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Slip of Anchorage Formula

GoAnchorage Slip given Settling Length Formula

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

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

Δ - Slip of Anchorage?F - Prestressing Force?PL_Cable - Cable Length?A_Tendon - Tendon Area?E_s - Modulus of Elasticity of Steel Reinforcement?

Slip of Anchorage Example

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With units

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Here is how the Slip of Anchorage equation looks like with Values.

Here is how the Slip of Anchorage equation looks like with Units.

Here is how the Slip of Anchorage equation looks like.

0.0005 = 400 \cdot \frac{50.1}{0.21 \cdot 200000}

0.0005mm = 400kN \cdot \frac{50.1m}{0.21mm² \cdot 200000MPa}

0.0005 = 400 \cdot \frac{50.1}{0.21 \cdot 200000}

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Slip of Anchorage Solution

Follow our step by step solution on how to calculate Slip of Anchorage?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Δ = 400kN \cdot \frac{50.1m}{0.21mm² \cdot 200000MPa}

Next Step Convert Units

∴

Δ = 400kN \cdot \frac{50100mm}{0.21mm² \cdot 2E+11Pa}

Next Step Prepare to Evaluate

∴

Δ = 400 \cdot \frac{50100}{0.21 \cdot 2E+11}

Next Step Evaluate

∴

Δ = 4.77142857142857E-07m

Next Step Convert to Output's Unit

∴

Δ = 0.000477142857142857mm

LAST Step Rounding Answer

∴

Δ = 0.0005mm

Slip of Anchorage Formula Elements

Variables

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

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

Cable Length

Cable Length is the length of tendon used for prestressing in the concrete section.

Symbol: PL_Cable

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Cable Length

Tendon Area

Tendon Area represents the cross section area of the cable used for prestressing.

Symbol: A_Tendon

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Tendon Area

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 to find Slip of Anchorage

Go Anchorage Slip given Settling Length

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

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 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

Go Pressure Drop given Setting Length

Δf p = 2 \cdot P \cdot η \cdot l set

How to Evaluate Slip of Anchorage?

Slip of Anchorage evaluator uses Slip of Anchorage = Prestressing Force*Cable Length/(Tendon Area*Modulus of Elasticity of Steel Reinforcement) to evaluate the Slip of Anchorage, The Slip of Anchorage is defined as the length slipped away by the wedge. The total anchorage slip depends on the type of anchorage system. Slip of Anchorage is denoted by Δ symbol.

How to evaluate Slip of Anchorage using this online evaluator? To use this online evaluator for Slip of Anchorage, enter Prestressing Force (F), Cable Length (PL_Cable), Tendon Area (A_Tendon) & Modulus of Elasticity of Steel Reinforcement (E_s) and hit the calculate button.

FAQs on Slip of Anchorage

What is the formula to find Slip of Anchorage?

The formula of Slip of Anchorage is expressed as Slip of Anchorage = Prestressing Force*Cable Length/(Tendon Area*Modulus of Elasticity of Steel Reinforcement). Here is an example- 0.501 = 400000*50.1/(2.1E-07*200000000000).

How to calculate Slip of Anchorage?

With Prestressing Force (F), Cable Length (PL_Cable), Tendon Area (A_Tendon) & Modulus of Elasticity of Steel Reinforcement (E_s) we can find Slip of Anchorage using the formula - Slip of Anchorage = Prestressing Force*Cable Length/(Tendon Area*Modulus of Elasticity of Steel Reinforcement).

What are the other ways to Calculate Slip of Anchorage?

Here are the different ways to Calculate Slip of Anchorage-

Slip of Anchorage=0.5*Prestress Drop*Settling Length/(Steel Area in Prestress*Modulus of Elasticity of Steel Reinforcement)

Can the Slip of Anchorage be negative?

No, the Slip of Anchorage, measured in Length cannot be negative.

Which unit is used to measure Slip of Anchorage?

Slip of Anchorage is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Slip of Anchorage can be measured.

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Slip of Anchorage Formula

​GoAnchorage Slip given Settling Length Formula

Slip of Anchorage Example

Slip of Anchorage Solution

Slip of Anchorage Formula Elements

Other Formulas to find Slip of Anchorage

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

How to Evaluate Slip of Anchorage?

FAQs on Slip of Anchorage

Variable Name

GoAnchorage Slip given Settling Length Formula