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
ΔfDrop = (Po/APre tension)*mElastic
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
ΔfDrop = (Po/APre tension)*mElastic --> (96000/12)*0.6
Evaluating ... ...
ΔfDrop = 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)

Credits

Created by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has created this Calculator and 500+ more calculators!
Verified by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has verified this Calculator and 700+ more calculators!

9 Pre-Tensioned Members Calculators

Prestressing Force after Immediate Loss given Initial Prestress
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
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
Go Drop in Prestress = (Prestressing Force after Loss/Pre-Tensioned Area of Concrete)*Modular Ratio for Elastic Shortening
Transformed Area of Prestress Member for Known Pressure Drop
Go Transformed Section Area of Prestress = Modular Ratio for Elastic Shortening*Initial Prestress Force/Drop in Prestress
Prestress Drop given Initial Prestress Force
Go Drop in Prestress = Initial Prestress Force*Modular Ratio for Elastic Shortening/Transformed Section Area of Prestress
Modular Ratio given Prestress after Immediate Loss
Go Modular Ratio for Elastic Shortening = Drop in Prestress*Pre-Tensioned Area of Concrete/Prestressing Force after Loss
Residual Strain in Steel for Known Strain due to Elastic Shortening
Go Residual Strain = Initial Strain-Concrete Strain
Initial Strain in Steel for Known Strain due to Elastic Shortening
Go Initial Strain = Concrete Strain+Residual Strain
Strain in Concrete due to Elastic Shortening
Go Concrete Strain = Initial Strain-Residual Strain

Prestress Drop given Pressure after Immediate Loss Formula

Drop in Prestress = (Prestressing Force after Loss/Pre-Tensioned Area of Concrete)*Modular Ratio for Elastic Shortening
ΔfDrop = (Po/APre tension)*mElastic

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 ΔfDrop 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 (Po), Pre-Tensioned Area of Concrete (APre tension) & Modular Ratio for Elastic Shortening (mElastic) 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 ΔfDrop = (Po/APre tension)*mElastic 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 (Po), Pre-Tensioned Area of Concrete (APre tension) & Modular Ratio for Elastic Shortening (mElastic). 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
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!