Stress due to Prestress Moment Calculator

✖Prestressing Force is the force internally applied to the prestressed concrete section.ⓘ Prestressing Force [F]			+10% -10%
✖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.ⓘ Distance from Centroidal Geometric Axis [e]			+10% -10%
✖Distance from Centroidal Axis defines the distance from the extreme fiber of the concrete section to centroidal axis of the section.ⓘ Distance from Centroidal Axis [y]			+10% -10%
✖Moment of Inertia of section is defined as a property of a two-dimensional plane shape that characterizes its deflection under loading.ⓘ Moment of Inertia of Section [I_a]			+10% -10%

✖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.ⓘ Stress due to Prestress Moment [f]

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Formula

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Stress due to Prestress Moment

Formula

`"f" = "F"*"e"*"y"/"I"_{"a"}`

Example

`"83.5MPa"="400kN"*"5.01mm"*"30mm"/"720000mm⁴"`

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Stress due to Prestress Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Stress in Section = Prestressing Force*Distance from Centroidal Geometric Axis*Distance from Centroidal Axis/Moment of Inertia of Section
f = F*e*y/I_a
This formula uses 5 Variables

Variables Used

Bending Stress in Section - (Measured in Pascal) - 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.
Prestressing Force - (Measured in Newton) - Prestressing Force is the force internally applied to the prestressed concrete section.
Distance from Centroidal Geometric Axis - (Measured in Meter) - 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.
Distance from Centroidal Axis - (Measured in Meter) - Distance from Centroidal Axis defines the distance from the extreme fiber of the concrete section to centroidal axis of the section.
Moment of Inertia of Section - (Measured in Meter⁴) - Moment of Inertia of section is defined as a property of a two-dimensional plane shape that characterizes its deflection under loading.

STEP 1: Convert Input(s) to Base Unit

Prestressing Force: 400 Kilonewton --> 400000 Newton (Check conversion here)
Distance from Centroidal Geometric Axis: 5.01 Millimeter --> 0.00501 Meter (Check conversion here)
Distance from Centroidal Axis: 30 Millimeter --> 0.03 Meter (Check conversion here)
Moment of Inertia of Section: 720000 Millimeter⁴ --> 7.2E-07 Meter⁴ (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = F*e*y/I_a --> 400000*0.00501*0.03/7.2E-07

Evaluating ... ...

f = 83500000

STEP 3: Convert Result to Output's Unit

83500000 Pascal -->83.5 Megapascal (Check conversion here)

FINAL ANSWER

83.5 Megapascal <-- Bending Stress in Section

(Calculation completed in 00.004 seconds)

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NSS College of Engineering (NSSCE), Palakkad

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< 12 General Principles of Prestressed Concrete Calculators

Resulting Stress due to Moment and Prestress and Eccentric Strands

Go Compressive Stress in Prestress = Prestressing Force/Area of Beam Section+(External Moment*Distance from Centroidal Axis/Moment of Inertia of Section)+(Prestressing Force*Distance from Centroidal Geometric Axis*Distance from Centroidal Axis/Moment of Inertia of Section)

Resulting Stress due to Moment and Prestressing Force

Go Compressive Stress in Prestress = Prestressing Force/Area of Beam Section+(Bending Moment in Prestress*Distance from Centroidal Axis/Moment of Inertia of Section)

Stress due to Prestress Moment

Go Bending Stress in Section = Prestressing Force*Distance from Centroidal Geometric Axis*Distance from Centroidal Axis/Moment of Inertia of Section

Compressive Stress due to External Moment

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

Length of Span given Uniform Load

Go Span Length = sqrt(8*Sag Length of Cable*Prestressing Force/Uniform Load)

External Moment with Known Compressive Stress

Go External Moment = Bending Stress in Section*Moment of Inertia of Section/Distance from Centroidal Axis

Prestressing Force given Uniform Load

Go Prestressing Force = Uniform Load*Span Length^2/(8*Sag Length of Cable)

Sag of Parabola given Uniform Load

Go Sag Length of Cable = Uniform Load*Span Length^2/(8*Prestressing Force)

Upward Uniform Load using Load Balancing Method

Go Uniform Load = 8*Prestressing Force*Sag Length of Cable/Span Length^2

Cross Sectional Area given Compressive Stress

Go Area of Beam Section = Prestressing Force/Compressive Stress in Prestress

Uniform Compressive Stress due to Prestress

Go Compressive Stress in Prestress = Prestressing Force/Area of Beam Section

Prestressing Force given Compressive Stress

Go Prestressing Force = Area of Beam Section*Compressive Stress in Prestress

Stress due to Prestress Moment Formula

Bending Stress in Section = Prestressing Force*Distance from Centroidal Geometric Axis*Distance from Centroidal Axis/Moment of Inertia of Section
f = F*e*y/I_a

What is Unbonded Post Tensioning?

Unbonded post-tensioning differs from bonded post-tensioning by allowing the tendons permanent freedom of longitudinal movement relative to the concrete. This is most commonly achieved by encasing each individual tendon element within a plastic sheathing filled with a corrosion-inhibiting grease, usually lithium based. Anchorages at each end of the tendon transfer the tensioning force to the concrete, and are required to reliably perform this role for the life of the structure.

How to Calculate Stress due to Prestress Moment?

Stress due to Prestress Moment calculator uses Bending Stress in Section = Prestressing Force*Distance from Centroidal Geometric Axis*Distance from Centroidal Axis/Moment of Inertia of Section to calculate 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 calculate Stress due to Prestress Moment using this online calculator? To use this online calculator 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. Here is how the Stress due to Prestress Moment calculation can be explained with given input values -> 8.3E-5 = 400000*0.00501*0.03/7.2E-07.

FAQ

What is Stress due to Prestress Moment?

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 and is represented as f = F*e*y/I_a or Bending Stress in Section = Prestressing Force*Distance from Centroidal Geometric Axis*Distance from Centroidal Axis/Moment of Inertia of Section. Prestressing Force is the force internally applied to the prestressed concrete section, 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, Distance from Centroidal Axis defines the distance from the extreme fiber of the concrete section to centroidal axis of the section & Moment of Inertia of section is defined as a property of a two-dimensional plane shape that characterizes its deflection under loading.

How to calculate Stress due to Prestress Moment?

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 is calculated using Bending Stress in Section = Prestressing Force*Distance from Centroidal Geometric Axis*Distance from Centroidal Axis/Moment of Inertia of Section. To calculate Stress due to Prestress Moment, you need Prestressing Force (F), Distance from Centroidal Geometric Axis (e), Distance from Centroidal Axis (y) & Moment of Inertia of Section (I_a). With our tool, you need to enter the respective value for Prestressing Force, Distance from Centroidal Geometric Axis, Distance from Centroidal Axis & Moment of Inertia of Section and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Bending Stress in Section?

In this formula, Bending Stress in Section uses Prestressing Force, Distance from Centroidal Geometric Axis, Distance from Centroidal Axis & Moment of Inertia of Section. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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