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

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

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

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

f - Sag of Cable at Midway between Supports?q - Uniformly Distributed Load?L_span - Cable Span?T_{cable udl} - Cable Tension for UDL?

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

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Here is how the Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL equation looks like with Values.

Here is how the Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL equation looks like with Units.

Here is how the Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL equation looks like.

5 = 10 \cdot \frac{15^{2}}{8 \cdot 56.25}

5m = 10kN/m \cdot \frac{{15m}^{2}}{8 \cdot 56.25kN}

5 = 10 \cdot \frac{15^{2}}{8 \cdot 56.25}

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Bridge and Suspension Cable » fx 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 Solution

Follow our step by step solution on how to calculate Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f = 10kN/m \cdot \frac{{15m}^{2}}{8 \cdot 56.25kN}

Next Step Convert Units

∴

f = 10000N/m \cdot \frac{{15m}^{2}}{8 \cdot 56250N}

Next Step Prepare to Evaluate

∴

f = 10000 \cdot \frac{15^{2}}{8 \cdot 56250}

LAST Step Evaluate

∴

f = 5m

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

Variables

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

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

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

Cable Tension for UDL

Cable Tension for UDL is the total tension in cable for uniformly distributed load on cable.

Symbol: T_{cable udl}

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Cable Tension for UDL

Other Formulas to find Sag of Cable at Midway between Supports

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

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

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 Horizontal Component of Cable Tension for UDL?

Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL evaluator uses Sag of Cable at Midway between Supports = Uniformly Distributed Load*(Cable Span^2)/(8*Cable Tension for UDL) to evaluate 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 evaluate Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL using this online evaluator? To use this online evaluator 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.

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

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

The formula of Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL is expressed as Sag of Cable at Midway between Supports = Uniformly Distributed Load*(Cable Span^2)/(8*Cable Tension for UDL). Here is an example- 5 = 10000*(15^2)/(8*56250).

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

With Uniformly Distributed Load (q), Cable Span (L_span) & Cable Tension for UDL (T_{cable udl}) we can find Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL using the formula - Sag of Cable at Midway between Supports = Uniformly Distributed Load*(Cable Span^2)/(8*Cable Tension for UDL).

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

Can the Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL be negative?

No, the Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL, measured in Length cannot be negative.

Which unit is used to measure 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 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 Horizontal Component of Cable Tension for UDL can be measured.

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

​GoSag of Cable at Midway between supports given Maximum Reactions at Supports Formula

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

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

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

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

Variable Name

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