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Compressive Stress due to External Moment Formula

GoStress due to Prestress 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 = M b \cdot (\frac{y}{I a})

f - Bending Stress in Section?M_b - Bending Moment in Prestress?y - Distance from Centroidal Axis?I_a - Moment of Inertia of Section?

Compressive Stress due to External Moment Example

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

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

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

166.6667 = 4 \cdot (\frac{30}{720000})

166.6667MPa = 4kN*m \cdot (\frac{30mm}{720000mm⁴})

166.6667 = 4 \cdot (\frac{30}{720000})

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Compressive Stress due to External Moment Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f = 4kN*m \cdot (\frac{30mm}{720000mm⁴})

Next Step Convert Units

∴

f = 4000N*m \cdot (\frac{0.03m}{7.2E-7m⁴})

Next Step Prepare to Evaluate

∴

f = 4000 \cdot (\frac{0.03}{7.2E-7})

Next Step Evaluate

∴

f = 166666666.666667Pa

Next Step Convert to Output's Unit

∴

f = 166.666666666667MPa

LAST Step Rounding Answer

∴

f = 166.6667MPa

Compressive Stress due to External 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

Bending Moment in Prestress

The Bending Moment in Prestress is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.

Symbol: M_b

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Bending Moment in Prestress

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 Stress due to Prestress Moment

f = F \cdot e \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 Compressive Stress due to External Moment?

Compressive Stress due to External Moment evaluator uses Bending Stress in Section = Bending Moment in Prestress*(Distance from Centroidal Axis/Moment of Inertia of Section) to evaluate the Bending Stress in Section, The Compressive Stress due to External Moment is defined when the concrete section is subjected to an external moment M due to load or weight on beam. Bending Stress in Section is denoted by f symbol.

How to evaluate Compressive Stress due to External Moment using this online evaluator? To use this online evaluator for Compressive Stress due to External Moment, enter Bending Moment in Prestress (M_b), Distance from Centroidal Axis (y) & Moment of Inertia of Section (I_a) and hit the calculate button.

FAQs on Compressive Stress due to External Moment

What is the formula to find Compressive Stress due to External Moment?

The formula of Compressive Stress due to External Moment is expressed as Bending Stress in Section = Bending Moment in Prestress*(Distance from Centroidal Axis/Moment of Inertia of Section). Here is an example- 0.000167 = 4000*(0.03/7.2E-07).

How to calculate Compressive Stress due to External Moment?

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

Can the Compressive Stress due to External Moment be negative?

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

Which unit is used to measure Compressive Stress due to External Moment?

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

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Compressive Stress due to External Moment Formula

​GoStress due to Prestress Moment Formula

Compressive Stress due to External Moment Example

Compressive Stress due to External Moment Solution

Compressive Stress due to External Moment Formula Elements

Other Formulas to find Bending Stress in Section

Other formulas in General Principles of Prestressed Concrete category

How to Evaluate Compressive Stress due to External Moment?

FAQs on Compressive Stress due to External Moment

Variable Name

GoStress due to Prestress Moment Formula