Upward Uniform Load using Load Balancing Method Solution

STEP 0: Pre-Calculation Summary
Formula Used
Uniform Load = 8*Prestressing Force*Sag Length of Cable/Span Length^2
wb = 8*F*Ls/L^2
This formula uses 4 Variables
Variables Used
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.
Prestressing Force - (Measured in Kilonewton) - Prestressing Force is the force internally applied to the prestressed concrete section.
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.
Span Length - (Measured in Meter) - Span Length is the end to end distance between any beam or slab.
STEP 1: Convert Input(s) to Base Unit
Prestressing Force: 400 Kilonewton --> 400 Kilonewton No Conversion Required
Sag Length of Cable: 5.2 Meter --> 5.2 Meter No Conversion Required
Span Length: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
wb = 8*F*Ls/L^2 --> 8*400*5.2/5^2
Evaluating ... ...
wb = 665.6
STEP 3: Convert Result to Output's Unit
665.6 Newton per Meter -->0.6656 Kilonewton per Meter (Check conversion here)
FINAL ANSWER
0.6656 Kilonewton per Meter <-- Uniform Load
(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

Upward Uniform Load using Load Balancing Method Formula

Uniform Load = 8*Prestressing Force*Sag Length of Cable/Span Length^2
wb = 8*F*Ls/L^2

What is Load Balancing method?

Load balancing is a design method for prestressed structural members, primarily beams and slabs, that provides efficient use of materials. When using load balancing, the prestressing tendon is designed for a prestressing force and eccentricity in order to ‘balance’ all or a portion of the dead load. Commonly the procedure is used for post-tensioned cast in place structures. However, it is not used typically for precast, pre-tensioned members.

How to Calculate Upward Uniform Load using Load Balancing Method?

Upward Uniform Load using Load Balancing Method calculator uses Uniform Load = 8*Prestressing Force*Sag Length of Cable/Span Length^2 to calculate the Uniform Load, The Upward Uniform Load using Load Balancing Method is defined as the imaginary load which is distributed equally in the upward direction for analyzing prestressed concrete structures. Uniform Load is denoted by wb symbol.

How to calculate Upward Uniform Load using Load Balancing Method using this online calculator? To use this online calculator for Upward Uniform Load using Load Balancing Method, enter Prestressing Force (F), Sag Length of Cable (Ls) & Span Length (L) and hit the calculate button. Here is how the Upward Uniform Load using Load Balancing Method calculation can be explained with given input values -> 0.00064 = 8*400000*5.2/5^2.

FAQ

What is Upward Uniform Load using Load Balancing Method?
The Upward Uniform Load using Load Balancing Method is defined as the imaginary load which is distributed equally in the upward direction for analyzing prestressed concrete structures and is represented as wb = 8*F*Ls/L^2 or Uniform Load = 8*Prestressing Force*Sag Length of Cable/Span Length^2. Prestressing Force is the force internally applied to the prestressed concrete section, Sag Length of Cable is the length measured at Midway between Supports is vertical sag at midpoint of cable & Span Length is the end to end distance between any beam or slab.
How to calculate Upward Uniform Load using Load Balancing Method?
The Upward Uniform Load using Load Balancing Method is defined as the imaginary load which is distributed equally in the upward direction for analyzing prestressed concrete structures is calculated using Uniform Load = 8*Prestressing Force*Sag Length of Cable/Span Length^2. To calculate Upward Uniform Load using Load Balancing Method, you need Prestressing Force (F), Sag Length of Cable (Ls) & Span Length (L). With our tool, you need to enter the respective value for Prestressing Force, Sag Length of Cable & Span Length 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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