Length of Span given Uniform Load Calculator

✖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 [F]			+10% -10%
✖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.ⓘ Length of Span given Uniform Load [L]

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Length of Span given Uniform Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Span Length = sqrt(8*Sag Length of Cable*Prestressing Force/Uniform Load)
L = sqrt(8*L_s*F/w_b)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Sag Length of Cable: 5.2 Meter --> 5.2 Meter No Conversion Required
Prestressing Force: 400 Kilonewton --> 400 Kilonewton No Conversion Required
Uniform Load: 0.64 Kilonewton per Meter --> 640 Newton per Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = sqrt(8*L_s*F/w_b) --> sqrt(8*5.2*400/640)

Evaluating ... ...

L = 5.09901951359278

STEP 3: Convert Result to Output's Unit

5.09901951359278 Meter --> No Conversion Required

FINAL ANSWER

5.09901951359278 ≈ 5.09902 Meter <-- Span Length

(Calculation completed in 00.020 seconds)

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< General Principles of Prestressed Concrete Calculators

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Uniform Compressive Stress due to Prestress

LaTeX Go Compressive Stress in Prestress = Prestressing Force/Area of Beam Section

Prestressing Force given Compressive Stress

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Length of Span given Uniform Load Formula

LaTeX Go

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

What are the different terms used for Prestressing Steels?

Wires : Prestressing wire is a single unit made of steel.
Strands: Two, three or seven wires are wound to form a prestressing strand.
Tendon: A group of strands or wires are wound to form a prestressing tendon.
Cable: A group of tendons form a prestressing cable.
Bars: A tendon can be made up of a single steel bar. The diameter of a bar is much
larger than that of a wire.

How to Calculate Length of Span given Uniform Load?

Length of Span given Uniform Load calculator uses Span Length = sqrt(8*Sag Length of Cable*Prestressing Force/Uniform Load) to calculate the Span Length, The Length of Span given Uniform Load is defined as end to end distance between beam or slab when supported using two end supports. Span Length is denoted by L symbol.

How to calculate Length of Span given Uniform Load using this online calculator? To use this online calculator for Length of Span given Uniform Load, enter Sag Length of Cable (L_s), Prestressing Force (F) & Uniform Load (w_b) and hit the calculate button. Here is how the Length of Span given Uniform Load calculation can be explained with given input values -> 5 = sqrt(8*5.2*400000/640).

FAQ

What is Length of Span given Uniform Load?

The Length of Span given Uniform Load is defined as end to end distance between beam or slab when supported using two end supports and is represented as L = sqrt(8*L_s*F/w_b) or Span Length = sqrt(8*Sag Length of Cable*Prestressing Force/Uniform Load). Sag Length of Cable is the length measured at Midway between Supports is vertical sag at midpoint of cable, Prestressing Force is the force internally applied to the prestressed concrete section & Uniform Load is a load that is distributed or spread across the whole region of an element such as a beam or slab.

How to calculate Length of Span given Uniform Load?

The Length of Span given Uniform Load is defined as end to end distance between beam or slab when supported using two end supports is calculated using Span Length = sqrt(8*Sag Length of Cable*Prestressing Force/Uniform Load). To calculate Length of Span given Uniform Load, you need Sag Length of Cable (L_s), Prestressing Force (F) & Uniform Load (w_b). With our tool, you need to enter the respective value for Sag Length of Cable, Prestressing Force & Uniform Load 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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