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Maximum Unsupported Length of Compression Flange-1 Formula

GoMaximum Unsupported Length of Compression Flange-2 Formula

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Maximum Unbraced Length also known as the unsupported length, is the largest distance along a structural member between the brace points. Check FAQs

l max = \frac{76.0 \cdot b f}{\sqrt{F y}}

l_max - Maximum Unbraced Length?b_f - Width of Compression Flange?F_y - Yield Stress of Steel?

Maximum Unsupported Length of Compression Flange-1 Example

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Here is how the Maximum Unsupported Length of Compression Flange-1 equation looks like with Values.

Here is how the Maximum Unsupported Length of Compression Flange-1 equation looks like with Units.

Here is how the Maximum Unsupported Length of Compression Flange-1 equation looks like.

21629.9792 = \frac{76.0 \cdot 4500}{\sqrt{250}}

21629.9792mm = \frac{76.0 \cdot 4500mm}{\sqrt{250MPa}}

21629.9792 = \frac{76.0 \cdot 4500}{\sqrt{250}}

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Maximum Unsupported Length of Compression Flange-1 Solution

Follow our step by step solution on how to calculate Maximum Unsupported Length of Compression Flange-1?

FIRST Step Consider the formula

l max = \frac{76.0 \cdot b f}{\sqrt{F y}}

Next Step Substitute values of Variables

∴

l max = \frac{76.0 \cdot 4500mm}{\sqrt{250MPa}}

Next Step Convert Units

∴

l max = \frac{76.0 \cdot 4.5m}{\sqrt{250MPa}}

Next Step Prepare to Evaluate

∴

l max = \frac{76.0 \cdot 4.5}{\sqrt{250}}

Next Step Evaluate

∴

l max = 21.6299791955517m

Next Step Convert to Output's Unit

∴

l max = 21629.9791955517mm

LAST Step Rounding Answer

∴

l max = 21629.9792mm

Maximum Unsupported Length of Compression Flange-1 Formula Elements

Variables

Functions

Maximum Unbraced Length

Maximum Unbraced Length also known as the unsupported length, is the largest distance along a structural member between the brace points.

Symbol: l_max

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Maximum Unbraced Length

Width of Compression Flange

Width of Compression Flange is the portion of the slab that acts integrally with the beam and extends on either side of the beam forming the compression zone.

Symbol: b_f

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Compression Flange

Yield Stress of Steel

Yield Stress of Steel is the stress at which the material begins to deform plastically, meaning it will not return to its original shape when the applied force is removed.

Symbol: F_y

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Yield Stress of Steel

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 to find Maximum Unbraced Length

Go Maximum Unsupported Length of Compression Flange-2

l max = \frac{20000}{\frac{F y \cdot d}{A f}}

Other formulas in Allowable Stress Design for Building Beams category

Go Maximum Fiber Stress in Bending for Laterally Supported Compact Beams and Girders

F b = 0.66 \cdot F y

Go Maximum Fiber Stress in Bending for Laterally Supported Noncompact Beams and Girders

F b = 0.60 \cdot F y

Go Modifier for Moment Gradient

C b = 1.75 + (1.05 \cdot (\frac{M 1}{M 2})) + (0.3 \cdot {(\frac{M 1}{M 2})}^{2})

Go Allowable Stress for Solid Compression Flange having Area not Less than Tension Flange

F b = \frac{12000 \cdot C b}{\frac{l max \cdot d}{A f}}

How to Evaluate Maximum Unsupported Length of Compression Flange-1?

Maximum Unsupported Length of Compression Flange-1 evaluator uses Maximum Unbraced Length = (76.0*Width of Compression Flange)/sqrt(Yield Stress of Steel) to evaluate the Maximum Unbraced Length, The Maximum Unsupported Length of Compression Flange-1 formula is defined as the distance between braces that prevent relative movement of the compression flange and can be used to decide the reduction in the value of allowable stress for compact sections. Maximum Unbraced Length is denoted by l_max symbol.

How to evaluate Maximum Unsupported Length of Compression Flange-1 using this online evaluator? To use this online evaluator for Maximum Unsupported Length of Compression Flange-1, enter Width of Compression Flange (b_f) & Yield Stress of Steel (F_y) and hit the calculate button.

FAQs on Maximum Unsupported Length of Compression Flange-1

What is the formula to find Maximum Unsupported Length of Compression Flange-1?

The formula of Maximum Unsupported Length of Compression Flange-1 is expressed as Maximum Unbraced Length = (76.0*Width of Compression Flange)/sqrt(Yield Stress of Steel). Here is an example- 1.4E+6 = (76.0*4.5)/sqrt(250000000).

How to calculate Maximum Unsupported Length of Compression Flange-1?

With Width of Compression Flange (b_f) & Yield Stress of Steel (F_y) we can find Maximum Unsupported Length of Compression Flange-1 using the formula - Maximum Unbraced Length = (76.0*Width of Compression Flange)/sqrt(Yield Stress of Steel). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Maximum Unbraced Length?

Here are the different ways to Calculate Maximum Unbraced Length-

Maximum Unbraced Length=20000/((Yield Stress of Steel*Beam Depth)/Area of Compression Flange)

Can the Maximum Unsupported Length of Compression Flange-1 be negative?

No, the Maximum Unsupported Length of Compression Flange-1, measured in Length cannot be negative.

Which unit is used to measure Maximum Unsupported Length of Compression Flange-1?

Maximum Unsupported Length of Compression Flange-1 is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Maximum Unsupported Length of Compression Flange-1 can be measured.

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Maximum Unsupported Length of Compression Flange-1 Formula

​GoMaximum Unsupported Length of Compression Flange-2 Formula

Maximum Unsupported Length of Compression Flange-1 Example

Maximum Unsupported Length of Compression Flange-1 Solution

Maximum Unsupported Length of Compression Flange-1 Formula Elements

Other Formulas to find Maximum Unbraced Length

Other formulas in Allowable Stress Design for Building Beams category

How to Evaluate Maximum Unsupported Length of Compression Flange-1?

FAQs on Maximum Unsupported Length of Compression Flange-1

Variable Name

GoMaximum Unsupported Length of Compression Flange-2 Formula