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/Ia
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/Ia --> 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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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

Stress due to Prestress Moment Formula

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

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 (Ia) 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/Ia 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 (Ia). 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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