Intercept on Rod between Two Sighting Wires Solution

STEP 0: Pre-Calculation Summary
Formula Used
Intercept on Rod = Stadia Distance/((Focal Length of Telescope/Rod Intercept)+Stadia Constant)
R = Ds/((f/Ri)+C)
This formula uses 5 Variables
Variables Used
Intercept on Rod - (Measured in Meter) - Intercept on rod between two sighting wires.
Stadia Distance - (Measured in Meter) - Stadia distance from instrument spindle to 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.
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
Stadia Distance: 64 Meter --> 64 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
R = Ds/((f/Ri)+C) --> 64/((2/3.2)+10)
Evaluating ... ...
R = 6.02352941176471
STEP 3: Convert Result to Output's Unit
6.02352941176471 Meter --> No Conversion Required
FINAL ANSWER
6.02352941176471 6.023529 Meter <-- Intercept on Rod
(Calculation completed in 00.020 seconds)

Credits

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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

Intercept on Rod between Two Sighting Wires Formula

Intercept on Rod = Stadia Distance/((Focal Length of Telescope/Rod Intercept)+Stadia Constant)
R = Ds/((f/Ri)+C)

What is Stadia Rod?

An ordinary levelling staff can be used if the sights are short but in tacheometry since the sights are usually of much greater length, therefore, an ordinary levelling staff cannot serve the purpose. But a specially designed graduated rod known as stadia rod is used.

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 Intercept on Rod between Two Sighting Wires?

Intercept on Rod between Two Sighting Wires calculator uses Intercept on Rod = Stadia Distance/((Focal Length of Telescope/Rod Intercept)+Stadia Constant) to calculate the Intercept on Rod, The Intercept on Rod between Two Sighting Wires formula is defined as the reading which we get from the tacheometer on the stadia rod. Intercept on Rod is denoted by R symbol.

How to calculate Intercept on Rod between Two Sighting Wires using this online calculator? To use this online calculator for Intercept on Rod between Two Sighting Wires, enter Stadia Distance (Ds), Focal Length of Telescope (f), Rod Intercept (Ri) & Stadia Constant (C) and hit the calculate button. Here is how the Intercept on Rod between Two Sighting Wires calculation can be explained with given input values -> 6.023529 = 64/((2/3.2)+10).

FAQ

What is Intercept on Rod between Two Sighting Wires?
The Intercept on Rod between Two Sighting Wires formula is defined as the reading which we get from the tacheometer on the stadia rod and is represented as R = Ds/((f/Ri)+C) or Intercept on Rod = Stadia Distance/((Focal Length of Telescope/Rod Intercept)+Stadia Constant). Stadia distance from instrument spindle to rod, 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 Intercept on Rod between Two Sighting Wires?
The Intercept on Rod between Two Sighting Wires formula is defined as the reading which we get from the tacheometer on the stadia rod is calculated using Intercept on Rod = Stadia Distance/((Focal Length of Telescope/Rod Intercept)+Stadia Constant). To calculate Intercept on Rod between Two Sighting Wires, you need Stadia Distance (Ds), Focal Length of Telescope (f), Rod Intercept (Ri) & Stadia Constant (C). With our tool, you need to enter the respective value for Stadia Distance, 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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