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Area of Prestressing Steel given Settling Length 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

✖Prestress Drop is the drop in applied prestress force due to strain in tendons.ⓘ Prestress Drop [Δf_p]			+10% -10%
✖Settling Length is the length where the effect of anchorage friction is absent.ⓘ Settling Length [l_set]			+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%
✖Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness.ⓘ Modulus of Elasticity of Steel Reinforcement [E_s]			+10% -10%

✖Steel Area in Prestress is the total cross sectional area of tendons.ⓘ Area of Prestressing Steel given Settling Length [A_p]

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Area of Prestressing Steel given Settling Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Steel Area in Prestress = 0.5*Prestress Drop*Settling Length/(Slip of Anchorage*Modulus of Elasticity of Steel Reinforcement)
A_p = 0.5*Δf_p*l_set/(Δ*E_s)
This formula uses 5 Variables

Variables Used

Steel Area in Prestress - (Measured in Square Millimeter) - Steel Area in Prestress is the total cross sectional area of tendons.
Prestress Drop - (Measured in Megapascal) - Prestress Drop is the drop in applied prestress force due to strain in tendons.
Settling Length - (Measured in Millimeter) - Settling Length is the length where the effect of anchorage friction is absent.
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.
Modulus of Elasticity of Steel Reinforcement - (Measured in Megapascal) - Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness.

STEP 1: Convert Input(s) to Base Unit

Prestress Drop: 10 Megapascal --> 10 Megapascal No Conversion Required
Settling Length: 41.6 Meter --> 41600 Millimeter (Check conversion here)
Slip of Anchorage: 5 Millimeter --> 5 Millimeter No Conversion Required
Modulus of Elasticity of Steel Reinforcement: 200000 Megapascal --> 200000 Megapascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_p = 0.5*Δf_p*l_set/(Δ*E_s) --> 0.5*10*41600/(5*200000)

Evaluating ... ...

A_p = 0.208

STEP 3: Convert Result to Output's Unit

2.08E-07 Square Meter -->0.208 Square Millimeter (Check conversion here)

FINAL ANSWER

0.208 Square Millimeter <-- Steel Area in Prestress

(Calculation completed in 00.020 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)

Area of Prestressing Steel given Settling Length Formula

LaTeX Go

Steel Area in Prestress = 0.5*Prestress Drop*Settling Length/(Slip of Anchorage*Modulus of Elasticity of Steel Reinforcement)
A_p = 0.5*Δf_p*l_set/(Δ*E_s)

What is Settling Length?

Due to the setting of the anchorage block, as the tendon shortens, there is a reverse
friction. Hence, the effect of anchorage slip is present up to a certain length. This length is referred as settling length (lset). Beyond settling length, the effect is absent.

What is the cause of wobbling losses in post tensioned tendons?

At the initial stage, major factors affecting prestress losses are friction loss, anchorage slip, and elastic shortening of the concrete. Friction losses may consist of both intended curvature of the tendons (that is curvature friction) and unintended misalignment of the tendons (that is wobble friction).

How to Calculate Area of Prestressing Steel given Settling Length?

Area of Prestressing Steel given Settling Length calculator uses Steel Area in Prestress = 0.5*Prestress Drop*Settling Length/(Slip of Anchorage*Modulus of Elasticity of Steel Reinforcement) to calculate 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 calculate Area of Prestressing Steel given Settling Length using this online calculator? To use this online calculator 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. Here is how the Area of Prestressing Steel given Settling Length calculation can be explained with given input values -> 250000 = 0.5*10000000*41.6/(0.005*200000000000).

FAQ

What is Area of Prestressing Steel given Settling Length?

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 and is represented as A_p = 0.5*Δf_p*l_set/(Δ*E_s) or Steel Area in Prestress = 0.5*Prestress Drop*Settling Length/(Slip of Anchorage*Modulus of Elasticity of Steel Reinforcement). Prestress Drop is the drop in applied prestress force due to strain in tendons, Settling Length is the length where the effect of anchorage friction is absent, Slip of Anchorage is the distance by which the anchorage gets slipped when the force is transmitted from anchorage to tendon & Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness.

How to calculate Area of Prestressing Steel given Settling Length?

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 is calculated using Steel Area in Prestress = 0.5*Prestress Drop*Settling Length/(Slip of Anchorage*Modulus of Elasticity of Steel Reinforcement). To calculate Area of Prestressing Steel given Settling Length, you need Prestress Drop (Δf_p), Settling Length (l_set), Slip of Anchorage (Δ) & Modulus of Elasticity of Steel Reinforcement (E_s). With our tool, you need to enter the respective value for Prestress Drop, Settling Length, Slip of Anchorage & Modulus of Elasticity of Steel Reinforcement 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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