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Sag of Parabola given Uniform Load Formula

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Sag Length of Cable is the length measured at Midway between Supports is vertical sag at midpoint of cable. Check FAQs

L s = w b \cdot \frac{L^{2}}{8 \cdot F}

L_s - Sag Length of Cable?w_b - Uniform Load?L - Span Length?F - Prestressing Force?

Sag of Parabola given Uniform Load Example

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Here is how the Sag of Parabola given Uniform Load equation looks like with Values.

Here is how the Sag of Parabola given Uniform Load equation looks like with Units.

Here is how the Sag of Parabola given Uniform Load equation looks like.

5 = 0.64 \cdot \frac{5^{2}}{8 \cdot 400}

5m = 0.64kN/m \cdot \frac{{5m}^{2}}{8 \cdot 400kN}

5 = 0.64 \cdot \frac{5^{2}}{8 \cdot 400}

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Sag of Parabola given Uniform Load Solution

Follow our step by step solution on how to calculate Sag of Parabola given Uniform Load?

FIRST Step Consider the formula

L s = w b \cdot \frac{L^{2}}{8 \cdot F}

Next Step Substitute values of Variables

∴

L s = 0.64kN/m \cdot \frac{{5m}^{2}}{8 \cdot 400kN}

Next Step Convert Units

∴

L s = 640N/m \cdot \frac{{5m}^{2}}{8 \cdot 400kN}

Next Step Prepare to Evaluate

∴

L s = 640 \cdot \frac{5^{2}}{8 \cdot 400}

LAST Step Evaluate

∴

L s = 5m

Sag of Parabola given Uniform Load Formula Elements

Variables

Sag Length of Cable

Sag Length of Cable is the length measured at Midway between Supports is vertical sag at midpoint of cable.

Symbol: L_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Sag Length of Cable

Uniform Load

Uniform Load is a load that is distributed or spread across the whole region of an element such as a beam or slab.

Symbol: w_b

Measurement: Surface TensionUnit: kN/m

Note: Value should be greater than 0.

Formulas to find Uniform Load

Span Length

Span Length is the end to end distance between any beam or slab.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Span Length

Prestressing Force

Prestressing Force is the force internally applied to the prestressed concrete section.

Symbol: F

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Prestressing Force

Other formulas in General Principles of Prestressed Concrete category

Go Uniform Compressive Stress due to Prestress

σ c = \frac{F}{A}

Go Prestressing Force given Compressive Stress

F = A \cdot σ c

Go Cross Sectional Area given Compressive Stress

A = \frac{F}{σ c}

Go Compressive Stress due to External Moment

f = M b \cdot (\frac{y}{I a})

How to Evaluate Sag of Parabola given Uniform Load?

Sag of Parabola given Uniform Load evaluator uses Sag Length of Cable = Uniform Load*Span Length^2/(8*Prestressing Force) to evaluate the Sag Length of Cable, The Sag of Parabola given Uniform Load is defined as vertical deflection caused in steel due to only end supports in beam or considered member. Sag Length of Cable is denoted by L_s symbol.

How to evaluate Sag of Parabola given Uniform Load using this online evaluator? To use this online evaluator for Sag of Parabola given Uniform Load, enter Uniform Load (w_b), Span Length (L) & Prestressing Force (F) and hit the calculate button.

FAQs on Sag of Parabola given Uniform Load

What is the formula to find Sag of Parabola given Uniform Load?

The formula of Sag of Parabola given Uniform Load is expressed as Sag Length of Cable = Uniform Load*Span Length^2/(8*Prestressing Force). Here is an example- 5 = 640*5^2/(8*400000).

How to calculate Sag of Parabola given Uniform Load?

With Uniform Load (w_b), Span Length (L) & Prestressing Force (F) we can find Sag of Parabola given Uniform Load using the formula - Sag Length of Cable = Uniform Load*Span Length^2/(8*Prestressing Force).

Can the Sag of Parabola given Uniform Load be negative?

No, the Sag of Parabola given Uniform Load, measured in Length cannot be negative.

Which unit is used to measure Sag of Parabola given Uniform Load?

Sag of Parabola given Uniform Load is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Sag of Parabola given Uniform Load can be measured.

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Sag of Parabola given Uniform Load Formula

Sag of Parabola given Uniform Load Example

Sag of Parabola given Uniform Load Solution

Sag of Parabola given Uniform Load Formula Elements

Other formulas in General Principles of Prestressed Concrete category

How to Evaluate Sag of Parabola given Uniform Load?

FAQs on Sag of Parabola given Uniform Load

Variable Name