Parabolic Equation for Cable Slope Calculator

✖Uniformly distributed Load (UDL) is a load that is distributed or spread across the whole region of an element whose magnitude of the load remains uniform throughout the whole element.ⓘ Uniformly Distributed Load [q]			+10% -10%
✖Distance from Midpoint of Cable is horizontal distance where vertical length is to be calculated.ⓘ Distance from Midpoint of Cable [x]			+10% -10%
✖Midspan Tension is the total tension acting in cable at midpoint.ⓘ Midspan Tension [T_m]			+10% -10%

✖Y Co-ordinate of Cable Slope is a general form representation of simple loaded cable.ⓘ Parabolic Equation for Cable Slope [Y]

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Formula

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Parabolic Equation for Cable Slope

Formula

`"Y" = "q"*("x"^2)/(2*"T"_{"m"})`

Example

`"61.25"="10.0kN/m"*(("7m")^2)/(2*"4kN")`

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Download Parabolic Cable Tension and Length Formulas PDF

Parabolic Equation for Cable Slope Solution

STEP 0: Pre-Calculation Summary

Formula Used

Y Co-ordinate = Uniformly Distributed Load*(Distance from Midpoint of Cable^2)/(2*Midspan Tension)
Y = q*(x^2)/(2*T_m)
This formula uses 4 Variables

Variables Used

Y Co-ordinate - Y Co-ordinate of Cable Slope is a general form representation of simple loaded cable.
Uniformly Distributed Load - (Measured in Newton per Meter) - Uniformly distributed Load (UDL) is a load that is distributed or spread across the whole region of an element whose magnitude of the load remains uniform throughout the whole element.
Distance from Midpoint of Cable - (Measured in Meter) - Distance from Midpoint of Cable is horizontal distance where vertical length is to be calculated.
Midspan Tension - (Measured in Newton) - Midspan Tension is the total tension acting in cable at midpoint.

STEP 1: Convert Input(s) to Base Unit

Uniformly Distributed Load: 10 Kilonewton per Meter --> 10000 Newton per Meter (Check conversion here)
Distance from Midpoint of Cable: 7 Meter --> 7 Meter No Conversion Required
Midspan Tension: 4 Kilonewton --> 4000 Newton (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Y = q*(x^2)/(2*T_m) --> 10000*(7^2)/(2*4000)

Evaluating ... ...

Y = 61.25

STEP 3: Convert Result to Output's Unit

61.25 --> No Conversion Required

FINAL ANSWER

61.25 <-- Y Co-ordinate

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< 12 Parabolic Cable Tension and Length Calculators

Tension at Midspan given Tension at Supports for UDL on Parabolic Cable

Go Tension at Midspan = sqrt((Tension at Supports^2)-(((Uniformly Distributed Load*Cable Span)/2)^2))

UDL given Tension at Supports for UDL on Parabolic Cable

Go Uniformly Distributed Load = (sqrt((Tension at Supports^2)-(Tension at Midspan^2))*2)/Cable Span

Tension at Supports for UDL on Parabolic Cable

Go Tension at Supports = sqrt((Tension at Midspan^2)+(Uniformly Distributed Load*Cable Span/2)^2)

Span of Cable for Length of Cable for UDL on Parabolic Cable

Go Length of Cable Span = 1.5*Length of Cable-sqrt((2.25*Length of Cable^2)-8*(Maximum Sag^2))

Span of Cable given Tension at Supports for UDL on Parabolic Cable

Go Length of Cable Span = (sqrt((Tension at Supports^2)-(Midspan Tension^2))*2)/Total UDL

Span of Cable given Tension at Midspan for UDL on Parabolic Cable

Go Cable Span = sqrt(8*Tension at Midspan*Maximum Sag/Uniformly Distributed Load)

Parabolic Equation for Cable Slope

Go Y Co-ordinate = Uniformly Distributed Load*(Distance from Midpoint of Cable^2)/(2*Midspan Tension)

Maximum Sag given Length of Cable for UDL on Parabolic Cable

Go Maximum Sag = sqrt((Cable Length-Cable Span)*(3/8)*Cable Span)

Tension at Midspan for UDL on Parabolic Cable

Go Tension at Midspan = (Uniformly Distributed Load*(Cable Span^2))/(8*Maximum Sag)

Maximum Sag given Tension at Midspan for UDL on Parabolic Cable

Go Maximum Sag = Uniformly Distributed Load*(Cable Span^2)/(8*Tension at Midspan)

Length of Cable for UDL on Parabolic Cable

Go Cable Length = Cable Span+(8*(Maximum Sag^2)/(3*Cable Span))

Allowable Stress for Compression Elements for Highway Bridges

Go Allowable Stress = 0.44*Yield Strength of Steel

Parabolic Equation for Cable Slope Formula

Y Co-ordinate = Uniformly Distributed Load*(Distance from Midpoint of Cable^2)/(2*Midspan Tension)
Y = q*(x^2)/(2*T_m)

What is Cable?

A cable is a thick wire, or a group of wires inside a rubber or plastic covering, which is used to carry electricity or electronic signals. Cable is used to refer to television systems in which the signals are sent along underground wires rather than by radio waves.

How to Calculate Parabolic Equation for Cable Slope?

Parabolic Equation for Cable Slope calculator uses Y Co-ordinate = Uniformly Distributed Load*(Distance from Midpoint of Cable^2)/(2*Midspan Tension) to calculate the Y Co-ordinate, The Parabolic Equation for Cable Slope formula is defined as a general equation representing the curve of loading. Y Co-ordinate is denoted by Y symbol.

How to calculate Parabolic Equation for Cable Slope using this online calculator? To use this online calculator for Parabolic Equation for Cable Slope, enter Uniformly Distributed Load (q), Distance from Midpoint of Cable (x) & Midspan Tension (T_m) and hit the calculate button. Here is how the Parabolic Equation for Cable Slope calculation can be explained with given input values -> 61.25 = 10000*(7^2)/(2*4000).

FAQ

What is Parabolic Equation for Cable Slope?

The Parabolic Equation for Cable Slope formula is defined as a general equation representing the curve of loading and is represented as Y = q*(x^2)/(2*T_m) or Y Co-ordinate = Uniformly Distributed Load*(Distance from Midpoint of Cable^2)/(2*Midspan Tension). Uniformly distributed Load (UDL) is a load that is distributed or spread across the whole region of an element whose magnitude of the load remains uniform throughout the whole element, Distance from Midpoint of Cable is horizontal distance where vertical length is to be calculated & Midspan Tension is the total tension acting in cable at midpoint.

How to calculate Parabolic Equation for Cable Slope?

The Parabolic Equation for Cable Slope formula is defined as a general equation representing the curve of loading is calculated using Y Co-ordinate = Uniformly Distributed Load*(Distance from Midpoint of Cable^2)/(2*Midspan Tension). To calculate Parabolic Equation for Cable Slope, you need Uniformly Distributed Load (q), Distance from Midpoint of Cable (x) & Midspan Tension (T_m). With our tool, you need to enter the respective value for Uniformly Distributed Load, Distance from Midpoint of Cable & Midspan Tension 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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