Resulting Stress due to Moment and Prestressing Force 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%
✖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.ⓘ Bending Moment in Prestress [M_b]			+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%

✖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 Prestressing Force [σ_c]

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Resulting Stress due to Moment and Prestressing Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Compressive Stress in Prestress = Prestressing Force/Area of Beam Section+(Bending Moment in Prestress*Distance from Centroidal Axis/Moment of Inertia of Section)
σ_c = F/A+(M_b*y/I_a)
This formula uses 6 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.
Bending Moment in Prestress - (Measured in Kilonewton Meter) - 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.
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.

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
Bending Moment in Prestress: 4 Kilonewton Meter --> 4 Kilonewton Meter No Conversion Required
Distance from Centroidal Axis: 30 Millimeter --> 0.03 Meter (Check conversion here)
Moment of Inertia of Section: 720000 Millimeter⁴ --> 720000 Millimeter⁴ No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_c = F/A+(M_b*y/I_a) --> 400/200+(4*0.03/720000)

Evaluating ... ...

σ_c = 2.00000016666667

STEP 3: Convert Result to Output's Unit

2.00000016666667 Pascal --> No Conversion Required

FINAL ANSWER

2.00000016666667 ≈ 2 Pascal <-- Compressive Stress in Prestress

(Calculation completed in 00.004 seconds)

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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 Prestressing Force Formula

LaTeX Go

Compressive Stress in Prestress = Prestressing Force/Area of Beam Section+(Bending Moment in Prestress*Distance from Centroidal Axis/Moment of Inertia of Section)
σ_c = F/A+(M_b*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 Resulting Stress due to Moment and Prestressing Force?

Resulting Stress due to Moment and Prestressing Force calculator uses Compressive Stress in Prestress = Prestressing Force/Area of Beam Section+(Bending Moment in Prestress*Distance from Centroidal Axis/Moment of Inertia of Section) to calculate the Compressive Stress in Prestress, The Resulting Stress due to Moment and Prestressing Force is defined as the combined effect of both axial load and flexural loading on the section. the moment can be clockwise or anticlockwise and hence used with proper sign convention. Compressive Stress in Prestress is denoted by σ_c symbol.

How to calculate Resulting Stress due to Moment and Prestressing Force using this online calculator? To use this online calculator for Resulting Stress due to Moment and Prestressing Force, enter Prestressing Force (F), Area of Beam Section (A), Bending Moment in Prestress (M_b), Distance from Centroidal Axis (y) & Moment of Inertia of Section (I_a) and hit the calculate button. Here is how the Resulting Stress due to Moment and Prestressing Force calculation can be explained with given input values -> 2 = 400000/0.0002+(4000*0.03/7.2E-07).

FAQ

What is Resulting Stress due to Moment and Prestressing Force?

The Resulting Stress due to Moment and Prestressing Force is defined as the combined effect of both axial load and flexural loading on the section. the moment can be clockwise or anticlockwise and hence used with proper sign convention and is represented as σ_c = F/A+(M_b*y/I_a) or Compressive Stress in Prestress = Prestressing Force/Area of Beam Section+(Bending Moment in Prestress*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, 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, 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 Resulting Stress due to Moment and Prestressing Force?

The Resulting Stress due to Moment and Prestressing Force is defined as the combined effect of both axial load and flexural loading on the section. the moment can be clockwise or anticlockwise and hence used with proper sign convention is calculated using Compressive Stress in Prestress = Prestressing Force/Area of Beam Section+(Bending Moment in Prestress*Distance from Centroidal Axis/Moment of Inertia of Section). To calculate Resulting Stress due to Moment and Prestressing Force, you need Prestressing Force (F), Area of Beam Section (A), Bending Moment in Prestress (M_b), 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, Area of Beam Section, Bending Moment in Prestress, 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 Compressive Stress in Prestress?

In this formula, Compressive Stress in Prestress uses Prestressing Force, Area of Beam Section, Bending Moment in Prestress, Distance from Centroidal Axis & Moment of Inertia of 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
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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