FUNDAMENTAL SURVEYING Horizontal and Vertical Curves

Question 1

According to the arc definition, the degree of curve (Da) is the central angle subtended by an arc of what length?

Accepted Answer

100 feet

Answer

25 feet

Answer

50 feet

Answer

200 feet

Question 2

Which formula correctly expresses the tangent length (T) of a simple circular horizontal curve?

Accepted Answer

T = R × tan(Δ/2)

Answer

T = R × sin(Δ/2)

Answer

T = R × cos(Δ/2)

Answer

T = R / sin(Δ/2)

Question 3

The external distance (E) of a horizontal curve is the distance from:

Accepted Answer

The PI to the midpoint of the arc

Answer

The PC to the PT measured along the arc

Answer

The PC to the midpoint of the long chord

Answer

The center of the circle to the PI minus R

Question 4

For a horizontal curve with R = 500 ft and intersection angle Δ = 60°, what is the arc length?

Accepted Answer

523.6 feet

Answer

261.8 feet

Answer

600.0 feet

Answer

314.2 feet

Question 5

The Point of Curvature (PC) in a horizontal curve alignment is defined as:

Accepted Answer

The point where the straight tangent ends and the circular curve begins

Answer

The point where two tangents intersect

Answer

The point where the circular curve returns to the tangent

Answer

The center point of the circular curve

Question 6

A compound curve is best described as:

Accepted Answer

Two or more curves of different radii all curving in the same direction

Answer

Two curves of equal radius turning in opposite directions

Answer

A curve with a continuously changing radius throughout

Answer

A circular curve combined with a straight tangent section

Question 7

The middle ordinate (M) of a horizontal curve is the distance measured from:

Accepted Answer

The midpoint of the long chord to the midpoint of the arc

Answer

The PI to the PC along the tangent

Answer

The PC to the PT along the tangent

Answer

The center of the circle to the midpoint of the chord