Given a compound circular curve with radii of 600 ft. and 450 ft. designed to connect two tangents that intersect at an angle of 75°, determine the central angles and the corresponding chord lengths for setting out the curve if the central angle of the first curve is 45° and the PCC is at station (675+35.25).
What will be an ideal response?
For curve 1 (R = 600 ft), using Equation 15.20:
D = 5729.6/R = 5729.6 / 600
D = 9.5493°
D/2 = 4.7747°
l1 = 671 – (670 + 64.01) = 35.99
?1/l1 = ?/L
?1 = (35.99)(45)/471.24
?1 = 3.4368°
l2 = 35.25
?2/l2 = ?/L
?2 = (35.25)(45)/471.24
?2 = 3.3661°
For curve 1:
For curve 2 (R = 450 ft), using Equation 15.20
D = 5729.6/R
D = 5729.6 / 450
D = 12.732°
D/2 = 6.3662°
l1 = 676 – (675+35.25) = 64.75
?1/l1 = ?/L
?1 = (70.87)(30)/235.62
?1 = 8.2442
?1/2 = 4.1221º
l2 = 70.87
?2/l2 = ?/L
?2 = (70.87)(30)/235.62
?2 = 9.0234º
For curve 2:
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