Clear Span in Direction Moments 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%
✖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 Moments given Total Static Design Moment [l_n]

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Clear Span in Direction Moments given Total Static Design Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Clear Span in Direction of Moments - (Measured in Meter) - Clear Span in Direction of Moments being determined.
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.
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.

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)
Span Perpendicular to L1: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

l_n = 5

STEP 3: Convert Result to Output's Unit

5 Meter --> No Conversion Required

FINAL ANSWER

5 Meter <-- Clear Span in Direction of Moments

(Calculation completed in 00.004 seconds)

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Clear Span in Direction Moments given Total Static Design Moment

LaTeX 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

LaTeX 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

LaTeX 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

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

Clear Span in Direction Moments given Total Static Design Moment Formula

LaTeX Go

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

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 Clear Span in Direction Moments given Total Static Design Moment?

Clear Span in Direction Moments given Total Static Design Moment calculator uses Clear Span in Direction of Moments = sqrt((Total Static Design Moment in Strip*8)/(Uniform Design Load*Span Perpendicular to L1)) to calculate the Clear Span in Direction of Moments, The Clear Span in Direction Moments given Total Static Design Moment formula is defined by the parameters of Total Static Design Moment Mo, Uniform design load per unit of slab area and span perpendicular to l1, c to c of supports. Clear Span in Direction of Moments is denoted by l_n symbol.

How to calculate Clear Span in Direction Moments given Total Static Design Moment using this online calculator? To use this online calculator for Clear Span in Direction Moments given Total Static Design Moment, enter Total Static Design Moment in Strip (M_o), Uniform Design Load (W) & Span Perpendicular to L1 (l₂) and hit the calculate button. Here is how the Clear Span in Direction Moments given Total Static Design Moment calculation can be explained with given input values -> 5 = sqrt((125000*8)/(20000*2)).

FAQ

What is Clear Span in Direction Moments given Total Static Design Moment?

The Clear Span in Direction Moments given Total Static Design Moment formula is defined by the parameters of Total Static Design Moment Mo, Uniform design load per unit of slab area and span perpendicular to l1, c to c of supports and is represented as l_n = sqrt((M_o*8)/(W*l₂)) or Clear Span in Direction of Moments = sqrt((Total Static Design Moment in Strip*8)/(Uniform Design Load*Span Perpendicular to L1)). 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 & Span Perpendicular to L1 in the direction in which moments are being determined, center to center of supports.

How to calculate Clear Span in Direction Moments given Total Static Design Moment?

The Clear Span in Direction Moments given Total Static Design Moment formula is defined by the parameters of Total Static Design Moment Mo, Uniform design load per unit of slab area and span perpendicular to l1, c to c of supports is calculated using Clear Span in Direction of Moments = sqrt((Total Static Design Moment in Strip*8)/(Uniform Design Load*Span Perpendicular to L1)). To calculate Clear Span in Direction Moments given Total Static Design Moment, you need Total Static Design Moment in Strip (M_o), Uniform Design Load (W) & Span Perpendicular to L1 (l₂). With our tool, you need to enter the respective value for Total Static Design Moment in Strip, Uniform Design Load & Span Perpendicular to L1 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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