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Sight Distance given Length of Summit Curve Formula

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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. Check FAQs

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

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

Sight Distance given Length of Summit Curve Example

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

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

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

5.8474 = \sqrt{\frac{2 \cdot 7 \cdot {(\sqrt{0.75} + \sqrt{0.36})}^{2}}{0.88}}

5.8474m = \sqrt{\frac{2 \cdot 7m \cdot {(\sqrt{0.75m} + \sqrt{0.36m})}^{2}}{0.88rad}}

5.8474 = \sqrt{\frac{2 \cdot 7 \cdot {(\sqrt{0.75} + \sqrt{0.36})}^{2}}{0.88}}

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Sight Distance given Length of Summit Curve Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = \sqrt{\frac{2 \cdot 7m \cdot {(\sqrt{0.75m} + \sqrt{0.36m})}^{2}}{0.88rad}}

Next Step Prepare to Evaluate

∴

S = \sqrt{\frac{2 \cdot 7 \cdot {(\sqrt{0.75} + \sqrt{0.36})}^{2}}{0.88}}

Next Step Evaluate

∴

S = 5.84741850419118m

LAST Step Rounding Answer

∴

S = 5.8474m

Sight Distance given Length of Summit Curve Formula Elements

Variables

Functions

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

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

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: rad

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 greater than Sight Distance category

Go Radius of Curve given Length of Curve and Deviation Angle

R = \frac{L s}{N}

Go Length of Summit Curve given Deviation Angle and Sight Distance

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

Go Deviation Angle given Length of Curve and Radius of Curve

N = \frac{L s}{R}

Go Deviation Angle given Length of Summit Curve

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

How to Evaluate Sight Distance given Length of Summit Curve?

Sight Distance given Length of Summit Curve evaluator uses Sight Distance = sqrt((2*Length of Curve*(sqrt(Driver Sight Height)+sqrt(The Height of The Obstruction))^2)/Deviation Angle) to evaluate the Sight Distance, The Sight Distance given Length of Summit Curve formula is defined as the square root of 2 times the product of the curve length and the square of the sum of driver's eye height and obstruction height, divided by the deviation angle. Sight Distance is denoted by S symbol.

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

FAQs on Sight Distance given Length of Summit Curve

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

The formula of Sight Distance given Length of Summit Curve is expressed as Sight Distance = sqrt((2*Length of Curve*(sqrt(Driver Sight Height)+sqrt(The Height of The Obstruction))^2)/Deviation Angle). Here is an example- 9.503288 = sqrt((2*7*(sqrt(0.75)+sqrt(0.36))^2)/0.88).

How to calculate Sight Distance given Length of Summit Curve?

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

Can the Sight Distance given Length of Summit Curve be negative?

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

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

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

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Sight Distance given Length of Summit Curve Formula

Sight Distance given Length of Summit Curve Example

Sight Distance given Length of Summit Curve Solution

Sight Distance given Length of Summit Curve Formula Elements

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

How to Evaluate Sight Distance given Length of Summit Curve?

FAQs on Sight Distance given Length of Summit Curve

Variable Name