Area of Concrete Section given Prestress Drop Calculator

✖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%
✖Prestress Force is the force acted on the tendon B if multiple tendons are used in a section.ⓘ Prestress Force [P_B]			+10% -10%
✖Prestress Drop is the drop in applied prestress force due to strain in tendons.ⓘ Prestress Drop [Δf_p]			+10% -10%

✖Concrete Occupied Area is area of concrete in design of section.ⓘ Area of Concrete Section given Prestress Drop [A_c]

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Area of Concrete Section given Prestress Drop Solution

STEP 0: Pre-Calculation Summary

Formula Used

Concrete Occupied Area = Modular Ratio for Elastic Shortening*Prestress Force/(Prestress Drop)
A_c = m_Elastic*P_B/(Δf_p)
This formula uses 4 Variables

Variables Used

Concrete Occupied Area - (Measured in Square Meter) - Concrete Occupied Area is area of concrete in design of section.
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.
Prestress Force - (Measured in Kilonewton) - Prestress Force is the force acted on the tendon B if multiple tendons are used in a section.
Prestress Drop - (Measured in Newton per Square Millimeter) - Prestress Drop is the drop in applied prestress force due to strain in tendons.

STEP 1: Convert Input(s) to Base Unit

Modular Ratio for Elastic Shortening: 0.6 --> No Conversion Required
Prestress Force: 200 Kilonewton --> 200 Kilonewton No Conversion Required
Prestress Drop: 10 Megapascal --> 10 Newton per Square Millimeter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_c = m_Elastic*P_B/(Δf_p) --> 0.6*200/(10)

Evaluating ... ...

A_c = 12

STEP 3: Convert Result to Output's Unit

12 Square Meter --> No Conversion Required

FINAL ANSWER

12 Square Meter <-- Concrete Occupied Area

(Calculation completed in 00.020 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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Prestress Drop given Stress in concrete at Same Level due to Prestressing Force

LaTeX Go Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Stress in Concrete Section/Modulus of Elasticity Concrete

Area of Concrete Section given Prestress Drop

LaTeX Go Concrete Occupied Area = Modular Ratio for Elastic Shortening*Prestress Force/(Prestress Drop)

Prestress Drop given Modular Ratio

LaTeX Go Prestress Drop = Modular Ratio for Elastic Shortening*Stress in Concrete Section

Prestress Drop

LaTeX Go Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Change in Strain

Area of Concrete Section given Prestress Drop Formula

LaTeX Go

Concrete Occupied Area = Modular Ratio for Elastic Shortening*Prestress Force/(Prestress Drop)
A_c = m_Elastic*P_B/(Δf_p)

What is Concrete Shrinkage?

The volumetric contraction of concrete specimen due to the loss of free water through
evaporation, carbonation or continued cement hydration, in the absence of load is called shrinkage.

How to Calculate Area of Concrete Section given Prestress Drop?

Area of Concrete Section given Prestress Drop calculator uses Concrete Occupied Area = Modular Ratio for Elastic Shortening*Prestress Force/(Prestress Drop) to calculate the Concrete Occupied Area, The Area of Concrete Section given Prestress Drop is defined as area of concrete section affected by prestress reduction due to relaxation or other factors, impacting structural performance. Concrete Occupied Area is denoted by A_c symbol.

How to calculate Area of Concrete Section given Prestress Drop using this online calculator? To use this online calculator for Area of Concrete Section given Prestress Drop, enter Modular Ratio for Elastic Shortening (m_Elastic), Prestress Force (P_B) & Prestress Drop (Δf_p) and hit the calculate button. Here is how the Area of Concrete Section given Prestress Drop calculation can be explained with given input values -> 12 = 0.6*200000/(10000000).

FAQ

What is Area of Concrete Section given Prestress Drop?

The Area of Concrete Section given Prestress Drop is defined as area of concrete section affected by prestress reduction due to relaxation or other factors, impacting structural performance and is represented as A_c = m_Elastic*P_B/(Δf_p) or Concrete Occupied Area = Modular Ratio for Elastic Shortening*Prestress Force/(Prestress Drop). 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, Prestress Force is the force acted on the tendon B if multiple tendons are used in a section & Prestress Drop is the drop in applied prestress force due to strain in tendons.

How to calculate Area of Concrete Section given Prestress Drop?

The Area of Concrete Section given Prestress Drop is defined as area of concrete section affected by prestress reduction due to relaxation or other factors, impacting structural performance is calculated using Concrete Occupied Area = Modular Ratio for Elastic Shortening*Prestress Force/(Prestress Drop). To calculate Area of Concrete Section given Prestress Drop, you need Modular Ratio for Elastic Shortening (m_Elastic), Prestress Force (P_B) & Prestress Drop (Δf_p). With our tool, you need to enter the respective value for Modular Ratio for Elastic Shortening, Prestress Force & Prestress Drop 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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