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Surveying - Engineering

Q1:

If Δ is the angle of deflection of the curve, T1 and T2 are its points of tangencies, the angle between the tangent at T1 and long chord T1 T2 will be

A

B

C

D Δ

E 2 Δ.

ANS:C -

Chord length = 2 R sin(δ/2).
Tangent length = R tan (δ/2). Δ= Angle deflection of the curve.
T1 & T2 = points Of Tangecies.

Length of the long chod-
=T1/T2= 2R Sin Δ /2.

(Right Answer = Δ/2). δ= Angle deflection of the curve.
T1 & T2 = points Of Tangecies.

Length of the long chod-
=T1/T2= 2R Sin δ/2.

(Right Answer = δ/2). Length of the long chord:-

T1T2 = 2R SinΔ/2.