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External Moment with Known Compressive Stress Formula

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External Moment is the moment applied externally on the concrete section. Check FAQs

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

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

External Moment with Known Compressive Stress Example

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

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

Here is how the External Moment with Known Compressive Stress equation looks like.

4.0001 = 166.67 \cdot \frac{720000}{30}

4.0001kN*m = 166.67MPa \cdot \frac{720000mm⁴}{30mm}

4.0001 = 166.67 \cdot \frac{720000}{30}

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External Moment with Known Compressive Stress Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

M = 166.67MPa \cdot \frac{720000mm⁴}{30mm}

Next Step Convert Units

∴

M = 1.7E+8Pa \cdot \frac{7.2E-7m⁴}{30mm}

Next Step Prepare to Evaluate

∴

M = 1.7E+8 \cdot \frac{7.2E-7}{30}

Next Step Evaluate

∴

M = 4000.08N*m

Next Step Convert to Output's Unit

∴

M = 4.00008kN*m

LAST Step Rounding Answer

∴

M = 4.0001kN*m

External Moment with Known Compressive Stress Formula Elements

Variables

External Moment

External Moment is the moment applied externally on the concrete section.

Symbol: M

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find External Moment

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

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

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

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 Compressive Stress due to External Moment

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

How to Evaluate External Moment with Known Compressive Stress?

External Moment with Known Compressive Stress evaluator uses External Moment = Bending Stress in Section*Moment of Inertia of Section/Distance from Centroidal Axis to evaluate the External Moment, The External Moment with Known Compressive Stress is defined as moment produced due to extra loads on section or due to weight of beam over section. External Moment is denoted by M symbol.

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

FAQs on External Moment with Known Compressive Stress

What is the formula to find External Moment with Known Compressive Stress?

The formula of External Moment with Known Compressive Stress is expressed as External Moment = Bending Stress in Section*Moment of Inertia of Section/Distance from Centroidal Axis. Here is an example- 0.004 = 166670000*7.2E-07/0.03.

How to calculate External Moment with Known Compressive Stress?

With Bending Stress in Section (f), Moment of Inertia of Section (I_a) & Distance from Centroidal Axis (y) we can find External Moment with Known Compressive Stress using the formula - External Moment = Bending Stress in Section*Moment of Inertia of Section/Distance from Centroidal Axis.

Can the External Moment with Known Compressive Stress be negative?

No, the External Moment with Known Compressive Stress, measured in Moment of Force cannot be negative.

Which unit is used to measure External Moment with Known Compressive Stress?

External Moment with Known Compressive Stress is usually measured using the Kilonewton Meter[kN*m] for Moment of Force. Newton Meter[kN*m], Millinewton Meter[kN*m], Micronewton Meter[kN*m] are the few other units in which External Moment with Known Compressive Stress can be measured.

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External Moment with Known Compressive Stress Formula

External Moment with Known Compressive Stress Example

External Moment with Known Compressive Stress Solution

External Moment with Known Compressive Stress Formula Elements

Other formulas in General Principles of Prestressed Concrete category

How to Evaluate External Moment with Known Compressive Stress?

FAQs on External Moment with Known Compressive Stress

Variable Name