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

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

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Sag of Cable at Midway between Supports is vertical sag at midpoint of cable. Check FAQs

f = \sqrt{\frac{\frac{{L span}^{2}}{16}}{{(\frac{2 \cdot T max}{q \cdot L span})}^{2} - 1}}

f - Sag of Cable at Midway between Supports?L_span - Cable Span?T_max - Maximum Value of Tension?q - Uniformly Distributed Load?

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

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Here is how the Sag of Cable at Midway between supports given Maximum Reactions at Supports equation looks like with Values.

Here is how the Sag of Cable at Midway between supports given Maximum Reactions at Supports equation looks like with Units.

Here is how the Sag of Cable at Midway between supports given Maximum Reactions at Supports equation looks like.

5 = \sqrt{\frac{\frac{15^{2}}{16}}{{(\frac{2 \cdot 93.75}{10 \cdot 15})}^{2} - 1}}

5m = \sqrt{\frac{\frac{{15m}^{2}}{16}}{{(\frac{2 \cdot 93.75kN}{10kN/m \cdot 15m})}^{2} - 1}}

5 = \sqrt{\frac{\frac{15^{2}}{16}}{{(\frac{2 \cdot 93.75}{10 \cdot 15})}^{2} - 1}}

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

Follow our step by step solution on how to calculate Sag of Cable at Midway between supports given Maximum Reactions at Supports?

FIRST Step Consider the formula

f = \sqrt{\frac{\frac{{L span}^{2}}{16}}{{(\frac{2 \cdot T max}{q \cdot L span})}^{2} - 1}}

Next Step Substitute values of Variables

∴

f = \sqrt{\frac{\frac{{15m}^{2}}{16}}{{(\frac{2 \cdot 93.75kN}{10kN/m \cdot 15m})}^{2} - 1}}

Next Step Convert Units

∴

f = \sqrt{\frac{\frac{{15m}^{2}}{16}}{{(\frac{2 \cdot 93750N}{10000N/m \cdot 15m})}^{2} - 1}}

Next Step Prepare to Evaluate

∴

f = \sqrt{\frac{\frac{15^{2}}{16}}{{(\frac{2 \cdot 93750}{10000 \cdot 15})}^{2} - 1}}

LAST Step Evaluate

∴

f = 5m

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

Variables

Functions

Sag of Cable at Midway between Supports

Sag of Cable at Midway between Supports is vertical sag at midpoint of cable.

Symbol: f

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Sag of Cable at Midway between Supports

Cable Span

Cable Span is total length of cable in horizontal direction.

Symbol: L_span

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Cable Span

Maximum Value of Tension

Maximum Value of Tension that occurs at the supports is a sum of both horizontal and vertical force.

Symbol: T_max

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Maximum Value of Tension

Uniformly Distributed Load

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.

Symbol: q

Measurement: Surface TensionUnit: kN/m

Note: Value can be positive or negative.

Formulas to find Uniformly Distributed Load

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.

Syntax: sqrt(Number)

Other Formulas to find Sag of Cable at Midway between Supports

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

f = q \cdot \frac{{L span}^{2}}{8 \cdot T cable udl}

Other formulas in Supports at Same Level category

Go Horizontal Component of Cable Tension for UDL

T cable udl = q \cdot \frac{{L span}^{2}}{8 \cdot f}

Go Uniformly distributed Load given Horizontal Component of Cable Tension for UDL

q = \frac{T cable udl \cdot 8 \cdot f}{{(L span)}^{2}}

Go Span Length given Horizontal Component of Cable Tension for UDL

L span = \sqrt{\frac{8 \cdot f \cdot T cable udl}{q}}

Go Vertical Reaction at Supports

V R = q \cdot \frac{L span}{2}

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

Sag of Cable at Midway between supports given Maximum Reactions at Supports evaluator 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 evaluate 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 evaluate Sag of Cable at Midway between supports given Maximum Reactions at Supports using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Sag of Cable at Midway between supports given Maximum Reactions at Supports?

The formula of Sag of Cable at Midway between supports given Maximum Reactions at Supports is expressed as Sag of Cable at Midway between Supports = sqrt(((Cable Span^2)/16)/(((2*Maximum Value of Tension)/(Uniformly Distributed Load*Cable Span))^2-1)). Here is an example- 5 = sqrt(((15^2)/16)/(((2*93750)/(10000*15))^2-1)).

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

With Cable Span (L_span), Maximum Value of Tension (T_max) & Uniformly Distributed Load (q) we can find Sag of Cable at Midway between supports given Maximum Reactions at Supports using the formula - Sag of Cable at Midway between Supports = sqrt(((Cable Span^2)/16)/(((2*Maximum Value of Tension)/(Uniformly Distributed Load*Cable Span))^2-1)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Sag of Cable at Midway between Supports?

Here are the different ways to Calculate Sag of Cable at Midway between Supports-

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

Can the Sag of Cable at Midway between supports given Maximum Reactions at Supports be negative?

No, the Sag of Cable at Midway between supports given Maximum Reactions at Supports, measured in Length cannot be negative.

Which unit is used to measure Sag of Cable at Midway between supports given Maximum Reactions at Supports?

Sag of Cable at Midway between supports given Maximum Reactions at Supports is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Sag of Cable at Midway between supports given Maximum Reactions at Supports can be measured.

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

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

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

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

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

Other Formulas to find Sag of Cable at Midway between Supports

Other formulas in Supports at Same Level category

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

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

Variable Name

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