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Prestress Drop when Initial Prestress Force is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
prestress_drop = Initial prestress force*Modular Ratio/Transformed area of prestress section
Δfp = Pi*n/At
This formula uses 3 Variables
Variables Used
Initial prestress force - Initial prestress force is the force which is applied to the tendons by the jack. (Measured in Kilonewton)
Modular Ratio- Modular Ratio is defined as the Ratio between Modulus of Elasticity of Steel and Modulus of Elasticity of Concrete.
Transformed area of prestress section - Transformed area of prestress section is the area of the member when steel is substituted by an equivalent area of concrete. (Measured in Square Millimeter)
STEP 1: Convert Input(s) to Base Unit
Initial prestress force: 200 Kilonewton --> 200000 Newton (Check conversion here)
Modular Ratio: 10 --> No Conversion Required
Transformed area of prestress section: 500 Square Millimeter --> 0.0005 Square Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Δfp = Pi*n/At --> 200000*10/0.0005
Evaluating ... ...
Δfp = 4000000000
STEP 3: Convert Result to Output's Unit
4000000000 Pascal -->4000 Megapascal (Check conversion here)
FINAL ANSWER
4000 Megapascal <-- Prestress drop
(Calculation completed in 00.016 seconds)

10+ Loss of Prestress Calculators

Area of Concrete Section when Transformed Area is Calculated
concrete_area = Transformed area of prestress section-(Modular Ratio*Area of prestressing steel) Go
Area of Prestressing Steel when Transformed Area is Given
area_of_prestressing_steel = (Transformed area of prestress section-Concrete Area)/Modular Ratio Go
Prestress Drop when Stress in concrete at Same Level due to Prestressing Force is Known
prestress_drop = elastic modulus of steel*stress in concrete/Modulus of Elasticity Concrete Go
Transformed Area of Prestressed Member
transformed_prestress_area = Concrete Area+(Modular Ratio*Area of prestressing steel) Go
Transformed Area of Prestressed Member when Gross Area of Member is Known
transformed_prestress_area = Gross area+(Modular Ratio-1)*Area of prestressing steel Go
Prestress Drop when Pressure After Immediate Loss is Known
prestress_drop = (Prestressing force Po/Concrete Area)*Modular Ratio Go
Change in Strain in Tendon when Prestress Drop is Known
change_in_strain = Prestress drop/elastic modulus of steel Go
Prestress Drop
prestress_drop = elastic modulus of steel*Change in strain Go
Stress in Concrete when Prestress Drop is Established
stress_in_concrete = Prestress drop/Modular Ratio Go
Prestress Drop when Modular Ratio is Known
prestress_drop = Modular Ratio*stress in concrete Go

Prestress Drop when Initial Prestress Force is Given Formula

prestress_drop = Initial prestress force*Modular Ratio/Transformed area of prestress section
Δfp = Pi*n/At

What are the methods to predict prestress loss?

They are listed according to their descending order of perceived accuracy: (a) Time-Step methods; (b) Refined methods; (c) Lump-Sum methods.

How to Calculate Prestress Drop when Initial Prestress Force is Given?

Prestress Drop when Initial Prestress Force is Given calculator uses prestress_drop = Initial prestress force*Modular Ratio/Transformed area of prestress section to calculate the Prestress drop, The Prestress Drop when Initial Prestress Force is Given is the decrease in prestress on the tendons due to change in strain. Prestress drop and is denoted by Δfp symbol.

How to calculate Prestress Drop when Initial Prestress Force is Given using this online calculator? To use this online calculator for Prestress Drop when Initial Prestress Force is Given, enter Initial prestress force (Pi), Modular Ratio (n) and Transformed area of prestress section (At) and hit the calculate button. Here is how the Prestress Drop when Initial Prestress Force is Given calculation can be explained with given input values -> 4000 = 200000*10/0.0005.

FAQ

What is Prestress Drop when Initial Prestress Force is Given?
The Prestress Drop when Initial Prestress Force is Given is the decrease in prestress on the tendons due to change in strain and is represented as Δfp = Pi*n/At or prestress_drop = Initial prestress force*Modular Ratio/Transformed area of prestress section. Initial prestress force is the force which is applied to the tendons by the jack, Modular Ratio is defined as the Ratio between Modulus of Elasticity of Steel and Modulus of Elasticity of Concrete and Transformed area of prestress section is the area of the member when steel is substituted by an equivalent area of concrete.
How to calculate Prestress Drop when Initial Prestress Force is Given?
The Prestress Drop when Initial Prestress Force is Given is the decrease in prestress on the tendons due to change in strain is calculated using prestress_drop = Initial prestress force*Modular Ratio/Transformed area of prestress section. To calculate Prestress Drop when Initial Prestress Force is Given, you need Initial prestress force (Pi), Modular Ratio (n) and Transformed area of prestress section (At). With our tool, you need to enter the respective value for Initial prestress force, Modular Ratio and Transformed area of prestress section 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 Prestress drop?
In this formula, Prestress drop uses Initial prestress force, Modular Ratio and Transformed area of prestress section. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • transformed_prestress_area = Concrete Area+(Modular Ratio*Area of prestressing steel)
  • concrete_area = Transformed area of prestress section-(Modular Ratio*Area of prestressing steel)
  • area_of_prestressing_steel = (Transformed area of prestress section-Concrete Area)/Modular Ratio
  • transformed_prestress_area = Gross area+(Modular Ratio-1)*Area of prestressing steel
  • prestress_drop = elastic modulus of steel*Change in strain
  • change_in_strain = Prestress drop/elastic modulus of steel
  • prestress_drop = elastic modulus of steel*stress in concrete/Modulus of Elasticity Concrete
  • prestress_drop = Modular Ratio*stress in concrete
  • stress_in_concrete = Prestress drop/Modular Ratio
  • prestress_drop = (Prestressing force Po/Concrete Area)*Modular Ratio
Where is the Prestress Drop when Initial Prestress Force is Given calculator used?
Among many, Prestress Drop when Initial Prestress Force is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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