Resulting Stress due to Moment and Prestress and Eccentric Strands 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%
✖External Moment is the moment applied externally on the concrete section.ⓘ External Moment [M]			+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%
✖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%

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

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Resulting Stress due to Moment and Prestress and Eccentric Strands Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
σ_c = F/A+(M*y/I_a)+(F*e*y/I_a)
This formula uses 7 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.
External Moment - (Measured in Newton Meter) - External Moment is the moment applied externally on the concrete section.
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 Millimeter⁴) - Moment of Inertia of section is defined as a property of a two-dimensional plane shape that characterizes its deflection under loading.
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.

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
External Moment: 20 Kilonewton Meter --> 20000 Newton Meter (Check conversion here)
Distance from Centroidal Axis: 30 Millimeter --> 0.03 Meter (Check conversion here)
Moment of Inertia of Section: 720000 Millimeter⁴ --> 720000 Millimeter⁴ No Conversion Required
Distance from Centroidal Geometric Axis: 5.01 Millimeter --> 0.00501 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_c = F/A+(M*y/I_a)+(F*e*y/I_a) --> 400/200+(20000*0.03/720000)+(400*0.00501*0.03/720000)

Evaluating ... ...

σ_c = 2.00083341683333

STEP 3: Convert Result to Output's Unit

2.00083341683333 Pascal --> No Conversion Required

FINAL ANSWER

2.00083341683333 ≈ 2.000833 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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Coorg Institute of Technology (CIT), Coorg

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< General Principles of Prestressed Concrete Calculators

Compressive Stress due to External Moment

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

Cross Sectional Area given Compressive Stress

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

Uniform Compressive Stress due to Prestress

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

Prestressing Force given Compressive Stress

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

Resulting Stress due to Moment and Prestress and Eccentric Strands Formula

LaTeX Go

What is the advantage of Prestressed Members?

The essence of prestressed concrete is that once the initial compression has been applied, the resulting material has the characteristics of high-strength concrete when subject to any subsequent compression forces and of ductile high-strength steel when subject to tension forces. This can result in improved structural capacity and/or serviceability compared with conventionally reinforced concrete in many situations.

How to Calculate Resulting Stress due to Moment and Prestress and Eccentric Strands?

Resulting Stress due to Moment and Prestress and Eccentric Strands calculator uses 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) to calculate the Compressive Stress in Prestress, The Resulting Stress due to Moment and Prestress and Eccentric Strands is defined as the overall stress caused on the prestressed section due to all three effects, say, axial, flexural and eccentric loads. Since the moment can be compressive and tensile, the sign conventions need to be used. Compressive Stress in Prestress is denoted by σ_c symbol.

How to calculate Resulting Stress due to Moment and Prestress and Eccentric Strands using this online calculator? To use this online calculator for Resulting Stress due to Moment and Prestress and Eccentric Strands, enter Prestressing Force (F), Area of Beam Section (A), External Moment (M), Distance from Centroidal Axis (y), Moment of Inertia of Section (I_a) & Distance from Centroidal Geometric Axis (e) and hit the calculate button. Here is how the Resulting Stress due to Moment and Prestress and Eccentric Strands calculation can be explained with given input values -> 2.000833 = 400000/0.0002+(20000*0.03/7.2E-07)+(400000*0.00501*0.03/7.2E-07).

FAQ

What is Resulting Stress due to Moment and Prestress and Eccentric Strands?

The Resulting Stress due to Moment and Prestress and Eccentric Strands is defined as the overall stress caused on the prestressed section due to all three effects, say, axial, flexural and eccentric loads. Since the moment can be compressive and tensile, the sign conventions need to be used and is represented as σ_c = F/A+(M*y/I_a)+(F*e*y/I_a) or 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). 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, External Moment is the moment applied externally on the concrete section, 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 & 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.

How to calculate Resulting Stress due to Moment and Prestress and Eccentric Strands?

The Resulting Stress due to Moment and Prestress and Eccentric Strands is defined as the overall stress caused on the prestressed section due to all three effects, say, axial, flexural and eccentric loads. Since the moment can be compressive and tensile, the sign conventions need to be used is calculated using 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). To calculate Resulting Stress due to Moment and Prestress and Eccentric Strands, you need Prestressing Force (F), Area of Beam Section (A), External Moment (M), Distance from Centroidal Axis (y), Moment of Inertia of Section (I_a) & Distance from Centroidal Geometric Axis (e). With our tool, you need to enter the respective value for Prestressing Force, Area of Beam Section, External Moment, Distance from Centroidal Axis, Moment of Inertia of Section & Distance from Centroidal Geometric Axis 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, External Moment, Distance from Centroidal Axis, Moment of Inertia of Section & Distance from Centroidal Geometric Axis. 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
Compressive Stress in Prestress = Prestressing Force/Area of Beam Section+(Bending Moment in Prestress*Distance from Centroidal Axis/Moment of Inertia of Section)

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