Buckling Stress given Maximum Strength Calculator

✖Strength of Column is the maximum load that a column can hold before failing.ⓘ Strength of Column [P_u]			+10% -10%
✖Gross Effective Area of Column cross section is the total area enclosed by the column including concrete and steel area.ⓘ Gross Effective Area of Column [A_g]			+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 given Maximum Strength [F_cr]

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Formula

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Buckling Stress given Maximum Strength

Formula

`"F"_{"cr"} = "P"_{"u"}/(0.85*"A"_{"g"})`

Example

`"248MPa"="1054kN"/(0.85*"5000mm²")`

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Buckling Stress given Maximum Strength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Buckling Stress = Strength of Column/(0.85*Gross Effective Area of Column)
F_cr = P_u/(0.85*A_g)
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.
Strength of Column - (Measured in Newton) - Strength of Column is the maximum load that a column can hold before failing.
Gross Effective Area of Column - (Measured in Square Meter) - Gross Effective Area of Column cross section is the total area enclosed by the column including concrete and steel area.

STEP 1: Convert Input(s) to Base Unit

Strength of Column: 1054 Kilonewton --> 1054000 Newton (Check conversion here)
Gross Effective Area of Column: 5000 Square Millimeter --> 0.005 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_cr = P_u/(0.85*A_g) --> 1054000/(0.85*0.005)

Evaluating ... ...

F_cr = 248000000

STEP 3: Convert Result to Output's Unit

248000000 Pascal -->248 Megapascal (Check conversion here)

FINAL ANSWER

248 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 given Maximum Strength

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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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 given Maximum Strength Formula

Buckling Stress = Strength of Column/(0.85*Gross Effective Area of Column)
F_cr = P_u/(0.85*A_g)

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 given Maximum Strength?

Buckling Stress given Maximum Strength calculator uses Buckling Stress = Strength of Column/(0.85*Gross Effective Area of Column) to calculate the Buckling Stress, The Buckling Stress given Maximum Strength 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 given Maximum Strength using this online calculator? To use this online calculator for Buckling Stress given Maximum Strength, enter Strength of Column (P_u) & Gross Effective Area of Column (A_g) and hit the calculate button. Here is how the Buckling Stress given Maximum Strength calculation can be explained with given input values -> 0.000248 = 1054000/(0.85*0.005).

FAQ

What is Buckling Stress given Maximum Strength?

The Buckling Stress given Maximum Strength formula is defined as the stress at which a long column is supposed to fail through bending and is represented as F_cr = P_u/(0.85*A_g) or Buckling Stress = Strength of Column/(0.85*Gross Effective Area of Column). Strength of Column is the maximum load that a column can hold before failing & Gross Effective Area of Column cross section is the total area enclosed by the column including concrete and steel area.

How to calculate Buckling Stress given Maximum Strength?

The Buckling Stress given Maximum Strength formula is defined as the stress at which a long column is supposed to fail through bending is calculated using Buckling Stress = Strength of Column/(0.85*Gross Effective Area of Column). To calculate Buckling Stress given Maximum Strength, you need Strength of Column (P_u) & Gross Effective Area of Column (A_g). With our tool, you need to enter the respective value for Strength of Column & Gross Effective Area of Column 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 Strength of Column & Gross Effective Area of Column. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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