The elevation and station of the high point,
Answer to Problem 1P
The elevation of
Explanation of Solution
Given:
The distance of vertical curve is
The vertical curve intersects at station
The initial grade is
The final grade is
Formula used:
The formula to calculate the distance when the curve is an equal-tangent vertical curve is given by
Here,
The formula to calculate the station of the initial point of vertical curve is given by
Here,
The formula to calculate the station of the final point of vertical curve is given by
Here,
The formula to calculate the elevation of the
Here,
The formula to calculate the distance when the curve is an equal-tangent vertical curve is given by
Here,
The formula to calculate the elevation of the
Here,
The equation of the vertical curve is given by
Here,
Differentiate equation (V) with respect to
The relation between
The formula to calculate the coefficient
The formula to calculate the station of the high point from the
Calculation:
Substitute
The above calculation represents that the point
The point
Substitute
Divide the length of above calculation in
Hence, the stationing of
Substitute
Divide the length of above calculation in
Hence, the stationing of
The number of stations between
Substitute
Substitute
The number of stations between
Substitute
The
Substitute
Substitute
Substitute
Substitute
Substitute
Conclusion:
Thus, the elevation of
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Principles of Highway Engineering and Traffic Analysi (NEW!!)
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