Maximum Unsupported Length of Compression Flange-1 Calculator

✖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.ⓘ Width of Compression Flange [b_f]			+10% -10%
✖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.ⓘ Yield Stress of Steel [F_y]			+10% -10%

✖Maximum Unbraced Length also known as the unsupported length, is the largest distance along a structural member between the brace points.ⓘ Maximum Unsupported Length of Compression Flange-1 [l_max]

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Maximum Unsupported Length of Compression Flange-1

Formula

`"l"_{"max"} = (76.0*"b"_{"f"})/sqrt("F"_{"y"})`

Example

`"21629.98mm"=(76.0*"4500mm")/sqrt("250MPa")`

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Maximum Unsupported Length of Compression Flange-1 Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Unbraced Length = (76.0*Width of Compression Flange)/sqrt(Yield Stress of Steel)
l_max = (76.0*b_f)/sqrt(F_y)
This formula uses 1 Functions, 3 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

Maximum Unbraced Length - (Measured in Meter) - Maximum Unbraced Length also known as the unsupported length, is the largest distance along a structural member between the brace points.
Width of Compression Flange - (Measured in Meter) - 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.
Yield Stress of Steel - (Measured in Megapascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Width of Compression Flange: 4500 Millimeter --> 4.5 Meter (Check conversion here)
Yield Stress of Steel: 250 Megapascal --> 250 Megapascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_max = (76.0*b_f)/sqrt(F_y) --> (76.0*4.5)/sqrt(250)

Evaluating ... ...

l_max = 21.6299791955517

STEP 3: Convert Result to Output's Unit

21.6299791955517 Meter -->21629.9791955517 Millimeter (Check conversion here)

FINAL ANSWER

21629.9791955517 ≈ 21629.98 Millimeter <-- Maximum Unbraced Length

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Design of Steel Structures » Allowable-Stress Design » Allowable-Stress Design for Building Beams » Maximum Unsupported Length of Compression Flange-1

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 9 Allowable-Stress Design for Building Beams Calculators

Modifier for Moment Gradient

Go Moment Gradient Factor = 1.75+(1.05*(Smaller Beam End Moment/Larger Beam End Moment))+(0.3*(Smaller Beam End Moment/Larger Beam End Moment)^2)

Simplifying Term for Allowable Stress Equations

Go Simplifying Term for Fb = ((Maximum Unbraced Length/Radius of Gyration)^2*Yield Stress of Steel)/(510000*Moment Gradient Factor)

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

Go Maximum Fiber Stress = (12000*Moment Gradient Factor)/((Maximum Unbraced Length*Beam Depth)/Area of Compression Flange)

Maximum Unsupported Length of Compression Flange-2

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

Maximum Unsupported Length of Compression Flange-1

Go Maximum Unbraced Length = (76.0*Width of Compression Flange)/sqrt(Yield Stress of Steel)

Allowable Stress given Simplifying Term between 0.2 and 1

Go Maximum Fiber Stress = ((2-Simplifying Term for Fb)*Yield Stress of Steel)/3

Allowable Stress when Simplifying Term Greater than 1

Go Maximum Fiber Stress = Yield Stress of Steel/(3*Simplifying Term for Fb)

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

Go Maximum Fiber Stress = 0.60*Yield Stress of Steel

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

Go Maximum Fiber Stress = 0.66*Yield Stress of Steel

Maximum Unsupported Length of Compression Flange-1 Formula

Maximum Unbraced Length = (76.0*Width of Compression Flange)/sqrt(Yield Stress of Steel)
l_max = (76.0*b_f)/sqrt(F_y)

What is Unsupported Length?

The distance between the end supports of a section is known as Unsupported Length. It is also known as the clear distance among the member capable of providing lateral support.

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

Maximum Unsupported Length of Compression Flange-1 calculator uses Maximum Unbraced Length = (76.0*Width of Compression Flange)/sqrt(Yield Stress of Steel) to calculate 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 calculate Maximum Unsupported Length of Compression Flange-1 using this online calculator? To use this online calculator 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. Here is how the Maximum Unsupported Length of Compression Flange-1 calculation can be explained with given input values -> 1.4E+6 = (76.0*4.5)/sqrt(250000000).

FAQ

What is Maximum Unsupported Length of Compression Flange-1?

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 and is represented as l_max = (76.0*b_f)/sqrt(F_y) or Maximum Unbraced Length = (76.0*Width of Compression Flange)/sqrt(Yield Stress of Steel). 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 & 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.

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

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 is calculated using Maximum Unbraced Length = (76.0*Width of Compression Flange)/sqrt(Yield Stress of Steel). To calculate Maximum Unsupported Length of Compression Flange-1, you need Width of Compression Flange (b_f) & Yield Stress of Steel (F_y). With our tool, you need to enter the respective value for Width of Compression Flange & Yield Stress of Steel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Maximum Unbraced Length?

In this formula, Maximum Unbraced Length uses Width of Compression Flange & Yield Stress of Steel. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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