Modular Ratio given Prestress after Immediate Loss Solution

STEP 0: Pre-Calculation Summary
Formula Used
Modular Ratio for Elastic Shortening = Drop in Prestress*Pre-Tensioned Area of Concrete/Prestressing Force after Loss
mElastic = ΔfDrop*APre tension/Po
This formula uses 4 Variables
Variables Used
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.
Drop in Prestress - (Measured in Pascal) - Drop in Prestress is the drop in applied prestress force due to strain in tendons.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Drop in Prestress: 0.02 Megapascal --> 20000 Pascal (Check conversion here)
Pre-Tensioned Area of Concrete: 12 Square Millimeter --> 12 Square Millimeter No Conversion Required
Prestressing Force after Loss: 96000 Kilonewton --> 96000 Kilonewton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
mElastic = ΔfDrop*APre tension/Po --> 20000*12/96000
Evaluating ... ...
mElastic = 2.5
STEP 3: Convert Result to Output's Unit
2.5 --> No Conversion Required
FINAL ANSWER
2.5 <-- Modular Ratio for Elastic Shortening
(Calculation completed in 00.004 seconds)

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NSS College of Engineering (NSSCE), Palakkad
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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

Modular Ratio given Prestress after Immediate Loss Formula

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

What is the significance of Modular Ratio in design?

Modular ratio is the ratio of Modulus of Elasticity of Steel to Modulus of Elasticity of Concrete, Modular ration significance is to finding losses in prestress because of the influence of creep. Reinforced concrete is made up of two material, i.e., concrete and steel.

How to Calculate Modular Ratio given Prestress after Immediate Loss?

Modular Ratio given Prestress after Immediate Loss calculator uses Modular Ratio for Elastic Shortening = Drop in Prestress*Pre-Tensioned Area of Concrete/Prestressing Force after Loss to calculate the Modular Ratio for Elastic Shortening, The Modular Ratio given Prestress after Immediate Loss is defined as the ratio of elastic modulus of particular material in cross-section to elastic modulus of “base” or reference material. Modular Ratio for Elastic Shortening is denoted by mElastic symbol.

How to calculate Modular Ratio given Prestress after Immediate Loss using this online calculator? To use this online calculator for Modular Ratio given Prestress after Immediate Loss, enter Drop in Prestress (ΔfDrop), Pre-Tensioned Area of Concrete (APre tension) & Prestressing Force after Loss (Po) and hit the calculate button. Here is how the Modular Ratio given Prestress after Immediate Loss calculation can be explained with given input values -> 2.5 = 20000*1.2E-05/96000000.

FAQ

What is Modular Ratio given Prestress after Immediate Loss?
The Modular Ratio given Prestress after Immediate Loss is defined as the ratio of elastic modulus of particular material in cross-section to elastic modulus of “base” or reference material and is represented as mElastic = ΔfDrop*APre tension/Po or Modular Ratio for Elastic Shortening = Drop in Prestress*Pre-Tensioned Area of Concrete/Prestressing Force after Loss. Drop in Prestress is the drop in applied prestress force due to strain in tendons, Pre-Tensioned Area of Concrete is a construction method where steel tendons are stressed before pouring concrete, enhancing structural strength & 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.
How to calculate Modular Ratio given Prestress after Immediate Loss?
The Modular Ratio given Prestress after Immediate Loss is defined as the ratio of elastic modulus of particular material in cross-section to elastic modulus of “base” or reference material is calculated using Modular Ratio for Elastic Shortening = Drop in Prestress*Pre-Tensioned Area of Concrete/Prestressing Force after Loss. To calculate Modular Ratio given Prestress after Immediate Loss, you need Drop in Prestress (ΔfDrop), Pre-Tensioned Area of Concrete (APre tension) & Prestressing Force after Loss (Po). With our tool, you need to enter the respective value for Drop in Prestress, Pre-Tensioned Area of Concrete & Prestressing Force after Loss 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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