UDL given Tension at Supports for UDL on Parabolic Cable Calculator

✖Tension at Supports is the tension due to loading on supports.ⓘ Tension at Supports [T_s]			+10% -10%
✖Tension at midspan is the total tension acting in cable at midpoint.ⓘ Tension at Midspan [T_mid]			+10% -10%
✖Cable Span is total length of cable in horizontal direction.ⓘ Cable Span [L_span]			+10% -10%

✖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.ⓘ UDL given Tension at Supports for UDL on Parabolic Cable [q]

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Formula

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UDL given Tension at Supports for UDL on Parabolic Cable

Formula

`"q" = (sqrt(("T"_{"s"}^2)-("T"_{"mid"}^2))*2)/"L"_{"span"}`

Example

`"10.05231kN/m"=(sqrt((("210kN")^2)-(("196kN")^2))*2)/"15m"`

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UDL given Tension at Supports for UDL on Parabolic Cable Solution

STEP 0: Pre-Calculation Summary

Formula Used

Uniformly Distributed Load = (sqrt((Tension at Supports^2)-(Tension at Midspan^2))*2)/Cable Span
q = (sqrt((T_s^2)-(T_mid^2))*2)/L_span
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
Tension at Supports - (Measured in Newton) - Tension at Supports is the tension due to loading on supports.
Tension at Midspan - (Measured in Newton) - Tension at midspan is the total tension acting in cable at midpoint.
Cable Span - (Measured in Meter) - Cable Span is total length of cable in horizontal direction.

STEP 1: Convert Input(s) to Base Unit

Tension at Supports: 210 Kilonewton --> 210000 Newton (Check conversion here)
Tension at Midspan: 196 Kilonewton --> 196000 Newton (Check conversion here)
Cable Span: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = (sqrt((T_s^2)-(T_mid^2))*2)/L_span --> (sqrt((210000^2)-(196000^2))*2)/15

Evaluating ... ...

q = 10052.3076399844

STEP 3: Convert Result to Output's Unit

10052.3076399844 Newton per Meter -->10.0523076399844 Kilonewton per Meter (Check conversion here)

FINAL ANSWER

10.0523076399844 ≈ 10.05231 Kilonewton per Meter <-- Uniformly Distributed Load

(Calculation completed in 00.020 seconds)

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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

UDL given Tension at Supports for UDL on Parabolic Cable Formula

Uniformly Distributed Load = (sqrt((Tension at Supports^2)-(Tension at Midspan^2))*2)/Cable Span
q = (sqrt((T_s^2)-(T_mid^2))*2)/L_span

What is Uniformly Distributed Load (UDL)?

A uniformly distributed load (UDL) is a load that is distributed or spread across the whole region of an element such as a beam or slab. In other words, the magnitude of the load remains uniform throughout the whole element.

How to Calculate UDL given Tension at Supports for UDL on Parabolic Cable?

UDL given Tension at Supports for UDL on Parabolic Cable calculator uses Uniformly Distributed Load = (sqrt((Tension at Supports^2)-(Tension at Midspan^2))*2)/Cable Span to calculate the Uniformly Distributed Load, The UDL given Tension at Supports for UDL on Parabolic Cable formula is defined as total load acting on the cable per meter span length of cable. Uniformly Distributed Load is denoted by q symbol.

How to calculate UDL given Tension at Supports for UDL on Parabolic Cable using this online calculator? To use this online calculator for UDL given Tension at Supports for UDL on Parabolic Cable, enter Tension at Supports (T_s), Tension at Midspan (T_mid) & Cable Span (L_span) and hit the calculate button. Here is how the UDL given Tension at Supports for UDL on Parabolic Cable calculation can be explained with given input values -> 0.010052 = (sqrt((210000^2)-(196000^2))*2)/15.

FAQ

What is UDL given Tension at Supports for UDL on Parabolic Cable?

The UDL given Tension at Supports for UDL on Parabolic Cable formula is defined as total load acting on the cable per meter span length of cable and is represented as q = (sqrt((T_s^2)-(T_mid^2))*2)/L_span or Uniformly Distributed Load = (sqrt((Tension at Supports^2)-(Tension at Midspan^2))*2)/Cable Span. Tension at Supports is the tension due to loading on supports, Tension at midspan is the total tension acting in cable at midpoint & Cable Span is total length of cable in horizontal direction.

How to calculate UDL given Tension at Supports for UDL on Parabolic Cable?

The UDL given Tension at Supports for UDL on Parabolic Cable formula is defined as total load acting on the cable per meter span length of cable is calculated using Uniformly Distributed Load = (sqrt((Tension at Supports^2)-(Tension at Midspan^2))*2)/Cable Span. To calculate UDL given Tension at Supports for UDL on Parabolic Cable, you need Tension at Supports (T_s), Tension at Midspan (T_mid) & Cable Span (L_span). With our tool, you need to enter the respective value for Tension at Supports, Tension at Midspan & Cable Span 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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