Allowable Bending Stress in Compression Flange Calculator

✖Allowable Bending Stress is the maximum bending stress that can be applied to a material or a structural element without causing failure.ⓘ Allowable Bending Stress [F_b]			+10% -10%
✖Plate Girder Strength Reduction Factor accounts for the strength reduction due to elastic web buckling.ⓘ Plate Girder Strength Reduction Factor [R_pg]			+10% -10%
✖Hybrid Girder Factor Re accounts for the strength reduction due to web yielding and is only important in hybrid girder design.ⓘ Hybrid Girder Factor [R_e]			+10% -10%

✖Reduced Allowable Bending Stress of compression flange is the value of bending stress when h/t ratio exceeds ' 760/sqrt(Fb) '.ⓘ Allowable Bending Stress in Compression Flange [F_b']

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Allowable Bending Stress in Compression Flange

Formula

`"F"_{"b'"} = "F"_{"b"}*"R"_{"pg"}*"R"_{"e"}`

Example

`"1.884096MPa"="3MPa"*"0.640"*"0.9813"`

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Allowable Bending Stress in Compression Flange Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reduced Allowable Bending Stress = Allowable Bending Stress*Plate Girder Strength Reduction Factor*Hybrid Girder Factor
F_b' = F_b*R_pg*R_e
This formula uses 4 Variables

Variables Used

Reduced Allowable Bending Stress - (Measured in Megapascal) - Reduced Allowable Bending Stress of compression flange is the value of bending stress when h/t ratio exceeds ' 760/sqrt(Fb) '.
Allowable Bending Stress - (Measured in Megapascal) - Allowable Bending Stress is the maximum bending stress that can be applied to a material or a structural element without causing failure.
Plate Girder Strength Reduction Factor - Plate Girder Strength Reduction Factor accounts for the strength reduction due to elastic web buckling.
Hybrid Girder Factor - Hybrid Girder Factor Re accounts for the strength reduction due to web yielding and is only important in hybrid girder design.

STEP 1: Convert Input(s) to Base Unit

Allowable Bending Stress: 3 Megapascal --> 3 Megapascal No Conversion Required
Plate Girder Strength Reduction Factor: 0.64 --> No Conversion Required
Hybrid Girder Factor: 0.9813 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_b' = F_b*R_pg*R_e --> 3*0.64*0.9813

Evaluating ... ...

F_b' = 1.884096

STEP 3: Convert Result to Output's Unit

1884096 Pascal -->1.884096 Megapascal (Check conversion here)

FINAL ANSWER

1.884096 Megapascal <-- Reduced Allowable Bending Stress

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Design of Steel Structures » Bearing, Stresses, Plate Girders & Ponding Considerations » Plate Girders in Buildings » Allowable Bending Stress in Compression Flange

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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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< 5 Plate Girders in Buildings Calculators

Plate Girder Stress Reduction Factor

Go Plate Girder Strength Reduction Factor = (1-0.0005*(Web Area/Area of Flange)*(Depth to Thickness Ratio-(760/sqrt(Allowable Bending Stress))))

Hybrid Girder Factor

Go Hybrid Girder Factor = (12+(Ratio of Web Area to Flange Area*(3*Ratio of Yield Stress-Ratio of Yield Stress^3)))/(12+2*Ratio of Web Area to Flange Area)

Allowable Bending Stress in Compression Flange

Go Reduced Allowable Bending Stress = Allowable Bending Stress*Plate Girder Strength Reduction Factor*Hybrid Girder Factor

Maximum Depth to Thickness Ratio for Unstiffened Web

Go Depth to Thickness Ratio = 14000/sqrt(Yield Stress of Steel*(Yield Stress of Steel+16.5))

Depth to Thickness Ratio of Girder with Transverse Stiffeners

Go Depth to Thickness Ratio = 2000/sqrt(Yield Stress of Steel)

Allowable Bending Stress in Compression Flange Formula

Reduced Allowable Bending Stress = Allowable Bending Stress*Plate Girder Strength Reduction Factor*Hybrid Girder Factor
F_b' = F_b*R_pg*R_e

What is the use of Reduction Factors in Plate Girder Design?

Buckling of the web due to in-plane bending does not exhaust its capacity; however, the distribution of the compressive bending stress changes in the post-buckling range and the web becomes less efficient. Only part of the compression portion of the web can be assumed effective after buckling. A reduction in the girder moment capacity to account for the web bend buckling can be used, called reduction factors.

How to Calculate Allowable Bending Stress in Compression Flange?

Allowable Bending Stress in Compression Flange calculator uses Reduced Allowable Bending Stress = Allowable Bending Stress*Plate Girder Strength Reduction Factor*Hybrid Girder Factor to calculate the Reduced Allowable Bending Stress, The Allowable Bending Stress in Compression Flange formula is defined as the value which should be less than allowable bending stress when the h/t ratio exceeds '760/sqrt(Fb)'. Reduced Allowable Bending Stress is denoted by F_b' symbol.

How to calculate Allowable Bending Stress in Compression Flange using this online calculator? To use this online calculator for Allowable Bending Stress in Compression Flange, enter Allowable Bending Stress (F_b), Plate Girder Strength Reduction Factor (R_pg) & Hybrid Girder Factor (R_e) and hit the calculate button. Here is how the Allowable Bending Stress in Compression Flange calculation can be explained with given input values -> 1.9E-6 = 3000000*0.64*0.9813.

FAQ

What is Allowable Bending Stress in Compression Flange?

The Allowable Bending Stress in Compression Flange formula is defined as the value which should be less than allowable bending stress when the h/t ratio exceeds '760/sqrt(Fb)' and is represented as F_b' = F_b*R_pg*R_e or Reduced Allowable Bending Stress = Allowable Bending Stress*Plate Girder Strength Reduction Factor*Hybrid Girder Factor. Allowable Bending Stress is the maximum bending stress that can be applied to a material or a structural element without causing failure, Plate Girder Strength Reduction Factor accounts for the strength reduction due to elastic web buckling & Hybrid Girder Factor Re accounts for the strength reduction due to web yielding and is only important in hybrid girder design.

How to calculate Allowable Bending Stress in Compression Flange?

The Allowable Bending Stress in Compression Flange formula is defined as the value which should be less than allowable bending stress when the h/t ratio exceeds '760/sqrt(Fb)' is calculated using Reduced Allowable Bending Stress = Allowable Bending Stress*Plate Girder Strength Reduction Factor*Hybrid Girder Factor. To calculate Allowable Bending Stress in Compression Flange, you need Allowable Bending Stress (F_b), Plate Girder Strength Reduction Factor (R_pg) & Hybrid Girder Factor (R_e). With our tool, you need to enter the respective value for Allowable Bending Stress, Plate Girder Strength Reduction Factor & Hybrid Girder Factor 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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