Maximum Unsupported Length of Compression Flange-2 Calculator

✖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%
✖Beam Depth is the distance from the tension steel of the beam to the edge of the compression fibre.ⓘ Beam Depth [d]			+10% -10%
✖Area of Compression Flange is the product of the length and depth of the compression flange of the beam.ⓘ Area of Compression Flange [A_f]			+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-2 [l_max]

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Maximum Unsupported Length of Compression Flange-2

Formula

`"l"_{"max"} = 20000/(("F"_{"y"}*"d")/"A"_{"f"})`

Example

`"2400mm"=20000/(("250MPa"*"350mm")/"10500mm²")`

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Maximum Unsupported Length of Compression Flange-2 Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Unbraced Length = 20000/((Yield Stress of Steel*Beam Depth)/Area of Compression Flange)
l_max = 20000/((F_y*d)/A_f)
This formula uses 4 Variables

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.
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.
Beam Depth - (Measured in Meter) - Beam Depth is the distance from the tension steel of the beam to the edge of the compression fibre.
Area of Compression Flange - (Measured in Square Meter) - Area of Compression Flange is the product of the length and depth of the compression flange of the beam.

STEP 1: Convert Input(s) to Base Unit

Yield Stress of Steel: 250 Megapascal --> 250 Megapascal No Conversion Required
Beam Depth: 350 Millimeter --> 0.35 Meter (Check conversion here)
Area of Compression Flange: 10500 Square Millimeter --> 0.0105 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_max = 20000/((F_y*d)/A_f) --> 20000/((250*0.35)/0.0105)

Evaluating ... ...

l_max = 2.4

STEP 3: Convert Result to Output's Unit

2.4 Meter -->2400 Millimeter (Check conversion here)

FINAL ANSWER

2400 Millimeter <-- Maximum Unbraced Length

(Calculation completed in 00.008 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-2

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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-2 Formula

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

Why is it important to evaluate Maximum Unsupported Length?

In order to find out the allowable compressive stress. It is seen that, the allowable stress 0.66Fy should be reduced, if the unsupported length is exceeding the two limits specified, to 0.6Fy.

How to Calculate Maximum Unsupported Length of Compression Flange-2?

Maximum Unsupported Length of Compression Flange-2 calculator uses Maximum Unbraced Length = 20000/((Yield Stress of Steel*Beam Depth)/Area of Compression Flange) to calculate the Maximum Unbraced Length, The Maximum Unsupported Length of Compression Flange-2 formula is defined as the computation of the lateral unbraced length which is the distance between braces that prevent relative movement of the compression flange. Maximum Unbraced Length is denoted by l_max symbol.

How to calculate Maximum Unsupported Length of Compression Flange-2 using this online calculator? To use this online calculator for Maximum Unsupported Length of Compression Flange-2, enter Yield Stress of Steel (F_y), Beam Depth (d) & Area of Compression Flange (A_f) and hit the calculate button. Here is how the Maximum Unsupported Length of Compression Flange-2 calculation can be explained with given input values -> 2.4E+6 = 20000/((250000000*0.35)/0.0105).

FAQ

What is Maximum Unsupported Length of Compression Flange-2?

The Maximum Unsupported Length of Compression Flange-2 formula is defined as the computation of the lateral unbraced length which is the distance between braces that prevent relative movement of the compression flange and is represented as l_max = 20000/((F_y*d)/A_f) or Maximum Unbraced Length = 20000/((Yield Stress of Steel*Beam Depth)/Area of Compression Flange). 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, Beam Depth is the distance from the tension steel of the beam to the edge of the compression fibre & Area of Compression Flange is the product of the length and depth of the compression flange of the beam.

How to calculate Maximum Unsupported Length of Compression Flange-2?

The Maximum Unsupported Length of Compression Flange-2 formula is defined as the computation of the lateral unbraced length which is the distance between braces that prevent relative movement of the compression flange is calculated using Maximum Unbraced Length = 20000/((Yield Stress of Steel*Beam Depth)/Area of Compression Flange). To calculate Maximum Unsupported Length of Compression Flange-2, you need Yield Stress of Steel (F_y), Beam Depth (d) & Area of Compression Flange (A_f). With our tool, you need to enter the respective value for Yield Stress of Steel, Beam Depth & Area of Compression Flange 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 Yield Stress of Steel, Beam Depth & Area of Compression Flange. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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