Uniform Compressive Stress due to Prestress Calculator

✖Prestressing Force is the force internally applied to the prestressed concrete section.ⓘ Prestressing Force [F]			+10% -10%
✖Area of Beam Section here refers to the area of cross section of the concrete section where the prestressing force was applied.ⓘ Area of Beam Section [A]			+10% -10%

✖Compressive Stress in Prestress is the force that is responsible for the deformation of the material such that the volume of the material reduces.ⓘ Uniform Compressive Stress due to Prestress [σ_c]

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Uniform Compressive Stress due to Prestress

Formula

`"σ"_{"c"} = "F"/"A"`

Example

`"2Pa"="400kN"/"200mm²"`

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Download General Principles of Prestressed Concrete Formulas PDF

Uniform Compressive Stress due to Prestress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Compressive Stress in Prestress = Prestressing Force/Area of Beam Section
σ_c = F/A
This formula uses 3 Variables

Variables Used

Compressive Stress in Prestress - (Measured in Pascal) - Compressive Stress in Prestress is the force that is responsible for the deformation of the material such that the volume of the material reduces.
Prestressing Force - (Measured in Kilonewton) - Prestressing Force is the force internally applied to the prestressed concrete section.
Area of Beam Section - (Measured in Square Millimeter) - Area of Beam Section here refers to the area of cross section of the concrete section where the prestressing force was applied.

STEP 1: Convert Input(s) to Base Unit

Prestressing Force: 400 Kilonewton --> 400 Kilonewton No Conversion Required
Area of Beam Section: 200 Square Millimeter --> 200 Square Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_c = F/A --> 400/200

Evaluating ... ...

σ_c = 2

STEP 3: Convert Result to Output's Unit

2 Pascal --> No Conversion Required

FINAL ANSWER

2 Pascal <-- Compressive Stress in Prestress

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

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

Uniform Compressive Stress due to Prestress Formula

Compressive Stress in Prestress = Prestressing Force/Area of Beam Section
σ_c = F/A

What is Prestressed Concrete?

Prestressed concrete is a form of concrete used in construction. It is substantially "prestressed" (compressed) during production, in a manner that strengthens it against tensile forces which will exist when in service.

How to Calculate Uniform Compressive Stress due to Prestress?

Uniform Compressive Stress due to Prestress calculator uses Compressive Stress in Prestress = Prestressing Force/Area of Beam Section to calculate the Compressive Stress in Prestress, The Uniform Compressive Stress due to Prestress is defined as the stress formed in the prestressed concrete section due to prestressing force. Compressive Stress in Prestress is denoted by σ_c symbol.

How to calculate Uniform Compressive Stress due to Prestress using this online calculator? To use this online calculator for Uniform Compressive Stress due to Prestress, enter Prestressing Force (F) & Area of Beam Section (A) and hit the calculate button. Here is how the Uniform Compressive Stress due to Prestress calculation can be explained with given input values -> 2 = 400000/0.0002.

FAQ

What is Uniform Compressive Stress due to Prestress?

The Uniform Compressive Stress due to Prestress is defined as the stress formed in the prestressed concrete section due to prestressing force and is represented as σ_c = F/A or Compressive Stress in Prestress = Prestressing Force/Area of Beam Section. Prestressing Force is the force internally applied to the prestressed concrete section & Area of Beam Section here refers to the area of cross section of the concrete section where the prestressing force was applied.

How to calculate Uniform Compressive Stress due to Prestress?

The Uniform Compressive Stress due to Prestress is defined as the stress formed in the prestressed concrete section due to prestressing force is calculated using Compressive Stress in Prestress = Prestressing Force/Area of Beam Section. To calculate Uniform Compressive Stress due to Prestress, you need Prestressing Force (F) & Area of Beam Section (A). With our tool, you need to enter the respective value for Prestressing Force & Area of Beam 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 Compressive Stress in Prestress?

In this formula, Compressive Stress in Prestress uses Prestressing Force & Area of Beam Section. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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