Prestress Drop given Pressure after Immediate Loss Calculator

✖Prestressing Force after Loss is the prestressing force after immediate losses. It is the reduced value of prestressing force after elastic shortening, anchorage slip and loss due to friction.ⓘ Prestressing Force after Loss [P_o]			+10% -10%
✖Pre-Tensioned Area of Concrete is a construction method where steel tendons are stressed before pouring concrete, enhancing structural strength.ⓘ Pre-Tensioned Area of Concrete [A_{Pre tension}]			+10% -10%
✖Modular Ratio for Elastic Shortening is the ratio of the elastic modulus of a particular material in a cross-section to the elastic modulus of the “base” or the reference material.ⓘ Modular Ratio for Elastic Shortening [m_Elastic]			+10% -10%

✖Drop in Prestress is the drop in applied prestress force due to strain in tendons.ⓘ Prestress Drop given Pressure after Immediate Loss [Δf_Drop]

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Prestress Drop given Pressure after Immediate Loss Solution

STEP 0: Pre-Calculation Summary

Formula Used

Drop in Prestress = (Prestressing Force after Loss/Pre-Tensioned Area of Concrete)*Modular Ratio for Elastic Shortening
Δf_Drop = (P_o/A_{Pre tension})*m_Elastic
This formula uses 4 Variables

Variables Used

Drop in Prestress - (Measured in Pascal) - Drop in Prestress is the drop in applied prestress force due to strain in tendons.
Prestressing Force after Loss - (Measured in Kilonewton) - Prestressing Force after Loss is the prestressing force after immediate losses. It is the reduced value of prestressing force after elastic shortening, anchorage slip and loss due to friction.
Pre-Tensioned Area of Concrete - (Measured in Square Millimeter) - Pre-Tensioned Area of Concrete is a construction method where steel tendons are stressed before pouring concrete, enhancing structural strength.
Modular Ratio for Elastic Shortening - Modular Ratio for Elastic Shortening is the ratio of the elastic modulus of a particular material in a cross-section to the elastic modulus of the “base” or the reference material.

STEP 1: Convert Input(s) to Base Unit

Prestressing Force after Loss: 96000 Kilonewton --> 96000 Kilonewton No Conversion Required
Pre-Tensioned Area of Concrete: 12 Square Millimeter --> 12 Square Millimeter No Conversion Required
Modular Ratio for Elastic Shortening: 0.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δf_Drop = (P_o/A_{Pre tension})*m_Elastic --> (96000/12)*0.6

Evaluating ... ...

Δf_Drop = 4800

STEP 3: Convert Result to Output's Unit

4800 Pascal -->0.0048 Megapascal (Check conversion here)

FINAL ANSWER

0.0048 Megapascal <-- Drop in Prestress

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< Pre Tensioned Members Calculators

Prestressing Force after Immediate Loss given Initial Prestress

LaTeX Go Prestressing Force after Loss = Initial Prestress Force*Pre-Tensioned Area of Concrete/Transformed Section Area of Prestress

Initial Prestress given Prestress after Immediate Loss

LaTeX Go Initial Prestress Force = Prestressing Force after Loss*Transformed Section Area of Prestress/Pre-Tensioned Area of Concrete

Prestress Drop given Pressure after Immediate Loss

LaTeX Go Drop in Prestress = (Prestressing Force after Loss/Pre-Tensioned Area of Concrete)*Modular Ratio for Elastic Shortening

Modular Ratio given Prestress after Immediate Loss

LaTeX Go Modular Ratio for Elastic Shortening = Drop in Prestress*Pre-Tensioned Area of Concrete/Prestressing Force after Loss

Prestress Drop given Pressure after Immediate Loss Formula

LaTeX Go

Drop in Prestress = (Prestressing Force after Loss/Pre-Tensioned Area of Concrete)*Modular Ratio for Elastic Shortening
Δf_Drop = (P_o/A_{Pre tension})*m_Elastic

What is the Loss due to Elastic Shortening?

Loss due to Elastic Shortening is caused by the instantaneous compression of concrete
when the prestress force is transferred to the hardened concrete member. As the concrete
shortens it allows the prestressing steel to shorten with it. It is defined as the loss of
tensile stress in prestressing steel due to the prestress combined with the stress gain due
to the self weight of the member. The Elastic Shortening depends on the modular ratio
and the average stress in the concrete at the level of prestressing steel.

How to Calculate Prestress Drop given Pressure after Immediate Loss?

Prestress Drop given Pressure after Immediate Loss calculator uses Drop in Prestress = (Prestressing Force after Loss/Pre-Tensioned Area of Concrete)*Modular Ratio for Elastic Shortening to calculate the Drop in Prestress, The Prestress Drop given Pressure after Immediate Loss is defined as the reduced value of prestressing force after elastic shortening, anchorage slip and loss due to friction. Drop in Prestress is denoted by Δf_Drop symbol.

How to calculate Prestress Drop given Pressure after Immediate Loss using this online calculator? To use this online calculator for Prestress Drop given Pressure after Immediate Loss, enter Prestressing Force after Loss (P_o), Pre-Tensioned Area of Concrete (A_{Pre tension}) & Modular Ratio for Elastic Shortening (m_Elastic) and hit the calculate button. Here is how the Prestress Drop given Pressure after Immediate Loss calculation can be explained with given input values -> 4.8E-9 = (96000000/1.2E-05)*0.6.

FAQ

What is Prestress Drop given Pressure after Immediate Loss?

The Prestress Drop given Pressure after Immediate Loss is defined as the reduced value of prestressing force after elastic shortening, anchorage slip and loss due to friction and is represented as Δf_Drop = (P_o/A_{Pre tension})*m_Elastic or Drop in Prestress = (Prestressing Force after Loss/Pre-Tensioned Area of Concrete)*Modular Ratio for Elastic Shortening. Prestressing Force after Loss is the prestressing force after immediate losses. It is the reduced value of prestressing force after elastic shortening, anchorage slip and loss due to friction, Pre-Tensioned Area of Concrete is a construction method where steel tendons are stressed before pouring concrete, enhancing structural strength & Modular Ratio for Elastic Shortening is the ratio of the elastic modulus of a particular material in a cross-section to the elastic modulus of the “base” or the reference material.

How to calculate Prestress Drop given Pressure after Immediate Loss?

The Prestress Drop given Pressure after Immediate Loss is defined as the reduced value of prestressing force after elastic shortening, anchorage slip and loss due to friction is calculated using Drop in Prestress = (Prestressing Force after Loss/Pre-Tensioned Area of Concrete)*Modular Ratio for Elastic Shortening. To calculate Prestress Drop given Pressure after Immediate Loss, you need Prestressing Force after Loss (P_o), Pre-Tensioned Area of Concrete (A_{Pre tension}) & Modular Ratio for Elastic Shortening (m_Elastic). With our tool, you need to enter the respective value for Prestressing Force after Loss, Pre-Tensioned Area of Concrete & Modular Ratio for Elastic Shortening and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Drop in Prestress?

In this formula, Drop in Prestress uses Prestressing Force after Loss, Pre-Tensioned Area of Concrete & Modular Ratio for Elastic Shortening. We can use 1 other way(s) to calculate the same, which is/are as follows -

Drop in Prestress = Initial Prestress Force*Modular Ratio for Elastic Shortening/Transformed Section Area of Prestress

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