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

✖Moment Gradient Factor is rate at which moment is changing with length of beam.ⓘ Moment Gradient Factor [C_b]			+10% -10%
✖Maximum Unbraced Length also known as the unsupported length, is the largest distance along a structural member between the brace points.ⓘ Maximum Unbraced Length [l_max]			+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 Fiber Stress is the maximum value of stress that is taken by the fiber.ⓘ Allowable Stress for Solid Compression Flange having Area not Less than Tension Flange [F_b]

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

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Fiber Stress = (12000*Moment Gradient Factor)/((Maximum Unbraced Length*Beam Depth)/Area of Compression Flange)
F_b = (12000*C_b)/((l_max*d)/A_f)
This formula uses 5 Variables

Variables Used

Maximum Fiber Stress - (Measured in Megapascal) - Maximum Fiber Stress is the maximum value of stress that is taken by the fiber.
Moment Gradient Factor - Moment Gradient Factor is rate at which moment is changing with length of beam.
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.
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

Moment Gradient Factor: 1.96 --> No Conversion Required
Maximum Unbraced Length: 1921 Millimeter --> 1.921 Meter (Check conversion here)
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

F_b = (12000*C_b)/((l_max*d)/A_f) --> (12000*1.96)/((1.921*0.35)/0.0105)

Evaluating ... ...

F_b = 367.30869338886

STEP 3: Convert Result to Output's Unit

367308693.38886 Pascal -->367.30869338886 Megapascal (Check conversion here)

FINAL ANSWER

367.30869338886 ≈ 367.3087 Megapascal <-- Maximum Fiber Stress

(Calculation completed in 00.004 seconds)

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NSS College of Engineering (NSSCE), Palakkad

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< Allowable Stress Design for Building Beams Calculators

Maximum Unsupported Length of Compression Flange-2

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

Maximum Unsupported Length of Compression Flange-1

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

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

LaTeX Go Maximum Fiber Stress = 0.60*Yield Stress of Steel

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

LaTeX Go Maximum Fiber Stress = 0.66*Yield Stress of Steel

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

LaTeX Go

Maximum Fiber Stress = (12000*Moment Gradient Factor)/((Maximum Unbraced Length*Beam Depth)/Area of Compression Flange)
F_b = (12000*C_b)/((l_max*d)/A_f)

What is the Use of This Equation?

When the allowable stress when area of compression flange is solid and not less than tension flange formula is applied (not for channels), the value should always be greater than 0.60 Fy.

How to Calculate Allowable Stress for Solid Compression Flange having Area not Less than Tension Flange?

Allowable Stress for Solid Compression Flange having Area not Less than Tension Flange calculator uses Maximum Fiber Stress = (12000*Moment Gradient Factor)/((Maximum Unbraced Length*Beam Depth)/Area of Compression Flange) to calculate the Maximum Fiber Stress, The Allowable Stress for Solid Compression Flange having Area not Less than Tension Flange formula is defined as the calculation of the allowable maximum stress when the compression flange is solid and nearly rectangular in cross-section, and its area is not less than that of the tension flange. Maximum Fiber Stress is denoted by F_b symbol.

How to calculate Allowable Stress for Solid Compression Flange having Area not Less than Tension Flange using this online calculator? To use this online calculator for Allowable Stress for Solid Compression Flange having Area not Less than Tension Flange, enter Moment Gradient Factor (C_b), Maximum Unbraced Length (l_max), Beam Depth (d) & Area of Compression Flange (A_f) and hit the calculate button. Here is how the Allowable Stress for Solid Compression Flange having Area not Less than Tension Flange calculation can be explained with given input values -> 0.000367 = (12000*1.96)/((1.921*0.35)/0.0105).

FAQ

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

The Allowable Stress for Solid Compression Flange having Area not Less than Tension Flange formula is defined as the calculation of the allowable maximum stress when the compression flange is solid and nearly rectangular in cross-section, and its area is not less than that of the tension flange and is represented as F_b = (12000*C_b)/((l_max*d)/A_f) or Maximum Fiber Stress = (12000*Moment Gradient Factor)/((Maximum Unbraced Length*Beam Depth)/Area of Compression Flange). Moment Gradient Factor is rate at which moment is changing with length of beam, Maximum Unbraced Length also known as the unsupported length, is the largest distance along a structural member between the brace points, 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 Allowable Stress for Solid Compression Flange having Area not Less than Tension Flange?

The Allowable Stress for Solid Compression Flange having Area not Less than Tension Flange formula is defined as the calculation of the allowable maximum stress when the compression flange is solid and nearly rectangular in cross-section, and its area is not less than that of the tension flange is calculated using Maximum Fiber Stress = (12000*Moment Gradient Factor)/((Maximum Unbraced Length*Beam Depth)/Area of Compression Flange). To calculate Allowable Stress for Solid Compression Flange having Area not Less than Tension Flange, you need Moment Gradient Factor (C_b), Maximum Unbraced Length (l_max), Beam Depth (d) & Area of Compression Flange (A_f). With our tool, you need to enter the respective value for Moment Gradient Factor, Maximum Unbraced Length, 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 Fiber Stress?

In this formula, Maximum Fiber Stress uses Moment Gradient Factor, Maximum Unbraced Length, Beam Depth & Area of Compression Flange. We can use 3 other way(s) to calculate the same, which is/are as follows -

Maximum Fiber Stress = 0.66*Yield Stress of Steel
Maximum Fiber Stress = 0.60*Yield Stress of Steel
Maximum Fiber Stress = ((2-Simplifying Term for Fb)*Yield Stress of Steel)/3

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