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Stress due to Prestress Moment Formula

GoCompressive Stress due to External Moment Formula

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Bending Stress in Section in the prestressed concrete section is the internal resistance of the section. Here it can be due to axial force, moment and eccentric load. Check FAQs

f = F \cdot e \cdot \frac{y}{I a}

f - Bending Stress in Section?F - Prestressing Force?e - Distance from Centroidal Geometric Axis?y - Distance from Centroidal Axis?I_a - Moment of Inertia of Section?

Stress due to Prestress Moment Example

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Here is how the Stress due to Prestress Moment equation looks like with Values.

Here is how the Stress due to Prestress Moment equation looks like with Units.

Here is how the Stress due to Prestress Moment equation looks like.

83.5 = 400 \cdot 5.01 \cdot \frac{30}{720000}

83.5MPa = 400kN \cdot 5.01mm \cdot \frac{30mm}{720000mm⁴}

83.5 = 400 \cdot 5.01 \cdot \frac{30}{720000}

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Stress due to Prestress Moment Solution

Follow our step by step solution on how to calculate Stress due to Prestress Moment?

FIRST Step Consider the formula

f = F \cdot e \cdot \frac{y}{I a}

Next Step Substitute values of Variables

∴

f = 400kN \cdot 5.01mm \cdot \frac{30mm}{720000mm⁴}

Next Step Convert Units

∴

f = 400000N \cdot 0.005m \cdot \frac{0.03m}{7.2E-7m⁴}

Next Step Prepare to Evaluate

∴

f = 400000 \cdot 0.005 \cdot \frac{0.03}{7.2E-7}

Next Step Evaluate

∴

f = 83500000Pa

LAST Step Convert to Output's Unit

∴

f = 83.5MPa

Stress due to Prestress Moment Formula Elements

Variables

Bending Stress in Section

Bending Stress in Section in the prestressed concrete section is the internal resistance of the section. Here it can be due to axial force, moment and eccentric load.

Symbol: f

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Bending Stress in Section

Prestressing Force

Prestressing Force is the force internally applied to the prestressed concrete section.

Symbol: F

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Prestressing Force

Distance from Centroidal Geometric Axis

Distance from Centroidal Geometric Axis is the distance at which the prestressing force is acted on section when the tendons are placed in some other point above or below the centroidal axis.

Symbol: e

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Centroidal Geometric Axis

Distance from Centroidal Axis

Distance from Centroidal Axis defines the distance from the extreme fiber of the concrete section to centroidal axis of the section.

Symbol: y

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Centroidal Axis

Moment of Inertia of Section

Moment of Inertia of section is defined as a property of a two-dimensional plane shape that characterizes its deflection under loading.

Symbol: I_a

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia of Section

Other Formulas to find Bending Stress in Section

Go Compressive Stress due to External Moment

f = M b \cdot (\frac{y}{I a})

Other formulas in General Principles of Prestressed Concrete category

Go Uniform Compressive Stress due to Prestress

σ c = \frac{F}{A}

Go Prestressing Force given Compressive Stress

F = A \cdot σ c

Go Cross Sectional Area given Compressive Stress

A = \frac{F}{σ c}

Go External Moment with Known Compressive Stress

M = f \cdot \frac{I a}{y}

How to Evaluate Stress due to Prestress Moment?

Stress due to Prestress Moment evaluator uses Bending Stress in Section = Prestressing Force*Distance from Centroidal Geometric Axis*Distance from Centroidal Axis/Moment of Inertia of Section to evaluate the Bending Stress in Section, The Stress due to Prestress Moment is defined as the stress produced due to the eccentric placement of the strands or tendons on the section. Bending Stress in Section is denoted by f symbol.

How to evaluate Stress due to Prestress Moment using this online evaluator? To use this online evaluator for Stress due to Prestress Moment, enter Prestressing Force (F), Distance from Centroidal Geometric Axis (e), Distance from Centroidal Axis (y) & Moment of Inertia of Section (I_a) and hit the calculate button.

FAQs on Stress due to Prestress Moment

What is the formula to find Stress due to Prestress Moment?

The formula of Stress due to Prestress Moment is expressed as Bending Stress in Section = Prestressing Force*Distance from Centroidal Geometric Axis*Distance from Centroidal Axis/Moment of Inertia of Section. Here is an example- 8.3E-5 = 400000*0.00501*0.03/7.2E-07.

How to calculate Stress due to Prestress Moment?

With Prestressing Force (F), Distance from Centroidal Geometric Axis (e), Distance from Centroidal Axis (y) & Moment of Inertia of Section (I_a) we can find Stress due to Prestress Moment using the formula - Bending Stress in Section = Prestressing Force*Distance from Centroidal Geometric Axis*Distance from Centroidal Axis/Moment of Inertia of Section.

What are the other ways to Calculate Bending Stress in Section?

Here are the different ways to Calculate Bending Stress in Section-

Bending Stress in Section=Bending Moment in Prestress*(Distance from Centroidal Axis/Moment of Inertia of Section)

Can the Stress due to Prestress Moment be negative?

No, the Stress due to Prestress Moment, measured in Pressure cannot be negative.

Which unit is used to measure Stress due to Prestress Moment?

Stress due to Prestress Moment is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Stress due to Prestress Moment can be measured.

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Stress due to Prestress Moment Formula

​GoCompressive Stress due to External Moment Formula

Stress due to Prestress Moment Example

Stress due to Prestress Moment Solution

Stress due to Prestress Moment Formula Elements

Other Formulas to find Bending Stress in Section

Other formulas in General Principles of Prestressed Concrete category

How to Evaluate Stress due to Prestress Moment?

FAQs on Stress due to Prestress Moment

Variable Name

GoCompressive Stress due to External Moment Formula