Cross Sectional Area given Compressive Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Beam Section = Prestressing Force/Compressive Stress in Prestress
A = F/σc
This formula uses 3 Variables
Variables Used
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.
Prestressing Force - (Measured in Kilonewton) - Prestressing Force is the force internally applied to the prestressed concrete section.
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.
STEP 1: Convert Input(s) to Base Unit
Prestressing Force: 400 Kilonewton --> 400 Kilonewton No Conversion Required
Compressive Stress in Prestress: 2 Pascal --> 2 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = F/σc --> 400/2
Evaluating ... ...
A = 200
STEP 3: Convert Result to Output's Unit
0.0002 Square Meter -->200 Square Millimeter (Check conversion here)
FINAL ANSWER
200 Square Millimeter <-- Area of Beam Section
(Calculation completed in 00.004 seconds)

Credits

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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

Cross Sectional Area given Compressive Stress Formula

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

What are the two Types of Internal Prestressing methods?

Pre-tensioning and post-tensioning. Pre-tensioned concrete is a variant of prestressed concrete where the tendons are tensioned prior to the concrete being cast. Post-tensioned concrete is a variant of prestressed concrete where the tendons are tensioned after the surrounding concrete structure has been cast.

How to Calculate Cross Sectional Area given Compressive Stress?

Cross Sectional Area given Compressive Stress calculator uses Area of Beam Section = Prestressing Force/Compressive Stress in Prestress to calculate the Area of Beam Section, Cross Sectional Area given Compressive Stress is product of width and depth of prestressed section. Area of Beam Section is denoted by A symbol.

How to calculate Cross Sectional Area given Compressive Stress using this online calculator? To use this online calculator for Cross Sectional Area given Compressive Stress, enter Prestressing Force (F) & Compressive Stress in Prestress c) and hit the calculate button. Here is how the Cross Sectional Area given Compressive Stress calculation can be explained with given input values -> 1.1E+8 = 400000/2.

FAQ

What is Cross Sectional Area given Compressive Stress?
Cross Sectional Area given Compressive Stress is product of width and depth of prestressed section and is represented as A = F/σc or Area of Beam Section = Prestressing Force/Compressive Stress in Prestress. Prestressing Force is the force internally applied to the prestressed concrete section & Compressive Stress in Prestress is the force that is responsible for the deformation of the material such that the volume of the material reduces.
How to calculate Cross Sectional Area given Compressive Stress?
Cross Sectional Area given Compressive Stress is product of width and depth of prestressed section is calculated using Area of Beam Section = Prestressing Force/Compressive Stress in Prestress. To calculate Cross Sectional Area given Compressive Stress, you need Prestressing Force (F) & Compressive Stress in Prestress c). With our tool, you need to enter the respective value for Prestressing Force & Compressive Stress in Prestress and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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