Allowable Stress when Simplifying Term Greater than 1 Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Fiber Stress = Yield Stress of Steel/(3*Simplifying Term for Fb)
Fb = Fy/(3*Q)
This formula uses 3 Variables
Variables Used
Maximum Fiber Stress - (Measured in Pascal) - Maximum Fiber Stress is the maximum value of stress that is taken by the fiber.
Yield Stress of Steel - (Measured in Pascal) - 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.
Simplifying Term for Fb - Simplifying Term for Fb is the term introduced for reducing the complex calculation needed for evaluating allowable stress.
STEP 1: Convert Input(s) to Base Unit
Yield Stress of Steel: 250 Megapascal --> 250000000 Pascal (Check conversion here)
Simplifying Term for Fb: 0.121935 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fb = Fy/(3*Q) --> 250000000/(3*0.121935)
Evaluating ... ...
Fb = 683424228.755758
STEP 3: Convert Result to Output's Unit
683424228.755758 Pascal -->683.424228755758 Megapascal (Check conversion here)
FINAL ANSWER
683.424228755758 683.4242 Megapascal <-- Maximum Fiber Stress
(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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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

Allowable Stress when Simplifying Term Greater than 1 Formula

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

Why is the term Q introduced?

The term Q is introduced for avoiding the complexities in calculating the allowable stress and conditioning the value. After replacing the equation with the term Q, allowable stress can be calculated and decided as the largest among other equations specified formally.

How to Calculate Allowable Stress when Simplifying Term Greater than 1?

Allowable Stress when Simplifying Term Greater than 1 calculator uses Maximum Fiber Stress = Yield Stress of Steel/(3*Simplifying Term for Fb) to calculate the Maximum Fiber Stress, The Allowable Stress when Simplifying Term Greater than 1 formula is defined as the calculation of the allowable maximum stress using the parameters, yield stress of steel and Q i.e, simplified term. Maximum Fiber Stress is denoted by Fb symbol.

How to calculate Allowable Stress when Simplifying Term Greater than 1 using this online calculator? To use this online calculator for Allowable Stress when Simplifying Term Greater than 1, enter Yield Stress of Steel (Fy) & Simplifying Term for Fb (Q) and hit the calculate button. Here is how the Allowable Stress when Simplifying Term Greater than 1 calculation can be explained with given input values -> 0.000683 = 250000000/(3*0.121935).

FAQ

What is Allowable Stress when Simplifying Term Greater than 1?
The Allowable Stress when Simplifying Term Greater than 1 formula is defined as the calculation of the allowable maximum stress using the parameters, yield stress of steel and Q i.e, simplified term and is represented as Fb = Fy/(3*Q) or Maximum Fiber Stress = Yield Stress of Steel/(3*Simplifying Term for Fb). 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 & Simplifying Term for Fb is the term introduced for reducing the complex calculation needed for evaluating allowable stress.
How to calculate Allowable Stress when Simplifying Term Greater than 1?
The Allowable Stress when Simplifying Term Greater than 1 formula is defined as the calculation of the allowable maximum stress using the parameters, yield stress of steel and Q i.e, simplified term is calculated using Maximum Fiber Stress = Yield Stress of Steel/(3*Simplifying Term for Fb). To calculate Allowable Stress when Simplifying Term Greater than 1, you need Yield Stress of Steel (Fy) & Simplifying Term for Fb (Q). With our tool, you need to enter the respective value for Yield Stress of Steel & Simplifying Term for Fb 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 Yield Stress of Steel & Simplifying Term for Fb. We can use 4 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 = (12000*Moment Gradient Factor)/((Maximum Unbraced Length*Beam Depth)/Area of Compression Flange)
  • Maximum Fiber Stress = ((2-Simplifying Term for Fb)*Yield Stress of Steel)/3
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