Stadia Distance from Instrument Spindle to Rod Calculator

✖Intercept on rod between two sighting wires.ⓘ Intercept on Rod [R]			+10% -10%
✖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%
✖Rod Intercept gives the reading from the rod.ⓘ Rod Intercept [R_i]			+10% -10%
✖Stadia Constant is an integer ratio between the difference of the rod readings and the distance from the telescope to the rod.ⓘ Stadia Constant [C]			+10% -10%

✖Stadia distance from instrument spindle to rod.ⓘ Stadia Distance from Instrument Spindle to Rod [D_s]

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Stadia Distance from Instrument Spindle to Rod

Formula

`"D"_{"s"} = "R"*(("f"/"R"_{"i"})+"C")`

Example

`"63.75m"="6m"*(("2m"/"3.2m")+"10m")`

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Stadia Distance from Instrument Spindle to Rod Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stadia Distance = Intercept on Rod*((Focal Length of Telescope/Rod Intercept)+Stadia Constant)
D_s = R*((f/R_i)+C)
This formula uses 5 Variables

Variables Used

Stadia Distance - (Measured in Meter) - Stadia distance from instrument spindle to rod.
Intercept on Rod - (Measured in Meter) - Intercept on rod between two sighting wires.
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.
Rod Intercept - (Measured in Meter) - Rod Intercept gives the reading from the rod.
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.

STEP 1: Convert Input(s) to Base Unit

Intercept on Rod: 6 Meter --> 6 Meter No Conversion Required
Focal Length of Telescope: 2 Meter --> 2 Meter No Conversion Required
Rod Intercept: 3.2 Meter --> 3.2 Meter No Conversion Required
Stadia Constant: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_s = R*((f/R_i)+C) --> 6*((2/3.2)+10)

Evaluating ... ...

D_s = 63.75

STEP 3: Convert Result to Output's Unit

63.75 Meter --> No Conversion Required

FINAL ANSWER

63.75 Meter <-- Stadia Distance

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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

Stadia Distance from Instrument Spindle to Rod Formula

Stadia Distance = Intercept on Rod*((Focal Length of Telescope/Rod Intercept)+Stadia Constant)
D_s = R*((f/R_i)+C)

What is Stadia Distance?

The horizontal distance from the vertical axis of the instrument to the staff.It can be calculated with the help of focal length , rod intercept , and by value of stadia constant.

What is Tacheometry?

Tacheometry is a branch of surveying in which the horizontal and vertical distances are determined by angular observations with a tacheometer, the chaining operation being altogether eliminated Tacheometry is not as accurate as is changing, but it is far more rapid in rough and difficult country where levelling is tedious and chaining is both inaccurate and slow.

How to Calculate Stadia Distance from Instrument Spindle to Rod?

Stadia Distance from Instrument Spindle to Rod calculator uses Stadia Distance = Intercept on Rod*((Focal Length of Telescope/Rod Intercept)+Stadia Constant) to calculate the Stadia Distance, The Stadia Distance from Instrument Spindle to Rod formula is defined as the distance measured from an axis of the instrument to the end of the rod. Stadia Distance is denoted by D_s symbol.

How to calculate Stadia Distance from Instrument Spindle to Rod using this online calculator? To use this online calculator for Stadia Distance from Instrument Spindle to Rod, enter Intercept on Rod (R), Focal Length of Telescope (f), Rod Intercept (R_i) & Stadia Constant (C) and hit the calculate button. Here is how the Stadia Distance from Instrument Spindle to Rod calculation can be explained with given input values -> 63.75 = 6*((2/3.2)+10).

FAQ

What is Stadia Distance from Instrument Spindle to Rod?

The Stadia Distance from Instrument Spindle to Rod formula is defined as the distance measured from an axis of the instrument to the end of the rod and is represented as D_s = R*((f/R_i)+C) or Stadia Distance = Intercept on Rod*((Focal Length of Telescope/Rod Intercept)+Stadia Constant). Intercept on rod between two sighting wires, Focal Length of Telescope is measured as the distance from the main optic to the point where the image is formed, Rod Intercept gives the reading from the rod & Stadia Constant is an integer ratio between the difference of the rod readings and the distance from the telescope to the rod.

How to calculate Stadia Distance from Instrument Spindle to Rod?

The Stadia Distance from Instrument Spindle to Rod formula is defined as the distance measured from an axis of the instrument to the end of the rod is calculated using Stadia Distance = Intercept on Rod*((Focal Length of Telescope/Rod Intercept)+Stadia Constant). To calculate Stadia Distance from Instrument Spindle to Rod, you need Intercept on Rod (R), Focal Length of Telescope (f), Rod Intercept (R_i) & Stadia Constant (C). With our tool, you need to enter the respective value for Intercept on Rod, Focal Length of Telescope, Rod Intercept & Stadia Constant 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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