A Student's Introduction to Engineering Design - download pdf or read online

By Harold A. Simon

ISBN-10: 0080182348

ISBN-13: 9780080182346

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2. Identify the basic need in each of the following situations, and hence give a possible modification of the need statement given. (i) The expressway from the suburb to the city is overloaded and must be widened. (ii) The television antennae must be moved to the tallest building to avoid double images on receivers. (iii) The maximum speed automobiles are capable of must be reduced for safety. 1 MODELS IN GENERAL Much of what a designer does reflects his skill in modeling techniques. The purpose of modeling is the representation of the real world in some convenient way that will add to or improve information about its behavior.

Try to find the dimensionless groups by inspection, verifying that a complete set has been found and that each is independent of the others. These exercises reveal some of the power of this method in tackling quite complicated problems. However, one does need to know which quantities have a bearing on the problem before the method can be applied. Completely ridiculous results can be generated if physical insight is at fault. For example, if it were postulated that the height, ft, that a high jumper can reach depends only on the time f, spent practicing and the acceleration due to gravity, g, dimensional analysis yields tVg/h = constant, clearly a meaningless result.

What happens if this is not the case? Say the density, p, had been omitted from the formulation. Often, if an important parameter is omitted, the result will be meaningless, and no exact correlation will be obtained. However, in this case, if p is neglected, a useful limiting case is obtained as follows: F —ΓΤ7 = constant μυι This represents the case where the velocity is so low that inertial forces may be neglected as compared with viscous forces. Here dimensional analysis reveals the exact functional relationship, and only one experiment or an exact analysis is required to establish the constant.

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A Student's Introduction to Engineering Design by Harold A. Simon


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