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Loss of Prestress due to Slip Formula

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

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

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

Loss of Prestress due to Slip Example

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Here is how the Loss of Prestress due to Slip equation looks like with Values.

Here is how the Loss of Prestress due to Slip equation looks like with Units.

Here is how the Loss of Prestress due to Slip equation looks like.

4.2E-6 = 0.21 \cdot \frac{200000 \cdot 5}{50.1}

4.2E-6kN = 0.21mm² \cdot \frac{200000MPa \cdot 5mm}{50.1m}

4.2E-6 = 0.21 \cdot \frac{200000 \cdot 5}{50.1}

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Loss of Prestress due to Slip Solution

Follow our step by step solution on how to calculate Loss of Prestress due to Slip?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F = 0.21mm² \cdot \frac{200000MPa \cdot 5mm}{50.1m}

Next Step Convert Units

∴

F = 2.1E-7m² \cdot \frac{200000MPa \cdot 5mm}{50100mm}

Next Step Prepare to Evaluate

∴

F = 2.1E-7 \cdot \frac{200000 \cdot 5}{50100}

Next Step Evaluate

∴

F = 0.00419161676646707N

Next Step Convert to Output's Unit

∴

F = 4.19161676646707E-06kN

LAST Step Rounding Answer

∴

F = 4.2E-6kN

Loss of Prestress due to Slip Formula Elements

Variables

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

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

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

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

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

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

Go Pressure Drop given Setting Length

Δf p = 2 \cdot P \cdot η \cdot l set

How to Evaluate Loss of Prestress due to Slip?

Loss of Prestress due to Slip evaluator uses Prestressing Force = Tendon Area*(Modulus of Elasticity of Steel Reinforcement*Slip of Anchorage)/Cable Length to evaluate the Prestressing Force, The Loss of Prestress due to Slip is defined as the consequent reduction in the length of the tendon. Amount of slip depends on type of wedge and stress in the wire. Prestressing Force is denoted by F symbol.

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

FAQs on Loss of Prestress due to Slip

What is the formula to find Loss of Prestress due to Slip?

The formula of Loss of Prestress due to Slip is expressed as Prestressing Force = Tendon Area*(Modulus of Elasticity of Steel Reinforcement*Slip of Anchorage)/Cable Length. Here is an example- 4E-9 = 2.1E-07*(200000000000*0.005)/50.1.

How to calculate Loss of Prestress due to Slip?

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

Can the Loss of Prestress due to Slip be negative?

No, the Loss of Prestress due to Slip, measured in Force cannot be negative.

Which unit is used to measure Loss of Prestress due to Slip?

Loss of Prestress due to Slip is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Loss of Prestress due to Slip can be measured.

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Loss of Prestress due to Slip Formula

Loss of Prestress due to Slip Example

Loss of Prestress due to Slip Solution

Loss of Prestress due to Slip Formula Elements

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

How to Evaluate Loss of Prestress due to Slip?

FAQs on Loss of Prestress due to Slip

Variable Name