Offsets from the tangents method of curve setting can be adopted if _____________. 

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  1. the deflection angle is large and the radius of curvature is small
  2. both the deflection angle and the radius of curvature are small
  3. both the deflection angle and the radius of curvature are large
  4. the deflection angle is small and the radius of curvature is large

Answer (Detailed Solution Below)

Option 2 : both the deflection angle and the radius of curvature are small
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Detailed Solution

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Offsets from tangents method is the linear method used for setting out simple circular curves on the roadway:

The offsets from tangents are calculated and set to get the required curve. The offsets can be either radial or perpendicular to tangents.

This method is adopted when both the deflection angle and radius of curvature are small

Radial Offsets:  If the centre of the curve is accessible from the points on the tangent then this method of curve setting is used.

The radial offsets, Ox  is given as:

The above expression is exact. However, an approximate value is given as

Perpendicular Offsets: If the centre of a circle is not visible, perpendicular offsets from tangent can be set to locate the points on the curve.

The perpendicular offsets, Ox  is given as:

The above expression is exact. However, an approximate value is given as

OE = Ox

OD = R

OE = R - Ox

Radial Offset

⊥ offset = Ox

DE ⊥ T1D

OE = R

DE = OX

T1D = EE1

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