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Modular Ratio given Prestress after Immediate Loss Formula

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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. Check FAQs

m Elastic = Δf Drop \cdot \frac{A Pre tension}{P o}

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

Modular Ratio given Prestress after Immediate Loss Example

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Here is how the Modular Ratio given Prestress after Immediate Loss equation looks like with Values.

Here is how the Modular Ratio given Prestress after Immediate Loss equation looks like with Units.

Here is how the Modular Ratio given Prestress after Immediate Loss equation looks like.

2.5 = 0.02 \cdot \frac{12}{96000}

2.5 = 0.02MPa \cdot \frac{12mm²}{96000kN}

2.5 = 0.02 \cdot \frac{12}{96000}

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Modular Ratio given Prestress after Immediate Loss Solution

Follow our step by step solution on how to calculate Modular Ratio given Prestress after Immediate Loss?

FIRST Step Consider the formula

m Elastic = Δf Drop \cdot \frac{A Pre tension}{P o}

Next Step Substitute values of Variables

∴

m Elastic = 0.02MPa \cdot \frac{12mm²}{96000kN}

Next Step Convert Units

∴

m Elastic = 20000Pa \cdot \frac{12mm²}{96000kN}

Next Step Prepare to Evaluate

∴

m Elastic = 20000 \cdot \frac{12}{96000}

LAST Step Evaluate

∴

m Elastic = 2.5

Modular Ratio given Prestress after Immediate Loss Formula Elements

Variables

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.

Symbol: m_Elastic

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Modular Ratio for Elastic Shortening

Drop in Prestress

Drop in Prestress is the drop in applied prestress force due to strain in tendons.

Symbol: Δf_Drop

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Drop in Prestress

Pre-Tensioned Area of Concrete

Pre-Tensioned Area of Concrete is a construction method where steel tendons are stressed before pouring concrete, enhancing structural strength.

Symbol: A_{Pre tension}

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Pre-Tensioned Area of Concrete

Prestressing Force after Loss

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.

Symbol: P_o

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Prestressing Force after Loss

Other formulas in Pre Tensioned Members category

Go Prestress Drop given Pressure after Immediate Loss

Δf Drop = (\frac{P o}{A Pre tension}) \cdot m Elastic

Go Prestressing Force after Immediate Loss given Initial Prestress

P o = P i \cdot \frac{A Pre tension}{A Pretension}

Go Initial Prestress given Prestress after Immediate Loss

P i = P o \cdot \frac{A Pretension}{A Pre tension}

Go Initial Strain in Steel for Known Strain due to Elastic Shortening

ε pi = ε c + ε po

How to Evaluate Modular Ratio given Prestress after Immediate Loss?

Modular Ratio given Prestress after Immediate Loss evaluator uses Modular Ratio for Elastic Shortening = Drop in Prestress*Pre-Tensioned Area of Concrete/Prestressing Force after Loss to evaluate 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 evaluate Modular Ratio given Prestress after Immediate Loss using this online evaluator? To use this online evaluator 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.

FAQs on Modular Ratio given Prestress after Immediate Loss

What is the formula to find Modular Ratio given Prestress after Immediate Loss?

The formula of Modular Ratio given Prestress after Immediate Loss is expressed as Modular Ratio for Elastic Shortening = Drop in Prestress*Pre-Tensioned Area of Concrete/Prestressing Force after Loss. Here is an example- 2.5 = 20000*1.2E-05/96000000.

How to calculate Modular Ratio given Prestress after Immediate Loss?

With Drop in Prestress (Δf_Drop), Pre-Tensioned Area of Concrete (A_{Pre tension}) & Prestressing Force after Loss (P_o) we can find Modular Ratio given Prestress after Immediate Loss using the formula - Modular Ratio for Elastic Shortening = Drop in Prestress*Pre-Tensioned Area of Concrete/Prestressing Force after Loss.

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Modular Ratio given Prestress after Immediate Loss Formula

Modular Ratio given Prestress after Immediate Loss Example

Modular Ratio given Prestress after Immediate Loss Solution

Modular Ratio given Prestress after Immediate Loss Formula Elements

Other formulas in Pre Tensioned Members category

How to Evaluate Modular Ratio given Prestress after Immediate Loss?

FAQs on Modular Ratio given Prestress after Immediate Loss

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