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

✖Cable Span is total length of cable in horizontal direction.ⓘ Cable Span [L_span]			+10% -10%
✖Maximum Value of Tension that occurs at the supports is a sum of both horizontal and vertical force.ⓘ Maximum Value of Tension [T_max]			+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.ⓘ Uniformly Distributed Load [q]			+10% -10%

✖Sag of Cable at Midway between Supports is vertical sag at midpoint of cable.ⓘ Sag of Cable at Midway between supports given Maximum Reactions at Supports [f]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Sag of Cable at Midway between Supports - (Measured in Meter) - Sag of Cable at Midway between Supports is vertical sag at midpoint of cable.
Cable Span - (Measured in Meter) - Cable Span is total length of cable in horizontal direction.
Maximum Value of Tension - (Measured in Newton) - Maximum Value of Tension that occurs at the supports is a sum of both horizontal and vertical force.
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.

STEP 1: Convert Input(s) to Base Unit

Cable Span: 15 Meter --> 15 Meter No Conversion Required
Maximum Value of Tension: 93.75 Kilonewton --> 93750 Newton (Check conversion here)
Uniformly Distributed Load: 10 Kilonewton per Meter --> 10000 Newton per Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = sqrt(((L_span^2)/16)/(((2*T_max)/(q*L_span))^2-1)) --> sqrt(((15^2)/16)/(((2*93750)/(10000*15))^2-1))

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 00.004 seconds)

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< Supports at Same Level Calculators

Span Length given Horizontal Component of Cable Tension for UDL

LaTeX 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

LaTeX 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

LaTeX 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

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

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

LaTeX 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))
f = sqrt(((L_span^2)/16)/(((2*T_max)/(q*L_span))^2-1))

What is Span and Sag of Cable?

The horizontal distance between consecutive supports of an Overhead line is called span. The vertical distance between the straight line joining the points of consecutive supports and the lowest point of the conductor is called sag.

How to Calculate Sag of Cable at Midway between supports given Maximum Reactions at Supports?

Sag of Cable at Midway between supports given Maximum Reactions at Supports calculator uses Sag of Cable at Midway between Supports = sqrt(((Cable Span^2)/16)/(((2*Maximum Value of Tension)/(Uniformly Distributed Load*Cable Span))^2-1)) to calculate the Sag of Cable at Midway between Supports, The Sag of Cable at Midway between supports given Maximum Reactions at Supports defined as total vertical deflection from chord of parabola. Sag of Cable at Midway between Supports is denoted by f symbol.

How to calculate Sag of Cable at Midway between supports given Maximum Reactions at Supports using this online calculator? To use this online calculator for Sag of Cable at Midway between supports given Maximum Reactions at Supports, enter Cable Span (L_span), Maximum Value of Tension (T_max) & Uniformly Distributed Load (q) and hit the calculate button. Here is how the Sag of Cable at Midway between supports given Maximum Reactions at Supports calculation can be explained with given input values -> 5 = sqrt(((15^2)/16)/(((2*93750)/(10000*15))^2-1)).

FAQ

What is Sag of Cable at Midway between supports given Maximum Reactions at Supports?

The Sag of Cable at Midway between supports given Maximum Reactions at Supports defined as total vertical deflection from chord of parabola and is represented as f = sqrt(((L_span^2)/16)/(((2*T_max)/(q*L_span))^2-1)) or Sag of Cable at Midway between Supports = sqrt(((Cable Span^2)/16)/(((2*Maximum Value of Tension)/(Uniformly Distributed Load*Cable Span))^2-1)). Cable Span is total length of cable in horizontal direction, Maximum Value of Tension that occurs at the supports is a sum of both horizontal and vertical force & 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.

How to calculate Sag of Cable at Midway between supports given Maximum Reactions at Supports?

The Sag of Cable at Midway between supports given Maximum Reactions at Supports defined as total vertical deflection from chord of parabola is calculated using Sag of Cable at Midway between Supports = sqrt(((Cable Span^2)/16)/(((2*Maximum Value of Tension)/(Uniformly Distributed Load*Cable Span))^2-1)). To calculate Sag of Cable at Midway between supports given Maximum Reactions at Supports, you need Cable Span (L_span), Maximum Value of Tension (T_max) & Uniformly Distributed Load (q). With our tool, you need to enter the respective value for Cable Span, Maximum Value of Tension & Uniformly Distributed Load 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 Cable Span, Maximum Value of Tension & Uniformly Distributed Load. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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