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Area of Prestressing Steel given Settling Length Formula

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Steel Area in Prestress is the total cross sectional area of tendons. Check FAQs

A p = 0.5 \cdot Δf p \cdot \frac{l set}{Δ \cdot E s}

A_p - Steel Area in Prestress?Δf_p - Prestress Drop?l_set - Settling Length?Δ - Slip of Anchorage?E_s - Modulus of Elasticity of Steel Reinforcement?

Area of Prestressing Steel given Settling Length Example

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Here is how the Area of Prestressing Steel given Settling Length equation looks like with Values.

Here is how the Area of Prestressing Steel given Settling Length equation looks like with Units.

Here is how the Area of Prestressing Steel given Settling Length equation looks like.

0.208 = 0.5 \cdot 10 \cdot \frac{41.6}{5 \cdot 200000}

0.208mm² = 0.5 \cdot 10MPa \cdot \frac{41.6m}{5mm \cdot 200000MPa}

0.208 = 0.5 \cdot 10 \cdot \frac{41.6}{5 \cdot 200000}

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Area of Prestressing Steel given Settling Length Solution

Follow our step by step solution on how to calculate Area of Prestressing Steel given Settling Length?

FIRST Step Consider the formula

A p = 0.5 \cdot Δf p \cdot \frac{l set}{Δ \cdot E s}

Next Step Substitute values of Variables

∴

A p = 0.5 \cdot 10MPa \cdot \frac{41.6m}{5mm \cdot 200000MPa}

Next Step Convert Units

∴

A p = 0.5 \cdot 10MPa \cdot \frac{41600mm}{5mm \cdot 200000MPa}

Next Step Prepare to Evaluate

∴

A p = 0.5 \cdot 10 \cdot \frac{41600}{5 \cdot 200000}

Next Step Evaluate

∴

A p = 2.08E-07m²

LAST Step Convert to Output's Unit

∴

A p = 0.208mm²

Area of Prestressing Steel given Settling Length Formula Elements

Variables

Steel Area in Prestress

Steel Area in Prestress is the total cross sectional area of tendons.

Symbol: A_p

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Steel Area in Prestress

Prestress Drop

Prestress Drop is the drop in applied prestress force due to strain in tendons.

Symbol: Δf_p

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Prestress Drop

Settling Length

Settling Length is the length where the effect of anchorage friction is absent.

Symbol: l_set

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Settling Length

Slip of Anchorage

Slip of Anchorage is the distance by which the anchorage gets slipped when the force is transmitted from anchorage to tendon.

Symbol: Δ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Slip of Anchorage

Modulus of Elasticity of Steel Reinforcement

Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness.

Symbol: E_s

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Steel Reinforcement

Other formulas in Force Variation Diagram and Loss Due to Anchorage Slip category

Go Loss of Prestress due to Slip

F = A Tendon \cdot \frac{E s \cdot Δ}{PL Cable}

Go Slip of Anchorage

Δ = F \cdot \frac{PL Cable}{A Tendon \cdot E s}

Go Prestressing Force at distance x when Reverse Friction is Considered

P x = (P - Δf p) \cdot \exp (η \cdot x)

Go Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered

P = (\frac{P x}{\exp (η \cdot x)}) + Δf p

How to Evaluate Area of Prestressing Steel given Settling Length?

Area of Prestressing Steel given Settling Length evaluator uses Steel Area in Prestress = 0.5*Prestress Drop*Settling Length/(Slip of Anchorage*Modulus of Elasticity of Steel Reinforcement) to evaluate the Steel Area in Prestress, The Area of Prestressing Steel given Settling Length is defined as the area of prestressing tendons or cables by knowing prestress drop and settling length. Steel Area in Prestress is denoted by A_p symbol.

How to evaluate Area of Prestressing Steel given Settling Length using this online evaluator? To use this online evaluator for Area of Prestressing Steel given Settling Length, enter Prestress Drop (Δf_p), Settling Length (l_set), Slip of Anchorage (Δ) & Modulus of Elasticity of Steel Reinforcement (E_s) and hit the calculate button.

FAQs on Area of Prestressing Steel given Settling Length

What is the formula to find Area of Prestressing Steel given Settling Length?

The formula of Area of Prestressing Steel given Settling Length is expressed as Steel Area in Prestress = 0.5*Prestress Drop*Settling Length/(Slip of Anchorage*Modulus of Elasticity of Steel Reinforcement). Here is an example- 250000 = 0.5*10000000*41.6/(0.005*200000000000).

How to calculate Area of Prestressing Steel given Settling Length?

With Prestress Drop (Δf_p), Settling Length (l_set), Slip of Anchorage (Δ) & Modulus of Elasticity of Steel Reinforcement (E_s) we can find Area of Prestressing Steel given Settling Length using the formula - Steel Area in Prestress = 0.5*Prestress Drop*Settling Length/(Slip of Anchorage*Modulus of Elasticity of Steel Reinforcement).

Can the Area of Prestressing Steel given Settling Length be negative?

No, the Area of Prestressing Steel given Settling Length, measured in Area cannot be negative.

Which unit is used to measure Area of Prestressing Steel given Settling Length?

Area of Prestressing Steel given Settling Length is usually measured using the Square Millimeter[mm²] for Area. Square Meter[mm²], Square Kilometer[mm²], Square Centimeter[mm²] are the few other units in which Area of Prestressing Steel given Settling Length can be measured.

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Area of Prestressing Steel given Settling Length Formula

Area of Prestressing Steel given Settling Length Example

Area of Prestressing Steel given Settling Length Solution

Area of Prestressing Steel given Settling Length Formula Elements

Other formulas in Force Variation Diagram and Loss Due to Anchorage Slip category

How to Evaluate Area of Prestressing Steel given Settling Length?

FAQs on Area of Prestressing Steel given Settling Length

Variable Name