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Loss of Prestress due to Slip Calculator

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Loss due to Anchorage Slip, Friction Loss and General Geometric Properties Loss due to Elastic Shortening

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Force Variation Diagram and Loss Due to Anchorage Slip Friction Loss General Geometric Properties Losses due to Creep and Shrinkage

✖Tendon Area represents the cross section area of the cable used for prestressing.ⓘ Tendon Area [A_Tendon]			+10% -10%
✖Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness.ⓘ Modulus of Elasticity of Steel Reinforcement [E_s]			+10% -10%
✖Slip of Anchorage is the distance by which the anchorage gets slipped when the force is transmitted from anchorage to tendon.ⓘ Slip of Anchorage [Δ]			+10% -10%
✖Cable Length is the length of tendon used for prestressing in the concrete section.ⓘ Cable Length [PL_Cable]			+10% -10%

✖Prestressing Force is the force internally applied to the prestressed concrete section.ⓘ Loss of Prestress due to Slip [F]

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Loss of Prestress due to Slip Solution

STEP 0: Pre-Calculation Summary

Formula Used

Prestressing Force = Tendon Area*(Modulus of Elasticity of Steel Reinforcement*Slip of Anchorage)/Cable Length
F = A_Tendon*(E_s*Δ)/PL_Cable
This formula uses 5 Variables

Variables Used

Prestressing Force - (Measured in Kilonewton) - Prestressing Force is the force internally applied to the prestressed concrete section.
Tendon Area - (Measured in Square Meter) - Tendon Area represents the cross section area of the cable used for prestressing.
Modulus of Elasticity of Steel Reinforcement - (Measured in Megapascal) - Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness.
Slip of Anchorage - (Measured in Millimeter) - Slip of Anchorage is the distance by which the anchorage gets slipped when the force is transmitted from anchorage to tendon.
Cable Length - (Measured in Millimeter) - Cable Length is the length of tendon used for prestressing in the concrete section.

STEP 1: Convert Input(s) to Base Unit

Tendon Area: 0.21 Square Millimeter --> 2.1E-07 Square Meter (Check conversion here)
Modulus of Elasticity of Steel Reinforcement: 200000 Megapascal --> 200000 Megapascal No Conversion Required
Slip of Anchorage: 5 Millimeter --> 5 Millimeter No Conversion Required
Cable Length: 50.1 Meter --> 50100 Millimeter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F = A_Tendon*(E_s*Δ)/PL_Cable --> 2.1E-07*(200000*5)/50100

Evaluating ... ...

F = 4.19161676646707E-06

STEP 3: Convert Result to Output's Unit

0.00419161676646707 Newton -->4.19161676646707E-06 Kilonewton (Check conversion here)

FINAL ANSWER

4.19161676646707E-06 ≈ 4.2E-6 Kilonewton <-- Prestressing Force

(Calculation completed in 00.004 seconds)

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< Force Variation Diagram and Loss Due to Anchorage Slip Calculators

Prestressing Force after Immediate Loss when Reverse Friction Effect is Considered

LaTeX Go Prestressing force after Immediate Losses = (Prestress Force at a Distance/(exp(Simplified Term*Distance from Left End)))+Prestress Drop

Prestressing Force at distance x when Reverse Friction is Considered

LaTeX Go Prestress Force at a Distance = (Prestressing force after Immediate Losses-Prestress Drop)*exp(Simplified Term*Distance from Left End)

Loss of Prestress due to Slip

LaTeX Go Prestressing Force = Tendon Area*(Modulus of Elasticity of Steel Reinforcement*Slip of Anchorage)/Cable Length

Slip of Anchorage

LaTeX Go Slip of Anchorage = Prestressing Force*Cable Length/(Tendon Area*Modulus of Elasticity of Steel Reinforcement)

Loss of Prestress due to Slip Formula

LaTeX Go

Prestressing Force = Tendon Area*(Modulus of Elasticity of Steel Reinforcement*Slip of Anchorage)/Cable Length
F = A_Tendon*(E_s*Δ)/PL_Cable

What is Anchorage Slip?

In a post-tensioned member, when the prestress is transferred to the concrete, the
wedges slip through a little distance before they get properly seated in the conical space.
The anchorage block also moves before it settles on the concrete. There is loss of
prestress due to the consequent reduction in the length of the tendon. The total anchorage slip depends on the type of anchorage system.

How to Calculate Loss of Prestress due to Slip?

Loss of Prestress due to Slip calculator uses Prestressing Force = Tendon Area*(Modulus of Elasticity of Steel Reinforcement*Slip of Anchorage)/Cable Length to calculate 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 calculate Loss of Prestress due to Slip using this online calculator? To use this online calculator 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. Here is how the Loss of Prestress due to Slip calculation can be explained with given input values -> 4E-9 = 2.1E-07*(200000000000*0.005)/50.1.

FAQ

What is Loss of Prestress due to Slip?

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 and is represented as F = A_Tendon*(E_s*Δ)/PL_Cable or Prestressing Force = Tendon Area*(Modulus of Elasticity of Steel Reinforcement*Slip of Anchorage)/Cable Length. Tendon Area represents the cross section area of the cable used for prestressing, Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness, Slip of Anchorage is the distance by which the anchorage gets slipped when the force is transmitted from anchorage to tendon & Cable Length is the length of tendon used for prestressing in the concrete section.

How to calculate Loss of Prestress due to Slip?

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 is calculated using Prestressing Force = Tendon Area*(Modulus of Elasticity of Steel Reinforcement*Slip of Anchorage)/Cable Length. To calculate Loss of Prestress due to Slip, you need Tendon Area (A_Tendon), Modulus of Elasticity of Steel Reinforcement (E_s), Slip of Anchorage (Δ) & Cable Length (PL_Cable). With our tool, you need to enter the respective value for Tendon Area, Modulus of Elasticity of Steel Reinforcement, Slip of Anchorage & Cable Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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