is called on this same thread Any code you include in the callback needs to be aware of the fact that it s running on a different thread than the rest of the code You ll use an NSCondition object to synchronize threads and to safely handle the audio buffer pool Listing 3-13 shows the interface for a simple audio streaming class It starts with declarations for the number and size of buffers In this case I m using fixed values instead of using the utility function from earlier to try to optimize the sizes.

These relations are illustrated by the beam of Fig. 37.1. Note that the x axis is positive to the right and the y axis is positive upward. All quantities loading, shear force, support reactions, moment, slope, and deflection have the same sense as y; they are positive if upward, negative if downward.

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