Prestressing Force given Uniform Load Calculator

✖Uniform Load is a load that is distributed or spread across the whole region of an element such as a beam or slab.ⓘ Uniform Load [w_b]			+10% -10%
✖Span Length is the end to end distance between any beam or slab.ⓘ Span Length [L]			+10% -10%
✖Sag Length of Cable is the length measured at Midway between Supports is vertical sag at midpoint of cable.ⓘ Sag Length of Cable [L_s]			+10% -10%

✖Prestressing Force is the force internally applied to the prestressed concrete section.ⓘ Prestressing Force given Uniform Load [F]

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Formula

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Prestressing Force given Uniform Load

Formula

`"F" = "w"_{"b"}*"L"^2/(8*"L"_{"s"})`

Example

`"384.6154kN"="0.64kN/m"*("5m")^2/(8*"5.2m")`

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Download General Principles of Prestressed Concrete Formulas PDF

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 = w_b*L^2/(8*L_s)
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 = w_b*L^2/(8*L_s) --> 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 00.004 seconds)

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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

Prestressing Force given Uniform Load Formula

Prestressing Force = Uniform Load*Span Length^2/(8*Sag Length of Cable)
F = w_b*L^2/(8*L_s)

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 (w_b), Span Length (L) & Sag Length of Cable (L_s) 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 = w_b*L^2/(8*L_s) 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 (w_b), Span Length (L) & Sag Length of Cable (L_s). 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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