Tension at Midspan given 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%
✖Parabolic Equation of Cable Slope is general form representation of simple loaded cable.ⓘ Parabolic Equation of Cable Slope [y]			+10% -10%

✖Tension at midspan is the total tension acting in cable at midpoint.ⓘ Tension at Midspan given Parabolic Equation for Cable Slope [T_mid]

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Tension at Midspan given Parabolic Equation for Cable Slope Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tension at Midspan = (Uniformly Distributed Load*Distance from Midpoint of Cable^2)/(2*Parabolic Equation of Cable Slope)
T_mid = (q*x^2)/(2*y)
This formula uses 4 Variables

Variables Used

Tension at Midspan - (Measured in Newton) - Tension at midspan is the total tension acting in cable at midpoint.
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.
Parabolic Equation of Cable Slope - Parabolic Equation of Cable Slope is general form representation of simple loaded cable.

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
Parabolic Equation of Cable Slope: 1.25 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_mid = (q*x^2)/(2*y) --> (10000*7^2)/(2*1.25)

Evaluating ... ...

T_mid = 196000

STEP 3: Convert Result to Output's Unit

196000 Newton -->196 Kilonewton (Check conversion here)

FINAL ANSWER

196 Kilonewton <-- Tension at Midspan

(Calculation completed in 00.004 seconds)

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Tension at Midspan given Parabolic Equation for Cable Slope

LaTeX Go Tension at Midspan = (Uniformly Distributed Load*Distance from Midpoint of Cable^2)/(2*Parabolic Equation of Cable Slope)

UDL given Parabolic Equation for Cable Slope

LaTeX Go Uniformly Distributed Load = (Parabolic Equation of Cable Slope*2*Tension at Midspan)/(Distance from Midpoint of Cable)^2

UDL given Tension at Midspan for UDL on Parabolic Cable

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

Tension at Midspan given Parabolic Equation for Cable Slope Formula

LaTeX Go

Tension at Midspan = (Uniformly Distributed Load*Distance from Midpoint of Cable^2)/(2*Parabolic Equation of Cable Slope)
T_mid = (q*x^2)/(2*y)

What is Parabolic cable?

Parabolic cable is a cable carrying a horizontally distributed load, then cable form a parabola or is called parabolic cable. Example: The cable carrying a bridge is a parabolic cable

How to Calculate Tension at Midspan given Parabolic Equation for Cable Slope?

Tension at Midspan given Parabolic Equation for Cable Slope calculator uses Tension at Midspan = (Uniformly Distributed Load*Distance from Midpoint of Cable^2)/(2*Parabolic Equation of Cable Slope) to calculate the Tension at Midspan, The Tension at Midspan given Parabolic Equation for Cable Slope formula is defined as the maximum horizontal tension occurring in the cable due to uniform load at the midpoint of the cable. Tension at Midspan is denoted by T_mid symbol.

How to calculate Tension at Midspan given Parabolic Equation for Cable Slope using this online calculator? To use this online calculator for Tension at Midspan given Parabolic Equation for Cable Slope, enter Uniformly Distributed Load (q), Distance from Midpoint of Cable (x) & Parabolic Equation of Cable Slope (y) and hit the calculate button. Here is how the Tension at Midspan given Parabolic Equation for Cable Slope calculation can be explained with given input values -> 0.196 = (10000*7^2)/(2*1.25).

FAQ

What is Tension at Midspan given Parabolic Equation for Cable Slope?

The Tension at Midspan given Parabolic Equation for Cable Slope formula is defined as the maximum horizontal tension occurring in the cable due to uniform load at the midpoint of the cable and is represented as T_mid = (q*x^2)/(2*y) or Tension at Midspan = (Uniformly Distributed Load*Distance from Midpoint of Cable^2)/(2*Parabolic Equation of Cable Slope). 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 & Parabolic Equation of Cable Slope is general form representation of simple loaded cable.

How to calculate Tension at Midspan given Parabolic Equation for Cable Slope?

The Tension at Midspan given Parabolic Equation for Cable Slope formula is defined as the maximum horizontal tension occurring in the cable due to uniform load at the midpoint of the cable is calculated using Tension at Midspan = (Uniformly Distributed Load*Distance from Midpoint of Cable^2)/(2*Parabolic Equation of Cable Slope). To calculate Tension at Midspan given Parabolic Equation for Cable Slope, you need Uniformly Distributed Load (q), Distance from Midpoint of Cable (x) & Parabolic Equation of Cable Slope (y). With our tool, you need to enter the respective value for Uniformly Distributed Load, Distance from Midpoint of Cable & Parabolic Equation of Cable Slope 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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