Strip Width 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%
✖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 [W]			+10% -10%
✖Clear Span in Direction of Moments being determined.ⓘ Clear Span in Direction of Moments [l_n]			+10% -10%

✖Span Perpendicular to L1 in the direction in which moments are being determined, center to center of supports.ⓘ Strip Width given Total Static Design Moment [l₂]

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Formula

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Strip Width given Total Static Design Moment

Formula

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

Example

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

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Strip Width given Total Static Design Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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)
Uniform Design Load: 20 Kilonewton per Meter --> 20000 Newton per Meter (Check conversion here)
Clear Span in Direction of Moments: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l₂ = (8*M_o)/(W*(l_n)^2) --> (8*125000)/(20000*(5)^2)

Evaluating ... ...

l₂ = 2

STEP 3: Convert Result to Output's Unit

2 Meter --> No Conversion Required

FINAL ANSWER

2 Meter <-- Span Perpendicular to L1

(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

Strip Width given Total Static Design Moment Formula

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

The static moment of a section about an axis, Y, is also termed the first moment of the area about the axis. It is the sum of the products obtained by multiplying each component of an area, A, by its distance, X, from Y.

How to Calculate Strip Width given Total Static Design Moment?

Strip Width given Total Static Design Moment calculator uses Span Perpendicular to L1 = (8*Total Static Design Moment in Strip)/(Uniform Design Load*(Clear Span in Direction of Moments)^2) to calculate the Span Perpendicular to L1, The Strip Width given Total Static Design Moment formula is defined by the parameters of total static design moment, uniform design load and clear span in direction moments being determined. Span Perpendicular to L1 is denoted by l₂ symbol.

How to calculate Strip Width given Total Static Design Moment using this online calculator? To use this online calculator for Strip Width given Total Static Design Moment, enter Total Static Design Moment in Strip (M_o), Uniform Design Load (W) & Clear Span in Direction of Moments (l_n) and hit the calculate button. Here is how the Strip Width given Total Static Design Moment calculation can be explained with given input values -> 2 = (8*125000)/(20000*(5)^2).

FAQ

What is Strip Width given Total Static Design Moment?

The Strip Width given Total Static Design Moment formula is defined by the parameters of total static design moment, uniform design load and clear span in direction moments being determined and is represented as l₂ = (8*M_o)/(W*(l_n)^2) or Span Perpendicular to L1 = (8*Total Static Design Moment in Strip)/(Uniform Design Load*(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, Uniform Design Load per unit of slab area. The design load is maximum amount of something a system is designed to handle & Clear Span in Direction of Moments being determined.

How to calculate Strip Width given Total Static Design Moment?

The Strip Width given Total Static Design Moment formula is defined by the parameters of total static design moment, uniform design load and clear span in direction moments being determined is calculated using Span Perpendicular to L1 = (8*Total Static Design Moment in Strip)/(Uniform Design Load*(Clear Span in Direction of Moments)^2). To calculate Strip Width given Total Static Design Moment, you need Total Static Design Moment in Strip (M_o), Uniform Design Load (W) & 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, Uniform Design Load & 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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