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

✖Stadia Factor is the ratio of the focal distance to the distance between the stadia hairs.ⓘ Stadia Factor [K]			+10% -10%
✖Rod Intercept gives the reading from the rod.ⓘ Rod Intercept [R_i]			+10% -10%
✖Vertical Inclination of Line of Sight measured from the horizontal.ⓘ Vertical Inclination of Line of Sight [a]			+10% -10%
✖Instrument Constant also known as additive constant.ⓘ Instrument Constant [fc]			+10% -10%

✖vertical Distance between center of transit and point on rod intersected by middle horizontal crosshair.ⓘ Vertical Distance between Center of Transit and Rod Intersected by Middle Horizontal Crosshair [V]

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

Formula

`"V" = 1/(2*(("K"*"R"_{"i"}*sin(2*"a"))+("fc"*sin("a"))))`

Example

`"0.016174m"=1/(2*(("11.1"*"3.2m"*sin(2*"30°"))+("0.3048m"*sin("30°"))))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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))))
V = 1/(2*((K*R_i*sin(2*a))+(fc*sin(a))))
This formula uses 1 Functions, 5 Variables

Functions Used

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., sin(Angle)

Variables Used

Vertical Distance - (Measured in Meter) - vertical Distance between center of transit and point on rod intersected by middle horizontal crosshair.
Stadia Factor - Stadia Factor is the ratio of the focal distance to the distance between the stadia hairs.
Rod Intercept - (Measured in Meter) - Rod Intercept gives the reading from the rod.
Vertical Inclination of Line of Sight - (Measured in Radian) - Vertical Inclination of Line of Sight measured from the horizontal.
Instrument Constant - (Measured in Meter) - Instrument Constant also known as additive constant.

STEP 1: Convert Input(s) to Base Unit

Stadia Factor: 11.1 --> No Conversion Required
Rod Intercept: 3.2 Meter --> 3.2 Meter No Conversion Required
Vertical Inclination of Line of Sight: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Instrument Constant: 0.3048 Meter --> 0.3048 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 1/(2*((K*R_i*sin(2*a))+(fc*sin(a)))) --> 1/(2*((11.1*3.2*sin(2*0.5235987755982))+(0.3048*sin(0.5235987755982))))

Evaluating ... ...

V = 0.0161740993812265

STEP 3: Convert Result to Output's Unit

0.0161740993812265 Meter --> No Conversion Required

FINAL ANSWER

0.0161740993812265 ≈ 0.016174 Meter <-- Vertical Distance

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Surveying Formulas » Photogrammetry Stadia and Compass Surveying » Stadia Surveying » Vertical Distance between Center of Transit and Rod Intersected by Middle Horizontal Crosshair

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Birsa Institute of Technology (BIT), Sindri

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< 13 Stadia Surveying Calculators

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

Go 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))))

Horizontal Distance between Center of Transit and Rod

Go Horizontal Distance = (Stadia Factor*Rod Intercept*(cos(Vertical Inclination of Line of Sight))^2)+(Instrument Constant*cos(Vertical Inclination of Line of Sight))

Staff Intercept in Gradienter given Horizontal Distance

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

Horizontal Distance using Gradienter

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

Staff Intercept in Gradienter given Vertical Distance

Go Staff Intercept = Vertical Distance/((100*sin(2*Vertical Angle)*0.5*sin(Vertical Angle)^2)/(Revolution of Screw*Distance in One Turn))

Vertical Distance using Gradienter

Go Vertical Distance = Staff Intercept*(100*sin(2*Vertical Angle)*0.5*sin(Vertical Angle)^2)/(Revolution of Screw*Distance in One Turn)

Distance Equation given Index Error

Go Distance between Two Points = (Multiplying Constant*Staff Intercept/(Revolution of Screw-Index Error))+Additive Constant

Staff Intercept

Go Staff Intercept = Distance between Two Points*(tan(Vertical Angle to Upper Vane)-tan(Vertical Angle to Lower Vane))

Stadia Distance from Instrument Spindle to Rod

Go Stadia Distance = Intercept on Rod*((Focal Length of Telescope/Rod Intercept)+Stadia Constant)

Intercept on Rod between Two Sighting Wires

Go Intercept on Rod = Stadia Distance/((Focal Length of Telescope/Rod Intercept)+Stadia Constant)

Vertical Distance between Instrument Axis and Lower Vane

Go Vertical Distance = Distance between Two Points*tan(Vertical Angle to Lower Vane)

Additive Constant or Stadia Constant

Go Stadia Constant = (Focal Length of Telescope+Distance from Center)

Stadia Interval

Go Stadia Interval = Revolution of Screw*Pitch Screw

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

What is 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.

How to Calculate 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 calculator 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 calculate 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 calculate Vertical Distance between Center of Transit and Rod Intersected by Middle Horizontal Crosshair using this online calculator? To use this online calculator 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. Here is how the Vertical Distance between Center of Transit and Rod Intersected by Middle Horizontal Crosshair calculation can be explained with given input values -> 0.016174 = 1/(2*((11.1*3.2*sin(2*0.5235987755982))+(0.3048*sin(0.5235987755982)))).

FAQ

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

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 and is represented as V = 1/(2*((K*R_i*sin(2*a))+(fc*sin(a)))) or 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)))). Stadia Factor is the ratio of the focal distance to the distance between the stadia hairs, Rod Intercept gives the reading from the rod, Vertical Inclination of Line of Sight measured from the horizontal & Instrument Constant also known as additive constant.

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

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 is calculated using 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 calculate Vertical Distance between Center of Transit and Rod Intersected by Middle Horizontal Crosshair, you need Stadia Factor (K), Rod Intercept (R_i), Vertical Inclination of Line of Sight (a) & Instrument Constant (fc). With our tool, you need to enter the respective value for Stadia Factor, Rod Intercept, Vertical Inclination of Line of Sight & Instrument Constant and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Vertical Distance?

In this formula, Vertical Distance uses Stadia Factor, Rod Intercept, Vertical Inclination of Line of Sight & Instrument Constant. We can use 2 other way(s) to calculate the same, which is/are as follows -

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)

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