CURVE Definition AND FORMULAS
first of all you have some data for solutionLike you have deflection angle ,change intersection point ( I.P)
Degree of curve if YOU HAVE THAT DATA YOU CAN SOLVE THE CURVE OK LETS START
If you have no Deflection angle you can find on this formula
Deflection angle = 0 = 180 - Intersection angle
WE HAVE :
- GIVEN DATA :
chainage intersection point =I.P=17634.25
Degree of curve = D = 50
- Required Data
Tangent point two =TP2 =?

- SOLOUTION
SO:
First we will find Tangent length
Formula we have
Tangent Length =T.L= R Tan 0/2
we have no “R”
Formula for finding “Radius” 5730/D
D= Degree of curve we have 50 5730/5 =1146
“1146” put this value in tangent length formula Tangent length = 1146 tan 40/2 =417.72
Now we have Tangent length “417.72”
- Put this value in this formula
= 17634.25 – 417.72 =17217.13
Tangent point one(TP1) = 17217.13 ft
Now for “TP2”
- Formula we have
First we find curve length
Formula we have
Curve Length = 3.14 R 0/180
3.14*1146/180 =800.16
Put this value in this ”800.16” formula
Tangent point = TP1 + Curve Length
=17217.13+800.16 = 18017.29 ft
- Now we can find curve ordinate
For middle ordinate
For 1st ordinate we have formula
R = Radius of curve
X = R .D
L = Length of curve
I hope after reading this post , now you will completely understood the curve formula explanation . However if you any questions or suggestion then you can use the below commenting box .
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