Simplifying Term for Allowable Stress Equations Solution

STEP 0: Pre-Calculation Summary
Formula Used
Simplifying Term for Fb = ((Maximum Unbraced Length/Radius of Gyration)^2*Yield Stress of Steel)/(510000*Moment Gradient Factor)
Q = ((lmax/r)^2*Fy)/(510000*Cb)
This formula uses 5 Variables
Variables Used
Simplifying Term for Fb - Simplifying Term for Fb is the term introduced for reducing the complex calculation needed for evaluating allowable stress.
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.
Radius of Gyration - (Measured in Meter) - Radius of Gyration is the distance from the axis of rotation to a point where the total mass of any body is supposed to be concentrated.
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.
Moment Gradient Factor - Moment Gradient Factor is rate at which moment is changing with length of beam.
STEP 1: Convert Input(s) to Base Unit
Maximum Unbraced Length: 1921 Millimeter --> 1.921 Meter (Check conversion ​here)
Radius of Gyration: 87 Millimeter --> 0.087 Meter (Check conversion ​here)
Yield Stress of Steel: 250 Megapascal --> 250 Megapascal No Conversion Required
Moment Gradient Factor: 1.96 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = ((lmax/r)^2*Fy)/(510000*Cb) --> ((1.921/0.087)^2*250)/(510000*1.96)
Evaluating ... ...
Q = 0.121935450094954
STEP 3: Convert Result to Output's Unit
0.121935450094954 --> No Conversion Required
FINAL ANSWER
0.121935450094954 0.121935 <-- Simplifying Term for Fb
(Calculation completed in 00.004 seconds)

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Simplifying Term for Allowable Stress Equations Formula

​LaTeX ​Go
Simplifying Term for Fb = ((Maximum Unbraced Length/Radius of Gyration)^2*Yield Stress of Steel)/(510000*Moment Gradient Factor)
Q = ((lmax/r)^2*Fy)/(510000*Cb)

What is a Compression Flange?

The Compression Flange is defined as the widened portion of a beam or girder, such as the horizontal portion of the cross section of a simple-span T-beam, which is shortened by bending under a normal load.

How to Calculate Simplifying Term for Allowable Stress Equations?

Simplifying Term for Allowable Stress Equations calculator uses Simplifying Term for Fb = ((Maximum Unbraced Length/Radius of Gyration)^2*Yield Stress of Steel)/(510000*Moment Gradient Factor) to calculate the Simplifying Term for Fb, The Simplifying Term for Allowable Stress Equations formula is defined as the determination of a simplifying term that can be used to reduce the calculation complexity while evaluating allowable stress. Simplifying Term for Fb is denoted by Q symbol.

How to calculate Simplifying Term for Allowable Stress Equations using this online calculator? To use this online calculator for Simplifying Term for Allowable Stress Equations, enter Maximum Unbraced Length (lmax), Radius of Gyration (r), Yield Stress of Steel (Fy) & Moment Gradient Factor (Cb) and hit the calculate button. Here is how the Simplifying Term for Allowable Stress Equations calculation can be explained with given input values -> 0.202365 = ((1.921/0.087)^2*250000000)/(510000*1.96).

FAQ

What is Simplifying Term for Allowable Stress Equations?
The Simplifying Term for Allowable Stress Equations formula is defined as the determination of a simplifying term that can be used to reduce the calculation complexity while evaluating allowable stress and is represented as Q = ((lmax/r)^2*Fy)/(510000*Cb) or Simplifying Term for Fb = ((Maximum Unbraced Length/Radius of Gyration)^2*Yield Stress of Steel)/(510000*Moment Gradient Factor). Maximum Unbraced Length also known as the unsupported length, is the largest distance along a structural member between the brace points, Radius of Gyration is the distance from the axis of rotation to a point where the total mass of any body is supposed to be concentrated, 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 & Moment Gradient Factor is rate at which moment is changing with length of beam.
How to calculate Simplifying Term for Allowable Stress Equations?
The Simplifying Term for Allowable Stress Equations formula is defined as the determination of a simplifying term that can be used to reduce the calculation complexity while evaluating allowable stress is calculated using Simplifying Term for Fb = ((Maximum Unbraced Length/Radius of Gyration)^2*Yield Stress of Steel)/(510000*Moment Gradient Factor). To calculate Simplifying Term for Allowable Stress Equations, you need Maximum Unbraced Length (lmax), Radius of Gyration (r), Yield Stress of Steel (Fy) & Moment Gradient Factor (Cb). With our tool, you need to enter the respective value for Maximum Unbraced Length, Radius of Gyration, Yield Stress of Steel & Moment Gradient 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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