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In which are the following circular curve.
Simple
Compound
Reverse
All of these
All of these
A circular curve is an arc of a circle having a constant radius that provides a gradual change in direction between two intersecting straight lines (tangents) ┬╖ Simple curves, compound curves, and reverse curves are all classifications of circular curves based on the number and arrangement of their circular arcs.
A circular curve is an arc of a circle having a constant radius that provides a gradual change in direction between two intersecting straight lines (tangents) ┬╖ Simple curves, compound curves, and reverse curves are all classifications of circular curves based on the number and arrangement of their circular arcs.
R=D1718.9тАЛ тАФ relationship between radius (R in meters) and degree of curve (D) using a 30m arc
T=Rtan(2╬ФтАЛ) тАФ tangent length of a simple circular curve, where ╬Ф is the deflection angle
Circular curves function by providing a smooth horizontal alignment transition for vehicles moving along straight tangent lines ┬╖ Depending on terrain and site constraints, engineers utilize a single circular arc (simple), multiple arcs bending in the same direction (compound), or arcs bending in opposite directions (reverse) to safely direct traffic.
Simple Curve: Consists of a single circular arc of uniform radius connecting two straight tangents.
Compound Curve: Consists of two or more circular arcs of different radii bending in the SAME direction with a common tangent at the junction point.
Reverse Curve: Consists of two circular arcs of equal or unequal radii bending in OPPOSITE directions with centers on opposite sides of a common tangent.
Simple curves are the easiest to design, survey, and construct on field.
Compound curves adapt well to steep or restrictive topography where a single radius cannot fit the terrain.
Reverse curves are useful for connecting parallel or near-parallel alignments in railway yards and mountain roads.
Reverse curves can be hazardous at high speeds due to sudden shifts in superelevation and centrifugal force.
Compound curves require complex layout computations and careful superelevation transition handling.
Simple curves are widely used in standard road and railway alignments.
Compound curves are applied in mountainous terrains, highway interchanges, and city street design.
Reverse curves are used in crossover railway tracks, hill road alignments, and low-speed country roads.
Transition curves (non-circular curves) like spiral or parabolic curves are usually introduced at the ends of circular curves to gradually introduce centrifugal acceleration.
Option A (Simple), Option B (Compound), and Option C (Reverse) are all sub-classifications of horizontal circular curves; hence, Option D is the correct choice.
D is correct тАФ Simple, compound, and reverse curves are all types of horizontal circular curves used in surveying and route alignment design.
In competitive exams like GATE and SSC JE, remember that reverse curves are generally prohibited on high-speed highways due to safety concerns regarding sudden superelevation reversal.