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where bG is the dedendum of gear teeth in inches. Compare this root diameter with that given by Eq. (12.23). If it does not agree, alter the pitch diameter until the root diameter is within the desired limits. Where horsepower rating is not a factor, there is no limitation regarding pitch diameter of the worm. Where efficiency is not as important as strength or loadcarrying capacity, increasing the worm root diameter and gear face width will result in greater capacity.

3.71 4.67 4.75 4.04

LeaseScheduleId, OwnerId, @intEquipmentId, @intLocationId, @intLeaseScheduleId,@intOwnerId,

12.8.7 Base Circle The base circle may be secured from a layout in the following way. The normal pressure angle is always 20 . The axial pressure angle may be obtained from x = tan 1 tan n cos (12.24)

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Once the centerline of the worm and gear, the vertical centerline, and the gear pitch circle are laid out, measure along the common worm and gear pitch circle to the right or left of the vertical centerline an amount equal to one-fourth the axial circular pitch px. Through the point thus established and at an angle to the vertical centerline equal to the axial pressure angle x, extend a line upward. A circle tangent to this line and concentric to the gear axis is the base circle. Adjust this diameter to the nearest 0.01 in. The formula for figuring the base circle diameter is Db = D sin x + 90 NG (12.25)

Unfortunately, this solution presents a problem. This statement will also completely stop execution of the current batch. The error can still be detected and handled from the client application, but inside the Transact-SQL code, SQL Server will treat it as a fatal error.

0.000 0.000 0.000 0.000

from the right end. We evaluate F(x) at the chosen points. If the value of F(x) at x(1) is algebraically smaller than at x(2), then we eliminate the subinterval between x(2) and the right end of the search interval. In the oppositive event, we eliminate the subinterval between x(1) and the left end. The distance of 0.236D between x(1) and x(2) equals 0.382 of the new search interval, which is 0.618D overall. Thus we have already located one point at 0.382 of the new search interval, and we have determined the value of F(x) at that point. We need only locate a point that is 0.382 from the opposite end of the new search interval, evaluate F(x) at that point, and go through the elimination procedure, as before, to further reduce the search interval. The process is repeated until the entire remaining interval is small and the value of F(x) at the two points at which it is evaluated is the same within the desired accuracy. The preceding method may run into difficulty if the function F(x) is flat, that is, if F(x) does not vary over a substantial part of the search interval or if F(x) happens to have the same value at the two points that are compared with each other. The first case is not likely to occur in the types of problems under consideration here. In the second case, we calculate F(x) at another point, near one of the two points of comparison, and use the newly chosen point in place of the nearby original point. Reference [30.2] derives the golden-section search strategy and provides equations (p. 289) for predicting the number of function evaluations required to attain a specified fractional reduction of search interval or an absolute final search interval size.

An important tool for implementing error handling is the RAISERROR statement. Its main purpose is to return a message to the user. Open Query Analyzer and execute the following statement:

The reason why we devoted so much attention to uniform prismatic column problems is that their solution is analytically simple, so that we could obtain the results directly. In most other cases, we have to be satisfied with approximate formulations for computer (or programmable calculator) calculation of the solution. The finiteelement method is the approximation method most widely used in engineering at

Figure 16.5 quantities).

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.

Raiserror ('Error occurred!', 0, 1)

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