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60 The Role of the Chemist in Automotive Design<br />

can be excited in various patterns at different frequencies. This property is an indication<br />

of the part’s stiffness and is proportional to the square of the stiffness divided<br />

by the mass or<br />

f =<br />

stiffness<br />

mass<br />

Another very important predictive output is the amount of deformation that the<br />

material is subject to. These are typically called total displacement plots, as shown<br />

in Figure 4.17. In our example, the beam was displaced 2.003 mm.<br />

4.7 PredIctIve desIgn For tHe cost ImPeratIve<br />

Optimizing design for the cost imperative is critical for today’s applications. Performance<br />

to cost design is affected by a number of factors. These factors include material cost,<br />

processing cost, tooling cost, secondary cost, and inventory cost. The simple spreadsheet<br />

shown in Figure 4.18 can be used as a guide to help understand and track raw material<br />

cost. Typically, the chemist would approximate the length, width, and height to get an<br />

approximate volume for the part. The material quantity can then be calculated from the<br />

part’s volume and density. The material quantity is corrected for material scrap loss. The<br />

price per pound or kilogram minus overhead will then give the total material cost.<br />

Manufacturing cost can also be comprehended by the use of a spreadsheet and<br />

some knowledge of the process. Figure 4.19 shows manufacturing costs that should be<br />

considered. The equipment purchase price is considered along with the amoritization<br />

rate, number of shifts, interest rate on the equipment, energy cost for the equipment,<br />

and floor space cost. Equipment time rate should be considered. The equipment time<br />

FIgure 4.17 Part with cantilevered beam showing total displacements.

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