Uniform Design Load Per Unit of Slab Area given Total Static Design Moment Calculator

✖Total Static Design Moment in Strip bounded laterally by the centerline of the panel on each side of the centerline of the supports.ⓘ Total Static Design Moment in Strip [M_o]			+10% -10%
✖Span Perpendicular to L1 in the direction in which moments are being determined, center to center of supports.ⓘ Span Perpendicular to L1 [l₂]			+10% -10%
✖Clear Span in Direction of Moments being determined.ⓘ Clear Span in Direction of Moments [l_n]			+10% -10%

✖Uniform Design Load per unit of slab area. The design load is maximum amount of something a system is designed to handle.ⓘ Uniform Design Load Per Unit of Slab Area given Total Static Design Moment [W]

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Formula

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Uniform Design Load Per Unit of Slab Area given Total Static Design Moment

Formula

`"W" = ("M"_{"o"}*8)/("l"_{"2"}*"l"_{"n"}^2)`

Example

`"20kN/m"=("125kN*m"*8)/("2m"*("5m")^2)`

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Uniform Design Load Per Unit of Slab Area given Total Static Design Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Uniform Design Load = (Total Static Design Moment in Strip*8)/(Span Perpendicular to L1*Clear Span in Direction of Moments^2)
W = (M_o*8)/(l₂*l_n^2)
This formula uses 4 Variables

Variables Used

Uniform Design Load - (Measured in Newton per Meter) - Uniform Design Load per unit of slab area. The design load is maximum amount of something a system is designed to handle.
Total Static Design Moment in Strip - (Measured in Newton Meter) - Total Static Design Moment in Strip bounded laterally by the centerline of the panel on each side of the centerline of the supports.
Span Perpendicular to L1 - (Measured in Meter) - Span Perpendicular to L1 in the direction in which moments are being determined, center to center of supports.
Clear Span in Direction of Moments - (Measured in Meter) - Clear Span in Direction of Moments being determined.

STEP 1: Convert Input(s) to Base Unit

Total Static Design Moment in Strip: 125 Kilonewton Meter --> 125000 Newton Meter (Check conversion here)
Span Perpendicular to L1: 2 Meter --> 2 Meter No Conversion Required
Clear Span in Direction of Moments: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = (M_o*8)/(l₂*l_n^2) --> (125000*8)/(2*5^2)

Evaluating ... ...

W = 20000

STEP 3: Convert Result to Output's Unit

20000 Newton per Meter -->20 Kilonewton per Meter (Check conversion here)

FINAL ANSWER

20 Kilonewton per Meter <-- Uniform Design Load

(Calculation completed in 00.004 seconds)

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< 6 Flat Plate Construction Calculators

Clear Span in Direction Moments given Total Static Design Moment

Go Clear Span in Direction of Moments = sqrt((Total Static Design Moment in Strip*8)/(Uniform Design Load*Span Perpendicular to L1))

Strip Width given Total Static Design Moment

Go Span Perpendicular to L1 = (8*Total Static Design Moment in Strip)/(Uniform Design Load*(Clear Span in Direction of Moments)^2)

Uniform Design Load Per Unit of Slab Area given Total Static Design Moment

Go Uniform Design Load = (Total Static Design Moment in Strip*8)/(Span Perpendicular to L1*Clear Span in Direction of Moments^2)

Total Static Design Moment in Strip

Go Total Static Design Moment in Strip = (Uniform Design Load*Span Perpendicular to L1*(Clear Span in Direction of Moments)^2)/8

Moment of Inertia of Centroidal Axis given Flexural Stiffness

Go Moment of Inertia = Flexural Stiffness of Column/Modulus of Elasticity of Concrete

Concrete Column Elasticity Modulus using Flexural Stiffness

Go Modulus of Elasticity of Concrete = Flexural Stiffness of Column/Moment of Inertia

Uniform Design Load Per Unit of Slab Area given Total Static Design Moment Formula

Uniform Design Load = (Total Static Design Moment in Strip*8)/(Span Perpendicular to L1*Clear Span in Direction of Moments^2)
W = (M_o*8)/(l₂*l_n^2)

What is Uniform Load?

A Uniformly Distributed Load (UDL) is a load that is distributed or spread across the whole region of an element such as a beam or slab.

What is Static load?

Static load is the load which does not change in magnitude or direction and gradually increases to a steady value e.g. dead weight of machine elements.

How to Calculate Uniform Design Load Per Unit of Slab Area given Total Static Design Moment?

Uniform Design Load Per Unit of Slab Area given Total Static Design Moment calculator uses Uniform Design Load = (Total Static Design Moment in Strip*8)/(Span Perpendicular to L1*Clear Span in Direction of Moments^2) to calculate the Uniform Design Load, The Uniform Design Load Per Unit of Slab Area given Total Static Design Moment formula is defined by parameters of Total Static Design Moment Mo, Span perpendicular to L1, c to c of supports and clear span in direction moments are being determined. Uniform Design Load is denoted by W symbol.

How to calculate Uniform Design Load Per Unit of Slab Area given Total Static Design Moment using this online calculator? To use this online calculator for Uniform Design Load Per Unit of Slab Area given Total Static Design Moment, enter Total Static Design Moment in Strip (M_o), Span Perpendicular to L1 (l₂) & Clear Span in Direction of Moments (l_n) and hit the calculate button. Here is how the Uniform Design Load Per Unit of Slab Area given Total Static Design Moment calculation can be explained with given input values -> 0.02 = (125000*8)/(2*5^2).

FAQ

What is Uniform Design Load Per Unit of Slab Area given Total Static Design Moment?

The Uniform Design Load Per Unit of Slab Area given Total Static Design Moment formula is defined by parameters of Total Static Design Moment Mo, Span perpendicular to L1, c to c of supports and clear span in direction moments are being determined and is represented as W = (M_o*8)/(l₂*l_n^2) or Uniform Design Load = (Total Static Design Moment in Strip*8)/(Span Perpendicular to L1*Clear Span in Direction of Moments^2). Total Static Design Moment in Strip bounded laterally by the centerline of the panel on each side of the centerline of the supports, Span Perpendicular to L1 in the direction in which moments are being determined, center to center of supports & Clear Span in Direction of Moments being determined.

How to calculate Uniform Design Load Per Unit of Slab Area given Total Static Design Moment?

The Uniform Design Load Per Unit of Slab Area given Total Static Design Moment formula is defined by parameters of Total Static Design Moment Mo, Span perpendicular to L1, c to c of supports and clear span in direction moments are being determined is calculated using Uniform Design Load = (Total Static Design Moment in Strip*8)/(Span Perpendicular to L1*Clear Span in Direction of Moments^2). To calculate Uniform Design Load Per Unit of Slab Area given Total Static Design Moment, you need Total Static Design Moment in Strip (M_o), Span Perpendicular to L1 (l₂) & Clear Span in Direction of Moments (l_n). With our tool, you need to enter the respective value for Total Static Design Moment in Strip, Span Perpendicular to L1 & Clear Span in Direction of Moments 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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