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

GoVertical Distance between Instrument Axis and Lower Vane Formula

GoVertical Distance using Gradienter Formula

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vertical Distance between center of transit and point on rod intersected by middle horizontal crosshair. Check FAQs

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

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

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

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Here is how the Vertical Distance between Center of Transit and Rod Intersected by Middle Horizontal Crosshair equation looks like with Values.

Here is how the Vertical Distance between Center of Transit and Rod Intersected by Middle Horizontal Crosshair equation looks like with Units.

Here is how the Vertical Distance between Center of Transit and Rod Intersected by Middle Horizontal Crosshair equation looks like.

0.0162 = \frac{1}{2 \cdot ((11.1 \cdot 3.2 \cdot \sin (2 \cdot 30)) + (0.3048 \cdot \sin (30)))}

0.0162m = \frac{1}{2 \cdot ((11.1 \cdot 3.2m \cdot \sin (2 \cdot 30°)) + (0.3048m \cdot \sin (30°)))}

0.0162 = \frac{1}{2 \cdot ((11.1 \cdot 3.2 \cdot \sin (2 \cdot 30)) + (0.3048 \cdot \sin (30)))}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{1}{2 \cdot ((11.1 \cdot 3.2m \cdot \sin (2 \cdot 30°)) + (0.3048m \cdot \sin (30°)))}

Next Step Convert Units

∴

V = \frac{1}{2 \cdot ((11.1 \cdot 3.2m \cdot \sin (2 \cdot 0.5236rad)) + (0.3048m \cdot \sin (0.5236rad)))}

Next Step Prepare to Evaluate

∴

V = \frac{1}{2 \cdot ((11.1 \cdot 3.2 \cdot \sin (2 \cdot 0.5236)) + (0.3048 \cdot \sin (0.5236)))}

Next Step Evaluate

∴

V = 0.0161740993812265m

LAST Step Rounding Answer

∴

V = 0.0162m

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

Variables

Functions

Vertical Distance

vertical Distance between center of transit and point on rod intersected by middle horizontal crosshair.

Symbol: V

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Vertical 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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Vertical Distance

Go Vertical Distance between Instrument Axis and Lower Vane

V = D \cdot \tan (θ 2)

Go Vertical Distance using Gradienter

V = s i \cdot \frac{100 \cdot \sin (2 \cdot x) \cdot 0.5 \cdot {\sin (x)}^{2}}{m \cdot c}

Other formulas in Stadia Surveying category

Go Horizontal Distance between Center of Transit and Rod

H Horizontal = (K \cdot R i \cdot {(\cos (a))}^{2}) + (fc \cdot \cos (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 Vertical Distance between Center of Transit and Rod Intersected by Middle Horizontal Crosshair?

Vertical Distance between Center of Transit and Rod Intersected by Middle Horizontal Crosshair evaluator uses Vertical Distance = 1/(2*((Stadia Factor*Rod Intercept*sin(2*Vertical Inclination of Line of Sight))+(Instrument Constant*sin(Vertical Inclination of Line of Sight)))) to evaluate the Vertical Distance, The Vertical Distance between Center of Transit and Rod Intersected by Middle Horizontal Crosshair formula is defined as the elevation of the staff point by the relation, Elevation of the staff point = Elevation of the instrument axis ± V – central wire reading. Vertical Distance is denoted by V symbol.

How to evaluate Vertical Distance between Center of Transit and Rod Intersected by Middle Horizontal Crosshair using this online evaluator? To use this online evaluator for Vertical Distance between Center of Transit and Rod Intersected by Middle Horizontal Crosshair, 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 Vertical Distance between Center of Transit and Rod Intersected by Middle Horizontal Crosshair

What is the formula to find Vertical Distance between Center of Transit and Rod Intersected by Middle Horizontal Crosshair?

The formula of Vertical Distance between Center of Transit and Rod Intersected by Middle Horizontal Crosshair is expressed as Vertical Distance = 1/(2*((Stadia Factor*Rod Intercept*sin(2*Vertical Inclination of Line of Sight))+(Instrument Constant*sin(Vertical Inclination of Line of Sight)))). Here is an example- 0.016174 = 1/(2*((11.1*3.2*sin(2*0.5235987755982))+(0.3048*sin(0.5235987755982)))).

How to calculate Vertical Distance between Center of Transit and Rod Intersected by Middle Horizontal Crosshair?

With Stadia Factor (K), Rod Intercept (R_i), Vertical Inclination of Line of Sight (a) & Instrument Constant (fc) we can find Vertical Distance between Center of Transit and Rod Intersected by Middle Horizontal Crosshair using the formula - Vertical Distance = 1/(2*((Stadia Factor*Rod Intercept*sin(2*Vertical Inclination of Line of Sight))+(Instrument Constant*sin(Vertical Inclination of Line of Sight)))). This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Vertical Distance?

Here are the different ways to Calculate Vertical Distance-

Vertical Distance=Distance between Two Points*tan(Vertical Angle to Lower Vane)
Vertical Distance=Staff Intercept*(100*sin(2*Vertical Angle)*0.5*sin(Vertical Angle)^2)/(Revolution of Screw*Distance in One Turn)

Can the Vertical Distance between Center of Transit and Rod Intersected by Middle Horizontal Crosshair be negative?

No, the Vertical Distance between Center of Transit and Rod Intersected by Middle Horizontal Crosshair, measured in Length cannot be negative.

Which unit is used to measure Vertical Distance between Center of Transit and Rod Intersected by Middle Horizontal Crosshair?

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

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

​GoVertical Distance between Instrument Axis and Lower Vane Formula

​GoVertical Distance using Gradienter Formula

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

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

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

Other Formulas to find Vertical Distance

Other formulas in Stadia Surveying category

How to Evaluate Vertical Distance between Center of Transit and Rod Intersected by Middle Horizontal Crosshair?

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

Variable Name

GoVertical Distance between Instrument Axis and Lower Vane Formula

GoVertical Distance using Gradienter Formula