Structural Design of Pavements PART VI Structural ... - TU Delft
Structural Design of Pavements PART VI Structural ... - TU Delft
Structural Design of Pavements PART VI Structural ... - TU Delft
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13<br />
4. Measurement plan:<br />
The question always is how many measurements should be taken and where should the<br />
measurements be taken on a specific stretch <strong>of</strong> pavement in order to get a reliable picture <strong>of</strong><br />
the flexural stiffness <strong>of</strong> the pavement. Some guidelines for this will be given in this chapter.<br />
4.1 Estimation <strong>of</strong> the number to test points per section:<br />
In this section the method presented in [2] is described which allow the number <strong>of</strong> tests to be<br />
determined that are needed on a particular road section to obtain a proper insight in the<br />
bearing capacity <strong>of</strong> the pavement.<br />
One can calculate a statistical quantity R, called the limit <strong>of</strong> accuracy, which represents the<br />
probable range the true mean differs from the average obtained by “n” tests at a given degree<br />
<strong>of</strong> confidence. The larger n is, the smaller value will be obtained for R which means that the<br />
mean value calculated from the data obtained from the tests will differ less from the true mean<br />
value. The mathematical expression is:<br />
R = K α . ( σ / √ n )<br />
Where: K α<br />
σ<br />
= standardised normal deviate which is a function <strong>of</strong> the desired confidence<br />
level 100 . (1 - α),<br />
= true standard deviation <strong>of</strong> the random variable (parameter) considered.<br />
If the confidence level is chosen and if a proper estimate for σ is obtained, R is inversely<br />
proportional to the square root <strong>of</strong> the number <strong>of</strong> tests.<br />
Figure 7shows the basic shape <strong>of</strong> the relation between n and R.<br />
Figure 7: Typical limit <strong>of</strong> accuracy curve for all pavement variables showing general zones.