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To be able to lerp between two points, you will need a start point, an end point, and a value between 0 and 1 that is my position along that line. In the case of your particles, you can use the life as a positional indicator, but in order to get a life value between 0 and 1, you will need to know the starting life value. You will also need a place to put your color values in the particle:

By expressing this in terms of the principal stresses and a design factor, we have 3 1 Sy [( 1 2)2 + ( 2 3)2 + ( 3 1)2]1/2 = = [ o]lim = n 2 2 (28.1)

The term is called the von Mises stress. It is the uniaxial tensile stress that induces the same octahedral shear (or distortion energy) in the uniaxial tension test specimen as does the triaxial stress state in the actual part. For plane stress, one principal stress is zero. If the larger nonzero principal stress is A and the smaller B, then

1 2 3 4

2 2 = ( A + B A B)1/2 =

(28.2)

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By substituting the relation A,B = we get a more convenient form:

2 = ( x2 + y2 x y + 3 xy)1/2 =

8 7 6

(28.3)

Just having a name and an associated address is not all there is to an interface. Networking interfaces might have additional capabilities and be in different states (for example, active or inactive). These properties are represented by the interface flags listed in Table 7-1, queried with the help of SIOCGIFFLAGS, as shown in Listing 8-10.

Example 1. A thin-walled pressure cylinder has a tangential stress of and a longitudinal stress of /2. What is the permissible tangential stress for a design factor of n Solution

2 2 = ( A + B A B)1/2

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it retains data with power off It is intended for applications in which data is read often and written infrequently, since write operations gradually wear it out Xicor says that the X25640 will survive a minimum of 100,000 writes Data stored in the EEPROM should remain intact without power for 100 years or more EEPROMs are typically used to store calibration tables, control settings, programs, maintenance logs, and small databases (such as lists of telephone numbers in an autodialer) that change fairly infrequently, but must be retained when the power is turned off The X25640 s relatively large storage capacity, simple interface, and low power consumption (100 A inactive) make it well suited for data logging (see Fig 3-4) The X25640 s interface is compatible with Motorola s serial peripheral interface (SPI) bus.

Note especially that this result is larger than the uniaxial yield strength divided by the design factor. Example 2. Estimate the shearing yield strength from the tensile yield strength. Solution. Set A = , B = , and at yield, = Ssy, so

The interface is active. The interface does not represent a real network. Usually this has the address 127.0.0.1. The interface represents a remote connection to a single peer. Such interfaces are used to connect to the Internet via the carrier and for VPN connections. The interface allows sending datagrams to groups of hosts.

28.2.1 Brittle Materials To define the criterion of failure for brittle materials as rupture, we require that the fractional reduction in area be less than 0.05; this corresponds to a true strain at fracture of about 0.05. Brittle materials commonly exhibit an ultimate compressive strength significantly larger than their ultimate tensile strength. And unlike with ductile materials, the ultimate torsional strength is approximately equal to the ultimate tensile strength. If A and B are ordered-plane principal stresses, then there are five points on the rupture locus in the A B plane that can be immediately identified (Fig. 28.1). These are

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