Modular Ratio given Prestress after Immediate Loss Calculator

✖Drop in Prestress is the drop in applied prestress force due to strain in tendons.ⓘ Drop in Prestress [Δf_Drop]			+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%
✖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%

✖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 given Prestress after Immediate Loss [m_Elastic]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Loss due to Elastic Shortening Formulas PDF PDF Image

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
m_Elastic = Δf_Drop*A_{Pre tension}/P_o
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

m_Elastic = Δf_Drop*A_{Pre tension}/P_o --> 20000*12/96000

Evaluating ... ...

m_Elastic = 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)

You are here -

Home » Engineering » Civil » Structural Engineering » Prestressed Concrete » Losses of Prestress » Loss due to Elastic Shortening » Pre Tensioned Members » Modular Ratio given Prestress after Immediate Loss

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!

< 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

Modular Ratio given Prestress after Immediate Loss Formula

LaTeX Go

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

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 m_Elastic 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 (Δf_Drop), Pre-Tensioned Area of Concrete (A_{Pre tension}) & Prestressing Force after Loss (P_o) 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 m_Elastic = Δf_Drop*A_{Pre tension}/P_o 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 (Δf_Drop), Pre-Tensioned Area of Concrete (A_{Pre tension}) & Prestressing Force after Loss (P_o). 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.

Home

FREE PDFs

🔍 Search