Engineering Surveying, Sixth Edition
With many worked examples and illustrations of tools and techniques, this important text gives readers a clear understanding of fundamentals such as vertical control, distance, angles and position.
TABLE OF CONTENTS Engineering Surveying, Sixth Edition
10.3: COMPOUND AND REVERSE CURVES
10.3 COMPOUND AND REVERSE CURVES
Although equations are available which solve compound curves (Figure 10.14) and reverse curves (Figure 10.15), they are difficult to remember so it is best to treat the problem as two simple curves with a common tangent point t.
Figure 10.14: Compound curve
Figure 10.15: Reverse curve
In the case of the compound curve, the total tangent lengths T 1 I and T 2 I are found as follows:
| R 1 tan ? 1/2 = T 1 t 1 = t 1 t | and | R 2 tan ? 2/2 = T 2 t 2 = t 2 t, as t 1 t 2 = t 1 t + t 2 t |
then triangle t 1 It 2 may be solved for lengths t 1 I and t 2 I which, if added to the known lengths T 1 t 1 and T 2 t 2 respectively, give the total tangent lengths.
In setting out this curve, the first curve R 1 is set out in the usual way to point t. The theodolite is moved to t and backsighted to T 1, with the horizontal circle reading (180 - ? 1/2). Set the instrument to read zero and it will then be pointing to t 2. Thus the instrument is now oriented and reading zero, prior to setting out curve R 2.
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