CECE SURVEYING SIMPLE CURVES

The tangents of a simple curve have bearings of N 75 deg 12' E and S 78 deg 36' E, respectively. What is the central angle of the curve?

• 29° 18'

• 22° 39'

• 27° 51'

• 26° 12'

A 3-degree curve has an angle of intersection of 24°. What is the length of the long chord? Use chord basis.

• 158.85 m

• 183.42 m

• 171.28 m

• 162.46 m

A 3-degree curve has an external distance of 8.53 m. What is the central angle? Use chord basis.

• 22°

• 23°

• 24°

• 25°

A circular curve has the following data:

Azimuth of back tangent = 205°

deg Azimuth of forward tangemt = 262°

Middle ordinate = 5.8m.

Find the length of the tangent

• 25.99 m

• 22.66 m

• 24.88 m

• 23.77 m

The perpendicular distance from a point on a simple curve to a point Q on the tangent at PC is 64 m. If the distance from PC to Q is 260 m, find the radius of the curve

• 583.04 m

• 547.13 m

• 529.68 m

• 560.13 m

The deflection angles of two intermediate points A and B of a simple curve are 3° 15' deg and 8° 15' respectively, from the PC. If the chord distance between A and B m, find the length of the curve from PC to B.

• 59.56 m

• 68.08 m

• 53.29 m

• 74.05 m

A 4-degree curve has an angle of intersection of 24°. What is the length of the long chord? Use chord basis.

• 126.07 m

• 119.12 m

• 130.74 m

• 121.79 m

From point A on a simple curve, the perpendicular distance to the tangent at point Q is 64 m. The tangent passes through the PC. The distance from Q to PC is 260 m. Find the length of the curve from PC to point A.

• 270.38 m

• 260.13 m

• 297.85 m

• 248.97 m

The point PC of a simple curve having a radius of 800 m is at Sta 27+360. Another point X is located on the curve at Sta 27+460. Compute the perpendicular offset from the tangent passing through PC to the given point X.

• 4.62 m

• 4. 4.26 m

• 6.42 m

• 6.24 m

The angle of intersection of the tangents at PC and PT of a simple curve is 20°. If the offset distance from PC to PT is 8 m, what is the radius of the curve?

• 109.06 m

• 120.84 m

• 115.81 m

• 132.65 m