CIVIL ENGINEERING FORMULAS

276 CHAPTER ELEVEN

Equations of Circular Curves

(11.1)

(11.2)

(11.3)

MR vers^1  2 IR (1cos^1  2 I) exact (11.4)

ER exsec^1  2 IR (sec^1  2 I1) exact

TR tan^1  2 I exact



50

sin^1  2 D

exact for chord definition

R

5,729.578

D

exact for arc definition, approxi-

mate for chord definition

PI

I

T

PT

C

R

I

I

2

T

PC

E

M

R

I

2

FIGURE 11.1 Circular curve.

a

C

C

b

d d

FIGURE 11.2 Offsets to circular curve.