Question

A horizontal curve is being designed around a pond with a tangent length of 1200 ft and a central angle of 29.86 degrees. If the PI is at station 145 00, determine the station of PT.

Answer 1

The correct answer is "1287.02 ft"

Explanation:

Given that:

T = 1200 ft

PI = 145+00

`\Theta` = 29.86°

or,

= 0.5211 rad

As we know,

The radius of curve is:

⇒
`T = R \ tan(\Theta)/(2)`

`1200=R \ tan((0.5211)/(2) )`

`1200=R \ tan(0.267)`

`R = 4494.38 \ ft`

The length of curve will be:

⇒
`L=R \Theta`

`=449.38* 0.5211`

`=2342.01 \ ft`

hence,

Station PT will be:

=
`PI-T+L`

=
`145-1200+2341.01`

=
`1287.02 \ ft`