FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Length of Summit Curve given Deviation Angle and Sight Distance Formula

GoLength of Curve given Radius of Curve and Deviation Angle Formula

Fx Copy

LaTeX Copy

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

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

Length of Summit Curve given Deviation Angle and Sight Distance Example

With values

With units

Only example

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

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

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

2.5946 = \frac{0.88 \cdot {3.56}^{2}}{2 \cdot {(\sqrt{0.75} + \sqrt{0.36})}^{2}}

2.5946m = \frac{0.88rad \cdot {3.56m}^{2}}{2 \cdot {(\sqrt{0.75m} + \sqrt{0.36m})}^{2}}

2.5946 = \frac{0.88 \cdot {3.56}^{2}}{2 \cdot {(\sqrt{0.75} + \sqrt{0.36})}^{2}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Transportation System » fx Length of Summit Curve given Deviation Angle and Sight Distance

Length of Summit Curve given Deviation Angle and Sight Distance Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L s = \frac{0.88rad \cdot {3.56m}^{2}}{2 \cdot {(\sqrt{0.75m} + \sqrt{0.36m})}^{2}}

Next Step Prepare to Evaluate

∴

L s = \frac{0.88 \cdot {3.56}^{2}}{2 \cdot {(\sqrt{0.75} + \sqrt{0.36})}^{2}}

Next Step Evaluate

∴

L s = 2.59459561927351m

LAST Step Rounding Answer

∴

L s = 2.5946m

Length of Summit Curve given Deviation Angle and 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

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

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

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 to find Length of Curve

Go Length of Curve given Radius of Curve and Deviation Angle

L s = R \cdot N

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

Go Sight Distance given Length of Summit Curve

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

Go Radius of Curve given Length of Curve and Deviation Angle

R = \frac{L s}{N}

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 Length of Summit Curve given Deviation Angle and Sight Distance?

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

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

FAQs on Length of Summit Curve given Deviation Angle and Sight Distance

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

The formula of Length of Summit Curve given Deviation Angle and Sight Distance is expressed as Length of Curve = (Deviation Angle*Sight Distance^2)/(2*(sqrt(Driver Sight Height)+sqrt(The Height of The Obstruction))^2). Here is an example- 0.982314 = (0.88*3.56^2)/(2*(sqrt(0.75)+sqrt(0.36))^2).

How to calculate Length of Summit Curve given Deviation Angle and Sight Distance?

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

What are the other ways to Calculate Length of Curve?

Here are the different ways to Calculate Length of Curve-

Length of Curve=Radius of Curve*Deviation Angle

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

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

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

Length of Summit Curve given Deviation Angle and 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 given Deviation Angle and Sight Distance can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Length of Summit Curve given Deviation Angle and Sight Distance Formula

​GoLength of Curve given Radius of Curve and Deviation Angle Formula

Length of Summit Curve given Deviation Angle and Sight Distance Example

Length of Summit Curve given Deviation Angle and Sight Distance Solution

Length of Summit Curve given Deviation Angle and Sight Distance Formula Elements

Other Formulas to find Length of Curve

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

How to Evaluate Length of Summit Curve given Deviation Angle and Sight Distance?

FAQs on Length of Summit Curve given Deviation Angle and Sight Distance

Variable Name

GoLength of Curve given Radius of Curve and Deviation Angle Formula