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Length of Summit Curve Less than Sight Distance Formula

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Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave. Check FAQs

L s = (2 \cdot S) - \frac{{(\sqrt{2 \cdot h 1} + \sqrt{2 \cdot h 2})}^{2}}{N}

L_s - Length of Curve?S - Sight Distance?h₁ - Driver Sight Height?h₂ - The Height of The Obstruction?N - Deviation Angle?

Length of Summit Curve Less than Sight Distance Example

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Here is how the Length of Summit Curve Less than Sight Distance equation looks like with Values.

Here is how the Length of Summit Curve Less than Sight Distance equation looks like with Units.

Here is how the Length of Summit Curve Less than Sight Distance equation looks like.

94.7208 = (2 \cdot 186.3277) - \frac{{(\sqrt{2 \cdot 32.5} + \sqrt{2 \cdot 55})}^{2}}{70.9388}

94.7208m = (2 \cdot 186.3277m) - \frac{{(\sqrt{2 \cdot 32.5m} + \sqrt{2 \cdot 55m})}^{2}}{70.9388°}

94.7208 = (2 \cdot 186.3277) - \frac{{(\sqrt{2 \cdot 32.5} + \sqrt{2 \cdot 55})}^{2}}{70.9388}

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Length of Summit Curve Less than Sight Distance Solution

Follow our step by step solution on how to calculate Length of Summit Curve Less than Sight Distance?

FIRST Step Consider the formula

L s = (2 \cdot S) - \frac{{(\sqrt{2 \cdot h 1} + \sqrt{2 \cdot h 2})}^{2}}{N}

Next Step Substitute values of Variables

∴

L s = (2 \cdot 186.3277m) - \frac{{(\sqrt{2 \cdot 32.5m} + \sqrt{2 \cdot 55m})}^{2}}{70.9388°}

Next Step Convert Units

∴

L s = (2 \cdot 186.3277m) - \frac{{(\sqrt{2 \cdot 32.5m} + \sqrt{2 \cdot 55m})}^{2}}{1.2381rad}

Next Step Prepare to Evaluate

∴

L s = (2 \cdot 186.3277) - \frac{{(\sqrt{2 \cdot 32.5} + \sqrt{2 \cdot 55})}^{2}}{1.2381}

Next Step Evaluate

∴

L s = 94.7207773302897m

LAST Step Rounding Answer

∴

L s = 94.7208m

Length of Summit Curve Less than Sight Distance Formula Elements

Variables

Functions

Length of Curve

Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave.

Symbol: L_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Curve

Sight Distance

Sight Distance is s the minimum distance between two vehicles moving along a curve, when the driver of one vehicle can just see the other vehicle on the road.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Sight Distance

Driver Sight Height

Driver Sight Height refers to the vertical distance between the driver's eye level and the road surface while seated in a vehicle.

Symbol: h₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Driver Sight Height

The Height of The Obstruction

The Height of The Obstruction refers to its vertical dimension, blocking a line of sight or path, often in transportation, construction or safety.

Symbol: h₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find The Height of The Obstruction

Deviation Angle

Deviation Angle is the angle between the reference direction and the observed direction.

Symbol: N

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Deviation Angle

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Length of Summit Curve Less than Sight Distance category

Go Deviation Angle given Length of Summit Curve Less than Sight Distance

N = \frac{{(\sqrt{2 \cdot h 1} + \sqrt{2 \cdot h 2})}^{2}}{2 \cdot S - L s}

Go Sight Distance More than Length of Summit Curve

S = (\frac{L s}{2}) + \frac{{(\sqrt{2 \cdot h 1} + \sqrt{2 \cdot h 2})}^{2}}{2 \cdot N}

How to Evaluate Length of Summit Curve Less than Sight Distance?

Length of Summit Curve Less than Sight Distance evaluator uses Length of Curve = (2*Sight Distance)-((sqrt(2*Driver Sight Height)+sqrt(2*The Height of The Obstruction))^2)/Deviation Angle to evaluate the Length of Curve, The Length of Summit Curve Less than Sight Distance formula is defined as twice the sight distance minus the square of the sum of the square roots of two times the driver's eye height and two times the obstruction height, all divided by the deviation angle. Length of Curve is denoted by L_s symbol.

How to evaluate Length of Summit Curve Less than Sight Distance using this online evaluator? To use this online evaluator for Length of Summit Curve Less than Sight Distance, enter Sight Distance (S), Driver Sight Height (h₁), The Height of The Obstruction (h₂) & Deviation Angle (N) and hit the calculate button.

FAQs on Length of Summit Curve Less than Sight Distance

What is the formula to find Length of Summit Curve Less than Sight Distance?

The formula of Length of Summit Curve Less than Sight Distance is expressed as Length of Curve = (2*Sight Distance)-((sqrt(2*Driver Sight Height)+sqrt(2*The Height of The Obstruction))^2)/Deviation Angle. Here is an example- 94.72078 = (2*186.3277)-((sqrt(2*32.5)+sqrt(2*55))^2)/1.2381161510123.

How to calculate Length of Summit Curve Less than Sight Distance?

With Sight Distance (S), Driver Sight Height (h₁), The Height of The Obstruction (h₂) & Deviation Angle (N) we can find Length of Summit Curve Less than Sight Distance using the formula - Length of Curve = (2*Sight Distance)-((sqrt(2*Driver Sight Height)+sqrt(2*The Height of The Obstruction))^2)/Deviation Angle. This formula also uses Square Root (sqrt) function(s).

Can the Length of Summit Curve Less than Sight Distance be negative?

No, the Length of Summit Curve Less than Sight Distance, measured in Length cannot be negative.

Which unit is used to measure Length of Summit Curve Less than Sight Distance?

Length of Summit Curve Less than Sight Distance is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Summit Curve Less than Sight Distance can be measured.

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Length of Summit Curve Less than Sight Distance Formula

Length of Summit Curve Less than Sight Distance Example

Length of Summit Curve Less than Sight Distance Solution

Length of Summit Curve Less than Sight Distance Formula Elements

Other formulas in Length of Summit Curve Less than Sight Distance category

How to Evaluate Length of Summit Curve Less than Sight Distance?

FAQs on Length of Summit Curve Less than Sight Distance

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