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Horizontal Distance between Center of Transit and Rod Formula

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Horizontal distance between center of transit and rod. Check FAQs

H Horizontal = (K \cdot R i \cdot {(\cos (a))}^{2}) + (fc \cdot \cos (a))

H_Horizontal - Horizontal Distance?K - Stadia Factor?R_i - Rod Intercept?a - Vertical Inclination of Line of Sight?fc - Instrument Constant?

Horizontal Distance between Center of Transit and Rod Example

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Here is how the Horizontal Distance between Center of Transit and Rod equation looks like with Values.

Here is how the Horizontal Distance between Center of Transit and Rod equation looks like with Units.

Here is how the Horizontal Distance between Center of Transit and Rod equation looks like.

26.904 = (11.1 \cdot 3.2 \cdot {(\cos (30))}^{2}) + (0.3048 \cdot \cos (30))

26.904m = (11.1 \cdot 3.2m \cdot {(\cos (30°))}^{2}) + (0.3048m \cdot \cos (30°))

26.904 = (11.1 \cdot 3.2 \cdot {(\cos (30))}^{2}) + (0.3048 \cdot \cos (30))

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Horizontal Distance between Center of Transit and Rod Solution

Follow our step by step solution on how to calculate Horizontal Distance between Center of Transit and Rod?

FIRST Step Consider the formula

H Horizontal = (K \cdot R i \cdot {(\cos (a))}^{2}) + (fc \cdot \cos (a))

Next Step Substitute values of Variables

∴

H Horizontal = (11.1 \cdot 3.2m \cdot {(\cos (30°))}^{2}) + (0.3048m \cdot \cos (30°))

Next Step Convert Units

∴

H Horizontal = (11.1 \cdot 3.2m \cdot {(\cos (0.5236rad))}^{2}) + (0.3048m \cdot \cos (0.5236rad))

Next Step Prepare to Evaluate

∴

H Horizontal = (11.1 \cdot 3.2 \cdot {(\cos (0.5236))}^{2}) + (0.3048 \cdot \cos (0.5236))

Next Step Evaluate

∴

H Horizontal = 26.9039645430735m

LAST Step Rounding Answer

∴

H Horizontal = 26.904m

Horizontal Distance between Center of Transit and Rod Formula Elements

Variables

Functions

Horizontal Distance

Horizontal distance between center of transit and rod.

Symbol: H_Horizontal

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Horizontal Distance

Stadia Factor

Stadia Factor is the ratio of the focal distance to the distance between the stadia hairs.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Stadia Factor

Rod Intercept

Rod Intercept gives the reading from the rod.

Symbol: R_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Rod Intercept

Vertical Inclination of Line of Sight

Vertical Inclination of Line of Sight measured from the horizontal.

Symbol: a

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Vertical Inclination of Line of Sight

Instrument Constant

Instrument Constant also known as additive constant.

Symbol: fc

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Instrument Constant

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Stadia Surveying category

Go Vertical Distance between Center of Transit and Rod Intersected by Middle Horizontal Crosshair

V = \frac{1}{2 \cdot ((K \cdot R i \cdot \sin (2 \cdot a)) + (fc \cdot \sin (a)))}

Go Additive Constant or Stadia Constant

C = (f + D c)

Go Stadia Distance from Instrument Spindle to Rod

D s = R \cdot ((\frac{f}{R i}) + C)

Go Intercept on Rod between Two Sighting Wires

R = \frac{D s}{(\frac{f}{R i}) + C}

How to Evaluate Horizontal Distance between Center of Transit and Rod?

Horizontal Distance between Center of Transit and Rod evaluator uses Horizontal Distance = (Stadia Factor*Rod Intercept*(cos(Vertical Inclination of Line of Sight))^2)+(Instrument Constant*cos(Vertical Inclination of Line of Sight)) to evaluate the Horizontal Distance, The Horizontal Distance between Center of Transit and Rod formula is defined as the total horizontal distance. Horizontal Distance is denoted by H_Horizontal symbol.

How to evaluate Horizontal Distance between Center of Transit and Rod using this online evaluator? To use this online evaluator for Horizontal Distance between Center of Transit and Rod, enter Stadia Factor (K), Rod Intercept (R_i), Vertical Inclination of Line of Sight (a) & Instrument Constant (fc) and hit the calculate button.

FAQs on Horizontal Distance between Center of Transit and Rod

What is the formula to find Horizontal Distance between Center of Transit and Rod?

The formula of Horizontal Distance between Center of Transit and Rod is expressed as Horizontal Distance = (Stadia Factor*Rod Intercept*(cos(Vertical Inclination of Line of Sight))^2)+(Instrument Constant*cos(Vertical Inclination of Line of Sight)). Here is an example- 26.90396 = (11.1*3.2*(cos(0.5235987755982))^2)+(0.3048*cos(0.5235987755982)).

How to calculate Horizontal Distance between Center of Transit and Rod?

With Stadia Factor (K), Rod Intercept (R_i), Vertical Inclination of Line of Sight (a) & Instrument Constant (fc) we can find Horizontal Distance between Center of Transit and Rod using the formula - Horizontal Distance = (Stadia Factor*Rod Intercept*(cos(Vertical Inclination of Line of Sight))^2)+(Instrument Constant*cos(Vertical Inclination of Line of Sight)). This formula also uses Cosine (cos) function(s).

Can the Horizontal Distance between Center of Transit and Rod be negative?

No, the Horizontal Distance between Center of Transit and Rod, measured in Length cannot be negative.

Which unit is used to measure Horizontal Distance between Center of Transit and Rod?

Horizontal Distance between Center of Transit and Rod is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Horizontal Distance between Center of Transit and Rod can be measured.

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Horizontal Distance between Center of Transit and Rod Formula

Horizontal Distance between Center of Transit and Rod Example

Horizontal Distance between Center of Transit and Rod Solution

Horizontal Distance between Center of Transit and Rod Formula Elements

Other formulas in Stadia Surveying category

How to Evaluate Horizontal Distance between Center of Transit and Rod?

FAQs on Horizontal Distance between Center of Transit and Rod

Variable Name