Prestressing Force given Compressive Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Prestressing Force = Area of Beam Section*Compressive Stress in Prestress
F = A*σc
This formula uses 3 Variables
Variables Used
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.
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
Area of Beam Section: 200 Square Millimeter --> 200 Square Millimeter No Conversion Required
Compressive Stress in Prestress: 2 Pascal --> 2 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F = A*σc --> 200*2
Evaluating ... ...
F = 400
STEP 3: Convert Result to Output's Unit
400000 Newton -->400 Kilonewton (Check conversion here)
FINAL ANSWER
400 Kilonewton <-- Prestressing Force
(Calculation completed in 00.004 seconds)

Credits

Created by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has created this Calculator and 500+ more calculators!
Verified by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has verified this Calculator and 700+ more calculators!

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

Prestressing Force given Compressive Stress Formula

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

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 Prestressing Force given Compressive Stress?

Prestressing Force given Compressive Stress calculator uses Prestressing Force = Area of Beam Section*Compressive Stress in Prestress to calculate the Prestressing Force, The Prestressing Force given Compressive Stress is defined as force acting on concrete section due to prestressing. It is compressive in nature. Prestressing Force is denoted by F symbol.

How to calculate Prestressing Force given Compressive Stress using this online calculator? To use this online calculator for Prestressing Force given Compressive Stress, enter Area of Beam Section (A) & Compressive Stress in Prestress c) and hit the calculate button. Here is how the Prestressing Force given Compressive Stress calculation can be explained with given input values -> 4E-7 = 0.0002*2.

FAQ

What is Prestressing Force given Compressive Stress?
The Prestressing Force given Compressive Stress is defined as force acting on concrete section due to prestressing. It is compressive in nature and is represented as F = A*σc or Prestressing Force = Area of Beam Section*Compressive Stress in Prestress. Area of Beam Section here refers to the area of cross section of the concrete section where the prestressing force was applied & 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 Prestressing Force given Compressive Stress?
The Prestressing Force given Compressive Stress is defined as force acting on concrete section due to prestressing. It is compressive in nature is calculated using Prestressing Force = Area of Beam Section*Compressive Stress in Prestress. To calculate Prestressing Force given Compressive Stress, you need Area of Beam Section (A) & Compressive Stress in Prestress c). With our tool, you need to enter the respective value for Area of Beam Section & 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.
How many ways are there to calculate Prestressing Force?
In this formula, Prestressing Force uses Area of Beam Section & Compressive Stress in Prestress. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Prestressing Force = Uniform Load*Span Length^2/(8*Sag Length of Cable)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!