Additive Constant or Stadia Constant Calculator

✖Focal Length of Telescope is measured as the distance from the main optic to the point where the image is formed.ⓘ Focal Length of Telescope [f]			+10% -10%
✖Distance from Center of spindle to center of objective lens.ⓘ Distance from Center [D_c]			+10% -10%

✖Stadia Constant is an integer ratio between the difference of the rod readings and the distance from the telescope to the rod.ⓘ Additive Constant or Stadia Constant [C]

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Formula

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Additive Constant or Stadia Constant

Formula

`"C" = ("f"+"D"_{"c"})`

Example

`"10m"=("2m"+"8m")`

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Download Photogrammetry Stadia and Compass Surveying Formulas PDF PDF Image

Additive Constant or Stadia Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stadia Constant = (Focal Length of Telescope+Distance from Center)
C = (f+D_c)
This formula uses 3 Variables

Variables Used

Stadia Constant - (Measured in Meter) - Stadia Constant is an integer ratio between the difference of the rod readings and the distance from the telescope to the rod.
Focal Length of Telescope - (Measured in Meter) - Focal Length of Telescope is measured as the distance from the main optic to the point where the image is formed.
Distance from Center - (Measured in Meter) - Distance from Center of spindle to center of objective lens.

STEP 1: Convert Input(s) to Base Unit

Focal Length of Telescope: 2 Meter --> 2 Meter No Conversion Required
Distance from Center: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = (f+D_c) --> (2+8)

Evaluating ... ...

C = 10

STEP 3: Convert Result to Output's Unit

10 Meter --> No Conversion Required

FINAL ANSWER

10 Meter <-- Stadia Constant

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

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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

Additive Constant or Stadia Constant Formula

Stadia Constant = (Focal Length of Telescope+Distance from Center)
C = (f+D_c)

What is Stadia Surveying?

Stadia Surveying is a method of surveying used to measure distances and heights in the field using a stadia rod and a surveying instrument such as a theodolite or total station.

How is Stadia Surveying different from other Surveying Methods?

Stadia Surveying is different from other surveying methods such as GPS surveying or total station surveying in that it does not require any electronic equipment or signals. It is a manual method that relies on the skill of the operator to obtain accurate measurements.

How to Calculate Additive Constant or Stadia Constant?

Additive Constant or Stadia Constant calculator uses Stadia Constant = (Focal Length of Telescope+Distance from Center) to calculate the Stadia Constant, The Additive Constant or Stadia Constant formula is defined as a fixed, integer ratio between the difference of the rod readings and the distance from the telescope to the rod. Stadia Constant is denoted by C symbol.

How to calculate Additive Constant or Stadia Constant using this online calculator? To use this online calculator for Additive Constant or Stadia Constant, enter Focal Length of Telescope (f) & Distance from Center (D_c) and hit the calculate button. Here is how the Additive Constant or Stadia Constant calculation can be explained with given input values -> 10 = (2+8).

FAQ

What is Additive Constant or Stadia Constant?

The Additive Constant or Stadia Constant formula is defined as a fixed, integer ratio between the difference of the rod readings and the distance from the telescope to the rod and is represented as C = (f+D_c) or Stadia Constant = (Focal Length of Telescope+Distance from Center). Focal Length of Telescope is measured as the distance from the main optic to the point where the image is formed & Distance from Center of spindle to center of objective lens.

How to calculate Additive Constant or Stadia Constant?

The Additive Constant or Stadia Constant formula is defined as a fixed, integer ratio between the difference of the rod readings and the distance from the telescope to the rod is calculated using Stadia Constant = (Focal Length of Telescope+Distance from Center). To calculate Additive Constant or Stadia Constant, you need Focal Length of Telescope (f) & Distance from Center (D_c). With our tool, you need to enter the respective value for Focal Length of Telescope & Distance from Center and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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