Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL 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%
✖Cable Span is total length of cable in horizontal direction.ⓘ Cable Span [L_span]			+10% -10%
✖Cable Tension for UDL is the total tension in cable for uniformly distributed load on cable.ⓘ Cable Tension for UDL [T_{cable udl}]			+10% -10%

✖Sag of Cable at Midway between Supports is vertical sag at midpoint of cable.ⓘ Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL [f]

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Formula

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Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL

Formula

`"f" = "q"*("L"_{"span"}^2)/(8*"T"_{"cable udl"})`

Example

`"5m"="10.0kN/m"*(("15m")^2)/(8*"56.25kN")`

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Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sag of Cable at Midway between Supports = Uniformly Distributed Load*(Cable Span^2)/(8*Cable Tension for UDL)
f = q*(L_span^2)/(8*T_{cable udl})
This formula uses 4 Variables

Variables Used

Sag of Cable at Midway between Supports - (Measured in Meter) - Sag of Cable at Midway between Supports is vertical sag at midpoint of 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.
Cable Span - (Measured in Meter) - Cable Span is total length of cable in horizontal direction.
Cable Tension for UDL - (Measured in Newton) - Cable Tension for UDL is the total tension in cable for uniformly distributed load on cable.

STEP 1: Convert Input(s) to Base Unit

Uniformly Distributed Load: 10 Kilonewton per Meter --> 10000 Newton per Meter (Check conversion here)
Cable Span: 15 Meter --> 15 Meter No Conversion Required
Cable Tension for UDL: 56.25 Kilonewton --> 56250 Newton (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = q*(L_span^2)/(8*T_{cable udl}) --> 10000*(15^2)/(8*56250)

Evaluating ... ...

f = 5

STEP 3: Convert Result to Output's Unit

5 Meter --> No Conversion Required

FINAL ANSWER

5 Meter <-- Sag of Cable at Midway between Supports

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Bridge and Suspension Cable » Suspension Cables » General Relation for Suspension Cables » Supports at Same Level » Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL

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< 10+ Supports at Same Level Calculators

Sag of Cable at Midway between supports given Maximum Reactions at Supports

Go Sag of Cable at Midway between Supports = sqrt(((Cable Span^2)/16)/(((2*Maximum Value of Tension)/(Uniformly Distributed Load*Cable Span))^2-1))

UDL given Maximum Reactions at Supports

Go Uniformly Distributed Load = Maximum Value of Tension/((Cable Span/2)*sqrt(1+((Cable Span^2)/(16*Sag of Cable at Midway between Supports^2))))

Maximum Reactions at Supports

Go Maximum Value of Tension = (Uniformly Distributed Load*Cable Span/2)*sqrt(1+((Cable Span^2)/(16*Sag of Cable at Midway between Supports^2)))

Span Length given Horizontal Component of Cable Tension for UDL

Go Cable Span = sqrt((8*Sag of Cable at Midway between Supports*Cable Tension for UDL)/Uniformly Distributed Load)

Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL

Go Sag of Cable at Midway between Supports = Uniformly Distributed Load*(Cable Span^2)/(8*Cable Tension for UDL)

Uniformly distributed Load given Horizontal Component of Cable Tension for UDL

Go Uniformly Distributed Load = (Cable Tension for UDL*8*Sag of Cable at Midway between Supports)/(Cable Span)^2

Horizontal Component of Cable Tension for UDL

Go Cable Tension for UDL = Uniformly Distributed Load*(Cable Span^2)/(8*Sag of Cable at Midway between Supports)

Span Length given Vertical Reaction at Supports

Go Cable Span = Vertical Reaction at Supports*2/Uniformly Distributed Load

UDL given Vertical Reaction at Supports

Go Uniformly Distributed Load = 2*Vertical Reaction at Supports/Cable Span

Vertical Reaction at Supports

Go Vertical Reaction at Supports = Uniformly Distributed Load*Cable Span/2

Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL Formula

Sag of Cable at Midway between Supports = Uniformly Distributed Load*(Cable Span^2)/(8*Cable Tension for UDL)
f = q*(L_span^2)/(8*T_{cable udl})

What is Cables?

Cables can be made up of mild steel and it have high strength. Structural cables are made of a series of small strands twisted or bound together to form a much larger cable. Steels cable are either spiral strands, where circulars rods are twisted together and “Glued” using a polymer.

How to Calculate Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL?

Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL calculator uses Sag of Cable at Midway between Supports = Uniformly Distributed Load*(Cable Span^2)/(8*Cable Tension for UDL) to calculate the Sag of Cable at Midway between Supports, Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL is defined as total deflection due to load acting over cable profile. Sag of Cable at Midway between Supports is denoted by f symbol.

How to calculate Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL using this online calculator? To use this online calculator for Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL, enter Uniformly Distributed Load (q), Cable Span (L_span) & Cable Tension for UDL (T_{cable udl}) and hit the calculate button. Here is how the Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL calculation can be explained with given input values -> 5 = 10000*(15^2)/(8*56250).

FAQ

What is Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL?

Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL is defined as total deflection due to load acting over cable profile and is represented as f = q*(L_span^2)/(8*T_{cable udl}) or Sag of Cable at Midway between Supports = Uniformly Distributed Load*(Cable Span^2)/(8*Cable Tension for UDL). 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, Cable Span is total length of cable in horizontal direction & Cable Tension for UDL is the total tension in cable for uniformly distributed load on cable.

How to calculate Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL?

Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL is defined as total deflection due to load acting over cable profile is calculated using Sag of Cable at Midway between Supports = Uniformly Distributed Load*(Cable Span^2)/(8*Cable Tension for UDL). To calculate Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL, you need Uniformly Distributed Load (q), Cable Span (L_span) & Cable Tension for UDL (T_{cable udl}). With our tool, you need to enter the respective value for Uniformly Distributed Load, Cable Span & Cable Tension for UDL and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Sag of Cable at Midway between Supports?

In this formula, Sag of Cable at Midway between Supports uses Uniformly Distributed Load, Cable Span & Cable Tension for UDL. We can use 1 other way(s) to calculate the same, which is/are as follows -

Sag of Cable at Midway between Supports = sqrt(((Cable Span^2)/16)/(((2*Maximum Value of Tension)/(Uniformly Distributed Load*Cable Span))^2-1))

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