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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