Prestressing Force given Uniform Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Prestressing Force = Uniform Load*Span Length^2/(8*Sag Length of Cable)
F = wb*L^2/(8*Ls)
This formula uses 4 Variables
Variables Used
Prestressing Force - (Measured in Kilonewton) - Prestressing Force is the force internally applied to the prestressed concrete section.
Uniform Load - (Measured in Newton per Meter) - Uniform Load is a load that is distributed or spread across the whole region of an element such as a beam or slab.
Span Length - (Measured in Meter) - Span Length is the end to end distance between any beam or slab.
Sag Length of Cable - (Measured in Meter) - Sag Length of Cable is the length measured at Midway between Supports is vertical sag at midpoint of cable.
STEP 1: Convert Input(s) to Base Unit
Uniform Load: 0.64 Kilonewton per Meter --> 640 Newton per Meter (Check conversion ​here)
Span Length: 5 Meter --> 5 Meter No Conversion Required
Sag Length of Cable: 5.2 Meter --> 5.2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F = wb*L^2/(8*Ls) --> 640*5^2/(8*5.2)
Evaluating ... ...
F = 384.615384615385
STEP 3: Convert Result to Output's Unit
384615.384615385 Newton -->384.615384615385 Kilonewton (Check conversion ​here)
FINAL ANSWER
384.615384615385 384.6154 Kilonewton <-- Prestressing Force
(Calculation completed in 00.020 seconds)

Credits

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NSS College of Engineering (NSSCE), Palakkad
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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

Prestressing Force given Uniform Load Formula

​LaTeX ​Go
Prestressing Force = Uniform Load*Span Length^2/(8*Sag Length of Cable)
F = wb*L^2/(8*Ls)

What are the Advantage of Load Balancing Technique?

Designing a prestressed member by balancing dead load will provide a more efficient design that is also safe. Creating a uniform compression force of the concrete member under dead load is the goal for the load balancing method. Uniform prestressing forces necessary for the load balancing will greatly reduce the amounts of end cracking, control camber and deflection, and limit the waste of material.

How to Calculate Prestressing Force given Uniform Load?

Prestressing Force given Uniform Load calculator uses Prestressing Force = Uniform Load*Span Length^2/(8*Sag Length of Cable) to calculate the Prestressing Force, The Prestressing Force given Uniform Load is force directly acted on prestressed member on cross sectional area of section considered. Prestressing Force is denoted by F symbol.

How to calculate Prestressing Force given Uniform Load using this online calculator? To use this online calculator for Prestressing Force given Uniform Load, enter Uniform Load (wb), Span Length (L) & Sag Length of Cable (Ls) and hit the calculate button. Here is how the Prestressing Force given Uniform Load calculation can be explained with given input values -> 0.4 = 640*5^2/(8*5.2).

FAQ

What is Prestressing Force given Uniform Load?
The Prestressing Force given Uniform Load is force directly acted on prestressed member on cross sectional area of section considered and is represented as F = wb*L^2/(8*Ls) or Prestressing Force = Uniform Load*Span Length^2/(8*Sag Length of Cable). Uniform Load is a load that is distributed or spread across the whole region of an element such as a beam or slab, Span Length is the end to end distance between any beam or slab & Sag Length of Cable is the length measured at Midway between Supports is vertical sag at midpoint of cable.
How to calculate Prestressing Force given Uniform Load?
The Prestressing Force given Uniform Load is force directly acted on prestressed member on cross sectional area of section considered is calculated using Prestressing Force = Uniform Load*Span Length^2/(8*Sag Length of Cable). To calculate Prestressing Force given Uniform Load, you need Uniform Load (wb), Span Length (L) & Sag Length of Cable (Ls). With our tool, you need to enter the respective value for Uniform Load, Span Length & Sag Length of Cable 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 Uniform Load, Span Length & Sag Length of Cable. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Prestressing Force = Area of Beam Section*Compressive Stress in Prestress
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