Maximum Sag given Tension at Midspan for UDL on Parabolic Cable 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%
✖Tension at midspan is the total tension acting in cable at midpoint.ⓘ Tension at Midspan [T_mid]			+10% -10%

✖Maximum Sag is the maximum catenary or the greatest amount of sag that can be allowed in the cable system.ⓘ Maximum Sag given Tension at Midspan for UDL on Parabolic Cable [d]

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Maximum Sag given Tension at Midspan for UDL on Parabolic Cable Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Sag = Uniformly Distributed Load*(Cable Span^2)/(8*Tension at Midspan)
d = q*(L_span^2)/(8*T_mid)
This formula uses 4 Variables

Variables Used

Maximum Sag - (Measured in Meter) - Maximum Sag is the maximum catenary or the greatest amount of sag that can be allowed in the cable system.
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.
Tension at Midspan - (Measured in Newton) - Tension at midspan is the total tension acting in cable at midpoint.

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
Tension at Midspan: 196 Kilonewton --> 196000 Newton (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = q*(L_span^2)/(8*T_mid) --> 10000*(15^2)/(8*196000)

Evaluating ... ...

d = 1.43494897959184

STEP 3: Convert Result to Output's Unit

1.43494897959184 Meter --> No Conversion Required

FINAL ANSWER

1.43494897959184 ≈ 1.434949 Meter <-- Maximum Sag

(Calculation completed in 00.020 seconds)

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< Parabolic Cable Tension and Length Calculators

Tension at Midspan given Tension at Supports for UDL on Parabolic Cable

LaTeX 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

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

Tension at Supports for UDL on Parabolic Cable

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

Maximum Sag given Tension at Midspan for UDL on Parabolic Cable

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

Maximum Sag given Tension at Midspan for UDL on Parabolic Cable Formula

LaTeX Go

Maximum Sag = Uniformly Distributed Load*(Cable Span^2)/(8*Tension at Midspan)
d = q*(L_span^2)/(8*T_mid)

What is Sag?

The vertical distance between the straight line joining the points of consecutive supports and the lowest point of the conductor is called sag. The tighter the wire, the smaller is the sag and vice-versa.

How to Calculate Maximum Sag given Tension at Midspan for UDL on Parabolic Cable?

Maximum Sag given Tension at Midspan for UDL on Parabolic Cable calculator uses Maximum Sag = Uniformly Distributed Load*(Cable Span^2)/(8*Tension at Midspan) to calculate the Maximum Sag, The Maximum Sag given Tension at Midspan for UDL on Parabolic Cable formula is defined as the total vertical deflection of cable at midpoint due to UDL. Maximum Sag is denoted by d symbol.

How to calculate Maximum Sag given Tension at Midspan for UDL on Parabolic Cable using this online calculator? To use this online calculator for Maximum Sag given Tension at Midspan for UDL on Parabolic Cable, enter Uniformly Distributed Load (q), Cable Span (L_span) & Tension at Midspan (T_mid) and hit the calculate button. Here is how the Maximum Sag given Tension at Midspan for UDL on Parabolic Cable calculation can be explained with given input values -> 1.434949 = 10000*(15^2)/(8*196000).

FAQ

What is Maximum Sag given Tension at Midspan for UDL on Parabolic Cable?

The Maximum Sag given Tension at Midspan for UDL on Parabolic Cable formula is defined as the total vertical deflection of cable at midpoint due to UDL and is represented as d = q*(L_span^2)/(8*T_mid) or Maximum Sag = Uniformly Distributed Load*(Cable Span^2)/(8*Tension at Midspan). 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 & Tension at midspan is the total tension acting in cable at midpoint.

How to calculate Maximum Sag given Tension at Midspan for UDL on Parabolic Cable?

The Maximum Sag given Tension at Midspan for UDL on Parabolic Cable formula is defined as the total vertical deflection of cable at midpoint due to UDL is calculated using Maximum Sag = Uniformly Distributed Load*(Cable Span^2)/(8*Tension at Midspan). To calculate Maximum Sag given Tension at Midspan for UDL on Parabolic Cable, you need Uniformly Distributed Load (q), Cable Span (L_span) & Tension at Midspan (T_mid). With our tool, you need to enter the respective value for Uniformly Distributed Load, Cable Span & Tension at Midspan 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 Maximum Sag?

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

Maximum Sag = sqrt((Cable Length-Cable Span)*(3/8)*Cable Span)

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