Mid Ordinate Calculator

✖Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.ⓘ Curve Radius [R_Curve]			+10% -10%
✖Deflection Angle is the angle between the first sub chord of curve and the deflected line with equal measurement of first sub chord from tangent point.ⓘ Deflection Angle [Δ]			+10% -10%

✖Mid Ordinate is the distance from midpoint of curve to midpoint of chord.ⓘ Mid Ordinate [L_mo]

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Mid Ordinate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mid Ordinate = Curve Radius*(1-cos(Deflection Angle/2))
L_mo = R_Curve*(1-cos(Δ/2))
This formula uses 1 Functions, 3 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

Mid Ordinate - (Measured in Meter) - Mid Ordinate is the distance from midpoint of curve to midpoint of chord.
Curve Radius - (Measured in Meter) - Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.
Deflection Angle - (Measured in Radian) - Deflection Angle is the angle between the first sub chord of curve and the deflected line with equal measurement of first sub chord from tangent point.

STEP 1: Convert Input(s) to Base Unit

Curve Radius: 200 Meter --> 200 Meter No Conversion Required
Deflection Angle: 65 Degree --> 1.1344640137961 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_mo = R_Curve*(1-cos(Δ/2)) --> 200*(1-cos(1.1344640137961/2))

Evaluating ... ...

L_mo = 31.3217108374114

STEP 3: Convert Result to Output's Unit

31.3217108374114 Meter --> No Conversion Required

FINAL ANSWER

31.3217108374114 ≈ 31.32171 Meter <-- Mid Ordinate

(Calculation completed in 00.020 seconds)

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Credits

Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

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< Simple Circular Curve Calculators

Length of Curve if 30m Chord Definition

LaTeX Go Length of Curve = 30*Deflection Angle/Angle for Arc*(180/pi)

Deflection Angle given Length of Curve

LaTeX Go Deflection Angle = Length of Curve/Curve Radius

Radius of Curve given Length

LaTeX Go Curve Radius = Length of Curve/Deflection Angle

Length of Curve

LaTeX Go Length of Curve = Curve Radius*Deflection Angle

Mid Ordinate Formula

LaTeX Go

Mid Ordinate = Curve Radius*(1-cos(Deflection Angle/2))
L_mo = R_Curve*(1-cos(Δ/2))

What are the Various Parts of a Curve?

(i) Tangents: The straight lines at the ends of curve or lines connected by the curves. The tangent drawn to the first point of curve is the first tangent and similarly the second tangent.
(ii) Vertex: The points of intersection of the two straights is called the intersection point or the vertex.
(iii)Long chord: Line joining both the tangents.
(iv) Mid point: It is the summit or apex of the curve.
(v) Apex distance: The distance from the point of intersection to the apex of the curve.
(vi)Central angle: The angle subtended at the centre of the curve by the arc.

How to Calculate Mid Ordinate?

Mid Ordinate calculator uses Mid Ordinate = Curve Radius*(1-cos(Deflection Angle/2)) to calculate the Mid Ordinate, The Mid Ordinate formula is defined as the distance from the midpoint of a curve to the midpoint of a chord. It is found by drawing the long chord and finding the distance from its midpoint to the apex of the curve. Mid Ordinate is denoted by L_mo symbol.

How to calculate Mid Ordinate using this online calculator? To use this online calculator for Mid Ordinate, enter Curve Radius (R_Curve) & Deflection Angle (Δ) and hit the calculate button. Here is how the Mid Ordinate calculation can be explained with given input values -> 31.32171 = 200*(1-cos(1.1344640137961/2)).

FAQ

What is Mid Ordinate?

The Mid Ordinate formula is defined as the distance from the midpoint of a curve to the midpoint of a chord. It is found by drawing the long chord and finding the distance from its midpoint to the apex of the curve and is represented as L_mo = R_Curve*(1-cos(Δ/2)) or Mid Ordinate = Curve Radius*(1-cos(Deflection Angle/2)). Curve Radius is the radius of a circle whose part, say, arc is taken for consideration & Deflection Angle is the angle between the first sub chord of curve and the deflected line with equal measurement of first sub chord from tangent point.

How to calculate Mid Ordinate?

The Mid Ordinate formula is defined as the distance from the midpoint of a curve to the midpoint of a chord. It is found by drawing the long chord and finding the distance from its midpoint to the apex of the curve is calculated using Mid Ordinate = Curve Radius*(1-cos(Deflection Angle/2)). To calculate Mid Ordinate, you need Curve Radius (R_Curve) & Deflection Angle (Δ). With our tool, you need to enter the respective value for Curve Radius & Deflection Angle 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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