In our day to day life,we see that whenever a roadway(or railway) is laid on a curve or curved path,then both the edges are not the same level, In such a case, the outer,the outer edge is always higher than the inner one.This is done to keep the vehicle in equilibrium while going on the curved path.
we Know that the body,moving along a curved path,is subjected to the following forces:
1. Its own weight,and
2. Centrifugal force.
EFFECT OF SUPERELEVATION IN ROADWAY
To counterbalance this effect and maintain equilibrium of the vehicle,the surface of the path is made perpendicular to the resultant by keeping the inner edge level and raising the *outer edge of the roadway or (outer rail of the railway). The amount by which the outer edge of rail is raised is known as cant or superelevation.
In case of roadways, the outer edge is raised with respect to the inner edge of the road surface.The amount,by which the outer edge is raised is known as cant or superelevation. The process of providing superelevation is known as banking of the road.The general practice,to define the superelevation,is to mention the angle of inclination of the road surface.
Let
m=Mass of the body in tonnes,
r=Radius of circular path in m,
v=velocity of the body in m/s,and
θ=Angle of the bank.
we have seen in the pervious articles,that whenever a body is moving along circumference of a circle,it is subjected to the following forces:
1. Its own weight =mg
2. Centrifugal force=m(v*v)/r
tanθ=centrifugal force/weight of the vehicle=(m(v*v)/r)/mg
=(v*v)/gr
we Know that the body,moving along a curved path,is subjected to the following forces:
1. Its own weight,and
2. Centrifugal force.
EFFECT OF SUPERELEVATION IN ROADWAY
To counterbalance this effect and maintain equilibrium of the vehicle,the surface of the path is made perpendicular to the resultant by keeping the inner edge level and raising the *outer edge of the roadway or (outer rail of the railway). The amount by which the outer edge of rail is raised is known as cant or superelevation.
In case of roadways, the outer edge is raised with respect to the inner edge of the road surface.The amount,by which the outer edge is raised is known as cant or superelevation. The process of providing superelevation is known as banking of the road.The general practice,to define the superelevation,is to mention the angle of inclination of the road surface.
Let
m=Mass of the body in tonnes,
r=Radius of circular path in m,
v=velocity of the body in m/s,and
θ=Angle of the bank.
we have seen in the pervious articles,that whenever a body is moving along circumference of a circle,it is subjected to the following forces:
1. Its own weight =mg
2. Centrifugal force=m(v*v)/r
tanθ=centrifugal force/weight of the vehicle=(m(v*v)/r)/mg
=(v*v)/gr
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