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%
✖Sag of Cable at Midway between Supports is vertical sag at midpoint of cable.ⓘ Sag of Cable at Midway between Supports [f]			+10% -10%

✖Cable Tension for UDL is the total tension in cable for uniformly distributed load on cable.ⓘ Horizontal Component of Cable Tension for UDL [T_{cable udl}]

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Formula

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Horizontal Component of Cable Tension for UDL

Formula

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

Example

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

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Horizontal Component of Cable Tension for UDL Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Cable Tension for UDL - (Measured in Newton) - Cable Tension for UDL is the total tension in cable for uniformly distributed load on 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.
Sag of Cable at Midway between Supports - (Measured in Meter) - Sag of Cable at Midway between Supports is vertical sag at midpoint of 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
Sag of Cable at Midway between Supports: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_{cable udl} = q*(L_span^2)/(8*f) --> 10000*(15^2)/(8*5)

Evaluating ... ...

T_{cable udl} = 56250

STEP 3: Convert Result to Output's Unit

56250 Newton -->56.25 Kilonewton (Check conversion here)

FINAL ANSWER

56.25 Kilonewton <-- Cable Tension for UDL

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Bridge and Suspension Cable » Suspension Cables » General Relation for Suspension Cables » Supports at Same Level » 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

Horizontal Component of Cable Tension for UDL Formula

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

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 Horizontal Component of Cable Tension for UDL?

Horizontal Component of Cable Tension for UDL calculator uses Cable Tension for UDL = Uniformly Distributed Load*(Cable Span^2)/(8*Sag of Cable at Midway between Supports) to calculate the Cable Tension for UDL, The Horizontal Component of Cable Tension for UDL formula is defined as the maximum horizontal tension occurring in the cable due to uniform load at the midpoint of the cable. Cable Tension for UDL is denoted by T_{cable udl} symbol.

How to calculate Horizontal Component of Cable Tension for UDL using this online calculator? To use this online calculator for Horizontal Component of Cable Tension for UDL, enter Uniformly Distributed Load (q), Cable Span (L_span) & Sag of Cable at Midway between Supports (f) and hit the calculate button. Here is how the Horizontal Component of Cable Tension for UDL calculation can be explained with given input values -> 0.05625 = 10000*(15^2)/(8*5).

FAQ

What is Horizontal Component of Cable Tension for UDL?

The Horizontal Component of Cable Tension for UDL 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_{cable udl} = q*(L_span^2)/(8*f) or Cable Tension for UDL = Uniformly Distributed Load*(Cable Span^2)/(8*Sag of Cable at Midway between Supports). 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 & Sag of Cable at Midway between Supports is vertical sag at midpoint of cable.

How to calculate Horizontal Component of Cable Tension for UDL?

The Horizontal Component of Cable Tension for UDL 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 Cable Tension for UDL = Uniformly Distributed Load*(Cable Span^2)/(8*Sag of Cable at Midway between Supports). To calculate Horizontal Component of Cable Tension for UDL, you need Uniformly Distributed Load (q), Cable Span (L_span) & Sag of Cable at Midway between Supports (f). With our tool, you need to enter the respective value for Uniformly Distributed Load, Cable Span & Sag of Cable at Midway between Supports 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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