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Clear Span in Direction Moments given Total Static Design Moment Formula

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Clear Span in Direction of Moments being determined. Check FAQs

l n = \sqrt{\frac{M o \cdot 8}{W \cdot l 2}}

l_n - Clear Span in Direction of Moments?M_o - Total Static Design Moment in Strip?W - Uniform Design Load?l₂ - Span Perpendicular to L1?

Clear Span in Direction Moments given Total Static Design Moment Example

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Here is how the Clear Span in Direction Moments given Total Static Design Moment equation looks like with Values.

Here is how the Clear Span in Direction Moments given Total Static Design Moment equation looks like with Units.

Here is how the Clear Span in Direction Moments given Total Static Design Moment equation looks like.

5 = \sqrt{\frac{125 \cdot 8}{20 \cdot 2}}

5m = \sqrt{\frac{125kN*m \cdot 8}{20kN/m \cdot 2m}}

5 = \sqrt{\frac{125 \cdot 8}{20 \cdot 2}}

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Clear Span in Direction Moments given Total Static Design Moment Solution

Follow our step by step solution on how to calculate Clear Span in Direction Moments given Total Static Design Moment?

FIRST Step Consider the formula

l n = \sqrt{\frac{M o \cdot 8}{W \cdot l 2}}

Next Step Substitute values of Variables

∴

l n = \sqrt{\frac{125kN*m \cdot 8}{20kN/m \cdot 2m}}

Next Step Convert Units

∴

l n = \sqrt{\frac{125000N*m \cdot 8}{20000N/m \cdot 2m}}

Next Step Prepare to Evaluate

∴

l n = \sqrt{\frac{125000 \cdot 8}{20000 \cdot 2}}

LAST Step Evaluate

∴

l n = 5m

Clear Span in Direction Moments given Total Static Design Moment Formula Elements

Variables

Functions

Clear Span in Direction of Moments

Clear Span in Direction of Moments being determined.

Symbol: l_n

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Clear Span in Direction of Moments

Total Static Design Moment in Strip

Total Static Design Moment in Strip bounded laterally by the centerline of the panel on each side of the centerline of the supports.

Symbol: M_o

Measurement: Moment of ForceUnit: kN*m

Note: Value can be positive or negative.

Formulas to find Total Static Design Moment in Strip

Uniform Design Load

Uniform Design Load per unit of slab area. The design load is maximum amount of something a system is designed to handle.

Symbol: W

Measurement: Surface TensionUnit: kN/m

Note: Value can be positive or negative.

Formulas to find Uniform Design Load

Span Perpendicular to L1

Span Perpendicular to L1 in the direction in which moments are being determined, center to center of supports.

Symbol: l₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Span Perpendicular to L1

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.

Syntax: sqrt(Number)

Other formulas in Flat Plate Construction category

Go Total Static Design Moment in Strip

M o = \frac{W \cdot l 2 \cdot {(l n)}^{2}}{8}

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

W = \frac{M o \cdot 8}{l 2 \cdot {l n}^{2}}

Go Strip Width given Total Static Design Moment

l 2 = \frac{8 \cdot M o}{W \cdot {(l n)}^{2}}

Go Concrete Column Elasticity Modulus using Flexural Stiffness

E c = \frac{K c}{I}

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

Clear Span in Direction Moments given Total Static Design Moment evaluator uses Clear Span in Direction of Moments = sqrt((Total Static Design Moment in Strip*8)/(Uniform Design Load*Span Perpendicular to L1)) to evaluate 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 evaluate Clear Span in Direction Moments given Total Static Design Moment using this online evaluator? To use this online evaluator 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.

FAQs on Clear Span in Direction Moments given Total Static Design Moment

What is the formula to find Clear Span in Direction Moments given Total Static Design Moment?

The formula of Clear Span in Direction Moments given Total Static Design Moment is expressed as Clear Span in Direction of Moments = sqrt((Total Static Design Moment in Strip*8)/(Uniform Design Load*Span Perpendicular to L1)). Here is an example- 5 = sqrt((125000*8)/(20000*2)).

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

With Total Static Design Moment in Strip (M_o), Uniform Design Load (W) & Span Perpendicular to L1 (l₂) we can find Clear Span in Direction Moments given Total Static Design Moment using the formula - Clear Span in Direction of Moments = sqrt((Total Static Design Moment in Strip*8)/(Uniform Design Load*Span Perpendicular to L1)). This formula also uses Square Root (sqrt) function(s).

Can the Clear Span in Direction Moments given Total Static Design Moment be negative?

Yes, the Clear Span in Direction Moments given Total Static Design Moment, measured in Length can be negative.

Which unit is used to measure Clear Span in Direction Moments given Total Static Design Moment?

Clear Span in Direction Moments given Total Static Design Moment is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Clear Span in Direction Moments given Total Static Design Moment can be measured.

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Clear Span in Direction Moments given Total Static Design Moment Formula

Clear Span in Direction Moments given Total Static Design Moment Example

Clear Span in Direction Moments given Total Static Design Moment Solution

Clear Span in Direction Moments given Total Static Design Moment Formula Elements

Other formulas in Flat Plate Construction category

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

FAQs on Clear Span in Direction Moments given Total Static Design Moment

Variable Name