Buckling Stress when Q Factor is Greater than 1 Calculator

✖Yield strength of steel is the level of stress that corresponds to the yield point.ⓘ Yield Strength of Steel [f_y]			+10% -10%
✖Q Factors is geometrical constant based on the material of the member.ⓘ Q Factors [Q]			+10% -10%

✖Buckling Stress is the stress developed due to a sudden change in shape of a structural component under load, such as the bowing of a column under compression.ⓘ Buckling Stress when Q Factor is Greater than 1 [F_cr]

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Formula

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Buckling Stress when Q Factor is Greater than 1

Formula

`"F"_{"cr"} = "f"_{"y"}/(2*"Q")`

Example

`"260.4167MPa"="250MPa"/(2*"0.48")`

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Buckling Stress when Q Factor is Greater than 1 Solution

STEP 0: Pre-Calculation Summary

Formula Used

Buckling Stress = Yield Strength of Steel/(2*Q Factors)
F_cr = f_y/(2*Q)
This formula uses 3 Variables

Variables Used

Buckling Stress - (Measured in Pascal) - Buckling Stress is the stress developed due to a sudden change in shape of a structural component under load, such as the bowing of a column under compression.
Yield Strength of Steel - (Measured in Pascal) - Yield strength of steel is the level of stress that corresponds to the yield point.
Q Factors - Q Factors is geometrical constant based on the material of the member.

STEP 1: Convert Input(s) to Base Unit

Yield Strength of Steel: 250 Megapascal --> 250000000 Pascal (Check conversion here)
Q Factors: 0.48 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_cr = f_y/(2*Q) --> 250000000/(2*0.48)

Evaluating ... ...

F_cr = 260416666.666667

STEP 3: Convert Result to Output's Unit

260416666.666667 Pascal -->260.416666666667 Megapascal (Check conversion here)

FINAL ANSWER

260.416666666667 ≈ 260.4167 Megapascal <-- Buckling Stress

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Bridge and Suspension Cable » Load Factor Design (LFD) » Load and Resistance Factor for Bridge Columns » Buckling Stress when Q Factor is Greater than 1

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< 9 Load and Resistance Factor for Bridge Columns Calculators

Steel Yield Strength given Q Factor

Go Yield Strength of Steel = (2*Factor Q*pi*pi*(Radius of Gyration^2)*Modulus of Elasticity)/((Effective Length Factor*Length of Member between Supports)^2)

Q Factor

Go Factor Q = ((Effective Length Factor*Length of Member between Supports/Radius of Gyration)^2)*(Yield Strength of Steel/(2*pi*pi*Modulus of Elasticity))

Column Gross Effective Area given Maximum Strength

Go Gross Effective Area of Column = Strength of Column/(0.85*Buckling Stress)

Buckling Stress given Maximum Strength

Go Buckling Stress = Strength of Column/(0.85*Gross Effective Area of Column)

Maximum Strength for Compression Members

Go Strength of Column = 0.85*Gross Effective Area of Column*Buckling Stress

Steel Yield Strength given Buckling Stress for Q Factor Less than or Equal to 1

Go Yield Strength of Steel = Buckling Stress/(1-(Factor Q/2))

Buckling Stress for Q Factor Less than or Equal to 1

Go Buckling Stress = (1-(Factor Q/2))*Yield Strength of Steel

Buckling Stress when Q Factor is Greater than 1

Go Buckling Stress = Yield Strength of Steel/(2*Q Factors)

Steel Yield Strength given Buckling Stress for Q Factor Greater than 1

Go Yield Strength of Steel = Buckling Stress*2*Q Factors

Buckling Stress when Q Factor is Greater than 1 Formula

Buckling Stress = Yield Strength of Steel/(2*Q Factors)
F_cr = f_y/(2*Q)

What is Buckling Stress?

The elastic buckling is defined as the stress is the highest value of the compressive stress in the plane of the initially flat plate, in which a nonzero out-of-plane deflection of the middle portion of the plate can exist.

How to Calculate Buckling Stress when Q Factor is Greater than 1?

Buckling Stress when Q Factor is Greater than 1 calculator uses Buckling Stress = Yield Strength of Steel/(2*Q Factors) to calculate the Buckling Stress, The Buckling Stress when Q Factor is Greater than 1 formula is defined as the stress at which a long column is supposed to fail through bending. Buckling Stress is denoted by F_cr symbol.

How to calculate Buckling Stress when Q Factor is Greater than 1 using this online calculator? To use this online calculator for Buckling Stress when Q Factor is Greater than 1, enter Yield Strength of Steel (f_y) & Q Factors (Q) and hit the calculate button. Here is how the Buckling Stress when Q Factor is Greater than 1 calculation can be explained with given input values -> 0.00026 = 250000000/(2*0.48).

FAQ

What is Buckling Stress when Q Factor is Greater than 1?

The Buckling Stress when Q Factor is Greater than 1 formula is defined as the stress at which a long column is supposed to fail through bending and is represented as F_cr = f_y/(2*Q) or Buckling Stress = Yield Strength of Steel/(2*Q Factors). Yield strength of steel is the level of stress that corresponds to the yield point & Q Factors is geometrical constant based on the material of the member.

How to calculate Buckling Stress when Q Factor is Greater than 1?

The Buckling Stress when Q Factor is Greater than 1 formula is defined as the stress at which a long column is supposed to fail through bending is calculated using Buckling Stress = Yield Strength of Steel/(2*Q Factors). To calculate Buckling Stress when Q Factor is Greater than 1, you need Yield Strength of Steel (f_y) & Q Factors (Q). With our tool, you need to enter the respective value for Yield Strength of Steel & Q Factors 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 Buckling Stress?

In this formula, Buckling Stress uses Yield Strength of Steel & Q Factors. We can use 2 other way(s) to calculate the same, which is/are as follows -

Buckling Stress = Strength of Column/(0.85*Gross Effective Area of Column)
Buckling Stress = (1-(Factor Q/2))*Yield Strength of Steel

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