UDL given Tension at any Point of Simple Cable with UDL Calculator

✖Tension at Supports is the tension due to loading on supports.ⓘ Tension at Supports [T_s]			+10% -10%
✖Midspan Tension is the total tension acting in cable at midpoint.ⓘ Midspan Tension [T_m]			+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 any Point of Simple Cable with UDL [q]

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UDL given Tension at any Point of Simple Cable with UDL Solution

STEP 0: Pre-Calculation Summary

Formula Used

Uniformly Distributed Load = sqrt(((Tension at Supports^2)-(Midspan Tension^2))/(Cable Span^2))
q = sqrt(((T_s^2)-(T_m^2))/(L_span^2))
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.
Midspan Tension - (Measured in Newton) - Midspan Tension 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)
Midspan Tension: 4 Kilonewton --> 4000 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_m^2))/(L_span^2)) --> sqrt(((210000^2)-(4000^2))/(15^2))

Evaluating ... ...

q = 13997.4600870618

STEP 3: Convert Result to Output's Unit

13997.4600870618 Newton per Meter -->13.9974600870618 Kilonewton per Meter (Check conversion here)

FINAL ANSWER

13.9974600870618 ≈ 13.99746 Kilonewton per Meter <-- Uniformly Distributed Load

(Calculation completed in 00.007 seconds)

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< Catenary Calculators

Catenary Length given Tension at any Point of Simple Cable with UDL

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

UDL given Tension at any Point of Simple Cable with UDL

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

Horizontal Component given Tension at any Point of Simple Cable with UDL

LaTeX Go Horizontal Tension = sqrt((Cable Tension^2)-((Total Load per Unit Length*Catenary Length)^2))

Tension at any Point given Catenary Length of Simple Cable with UDL

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

UDL given Tension at any Point of Simple Cable with UDL Formula

LaTeX Go

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

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 any Point of Simple Cable with UDL?

UDL given Tension at any Point of Simple Cable with UDL calculator uses Uniformly Distributed Load = sqrt(((Tension at Supports^2)-(Midspan Tension^2))/(Cable Span^2)) to calculate the Uniformly Distributed Load, The UDL given Tension at any Point of Simple Cable with UDL 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 any Point of Simple Cable with UDL using this online calculator? To use this online calculator for UDL given Tension at any Point of Simple Cable with UDL, enter Tension at Supports (T_s), Midspan Tension (T_m) & Cable Span (L_span) and hit the calculate button. Here is how the UDL given Tension at any Point of Simple Cable with UDL calculation can be explained with given input values -> 0.013997 = sqrt(((210000^2)-(4000^2))/(15^2)).

FAQ

What is UDL given Tension at any Point of Simple Cable with UDL?

The UDL given Tension at any Point of Simple Cable with UDL 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_m^2))/(L_span^2)) or Uniformly Distributed Load = sqrt(((Tension at Supports^2)-(Midspan Tension^2))/(Cable Span^2)). Tension at Supports is the tension due to loading on supports, Midspan Tension 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 any Point of Simple Cable with UDL?

The UDL given Tension at any Point of Simple Cable with UDL 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)-(Midspan Tension^2))/(Cable Span^2)). To calculate UDL given Tension at any Point of Simple Cable with UDL, you need Tension at Supports (T_s), Midspan Tension (T_m) & Cable Span (L_span). With our tool, you need to enter the respective value for Tension at Supports, Midspan Tension & 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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