Horizontal Distance between Center of Transit and Rod 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%

✖Horizontal distance between center of transit and rod.ⓘ Horizontal Distance between Center of Transit and Rod [H_Horizontal]

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Formula

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Horizontal Distance between Center of Transit and Rod

Formula

`"H"_{"Horizontal"} = ("K"*"R"_{"i"}*(cos("a"))^2)+("fc"*cos("a"))`

Example

`"26.90396m"=("11.1"*"3.2m"*(cos("30°"))^2)+("0.3048m"*cos("30°"))`

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Horizontal Distance between Center of Transit and Rod Solution

STEP 0: Pre-Calculation Summary

Formula Used

Horizontal Distance = (Stadia Factor*Rod Intercept*(cos(Vertical Inclination of Line of Sight))^2)+(Instrument Constant*cos(Vertical Inclination of Line of Sight))
H_Horizontal = (K*R_i*(cos(a))^2)+(fc*cos(a))
This formula uses 1 Functions, 5 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Horizontal Distance - (Measured in Meter) - Horizontal distance between center of transit and rod.
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

H_Horizontal = (K*R_i*(cos(a))^2)+(fc*cos(a)) --> (11.1*3.2*(cos(0.5235987755982))^2)+(0.3048*cos(0.5235987755982))

Evaluating ... ...

H_Horizontal = 26.9039645430735

STEP 3: Convert Result to Output's Unit

26.9039645430735 Meter --> No Conversion Required

FINAL ANSWER

26.9039645430735 ≈ 26.90396 Meter <-- Horizontal Distance

(Calculation completed in 00.004 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

Horizontal Distance between Center of Transit and Rod Formula

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.

What is Gradienter?

It is mainly used in setting out gradients, but is also used in tacheometry. When the tangent screw actuating the vertical circle of a theodolite is provided with a micrometer head and a scale for counting the whole turns by which it has been turned, it is called gradienter. The pitch of the screw is kept such that when moved by one revolution, the line of sight moves by tan–1 0.01.

How to Calculate Horizontal Distance between Center of Transit and Rod?

Horizontal Distance between Center of Transit and Rod calculator uses Horizontal Distance = (Stadia Factor*Rod Intercept*(cos(Vertical Inclination of Line of Sight))^2)+(Instrument Constant*cos(Vertical Inclination of Line of Sight)) to calculate the Horizontal Distance, The Horizontal Distance between Center of Transit and Rod formula is defined as the total horizontal distance. Horizontal Distance is denoted by H_Horizontal symbol.

How to calculate Horizontal Distance between Center of Transit and Rod using this online calculator? To use this online calculator for Horizontal Distance between Center of Transit and Rod, 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 Horizontal Distance between Center of Transit and Rod calculation can be explained with given input values -> 26.90396 = (11.1*3.2*(cos(0.5235987755982))^2)+(0.3048*cos(0.5235987755982)).

FAQ

What is Horizontal Distance between Center of Transit and Rod?

The Horizontal Distance between Center of Transit and Rod formula is defined as the total horizontal distance and is represented as H_Horizontal = (K*R_i*(cos(a))^2)+(fc*cos(a)) or Horizontal Distance = (Stadia Factor*Rod Intercept*(cos(Vertical Inclination of Line of Sight))^2)+(Instrument Constant*cos(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 Horizontal Distance between Center of Transit and Rod?

The Horizontal Distance between Center of Transit and Rod formula is defined as the total horizontal distance is calculated using Horizontal Distance = (Stadia Factor*Rod Intercept*(cos(Vertical Inclination of Line of Sight))^2)+(Instrument Constant*cos(Vertical Inclination of Line of Sight)). To calculate Horizontal Distance between Center of Transit and Rod, 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.

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