Maximum Strength for Compression Members Calculator

✖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 [F_cr]			+10% -10%

✖Strength of Column is the maximum load that a column can hold before failing.ⓘ Maximum Strength for Compression Members [P_u]

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Formula

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Maximum Strength for Compression Members

Formula

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

Example

`"1054kN"=0.85*"5000mm²"*"248MPa"`

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Download Load Factor Design (LFD) Formulas PDF

Maximum Strength for Compression Members Solution

STEP 0: Pre-Calculation Summary

Formula Used

Strength of Column = 0.85*Gross Effective Area of Column*Buckling Stress
P_u = 0.85*A_g*F_cr
This formula uses 3 Variables

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Gross Effective Area of Column: 5000 Square Millimeter --> 0.005 Square Meter (Check conversion here)
Buckling Stress: 248 Megapascal --> 248000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_u = 0.85*A_g*F_cr --> 0.85*0.005*248000000

Evaluating ... ...

P_u = 1054000

STEP 3: Convert Result to Output's Unit

1054000 Newton -->1054 Kilonewton (Check conversion here)

FINAL ANSWER

1054 Kilonewton <-- Strength of Column

(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 » Maximum Strength for Compression Members

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Bhilai Institute of Technology (BIT), Raipur

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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

Maximum Strength for Compression Members Formula

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

What is Maximum Strength for Compression Members?

For a compression member, such as a column, the loading capacity of a short column is determined by strength limit of the material. The strength of a column of intermediate size is limited by its degree of inelasticity. A long column is constrained by the elastic limit. Ability to resist load is defined as maximum strength of members.

How to Calculate Maximum Strength for Compression Members?

Maximum Strength for Compression Members calculator uses Strength of Column = 0.85*Gross Effective Area of Column*Buckling Stress to calculate the Strength of Column, The Maximum Strength for Compression Members formula is defined as the maximum loading capacity of it and is determined by the strength limit of the material. Strength of Column is denoted by P_u symbol.

How to calculate Maximum Strength for Compression Members using this online calculator? To use this online calculator for Maximum Strength for Compression Members, enter Gross Effective Area of Column (A_g) & Buckling Stress (F_cr) and hit the calculate button. Here is how the Maximum Strength for Compression Members calculation can be explained with given input values -> 1.054 = 0.85*0.005*248000000.

FAQ

What is Maximum Strength for Compression Members?

The Maximum Strength for Compression Members formula is defined as the maximum loading capacity of it and is determined by the strength limit of the material and is represented as P_u = 0.85*A_g*F_cr or Strength of Column = 0.85*Gross Effective Area of Column*Buckling Stress. Gross Effective Area of Column cross section is the total area enclosed by the column including concrete and steel area & 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.

How to calculate Maximum Strength for Compression Members?

The Maximum Strength for Compression Members formula is defined as the maximum loading capacity of it and is determined by the strength limit of the material is calculated using Strength of Column = 0.85*Gross Effective Area of Column*Buckling Stress. To calculate Maximum Strength for Compression Members, you need Gross Effective Area of Column (A_g) & Buckling Stress (F_cr). With our tool, you need to enter the respective value for Gross Effective Area of Column & Buckling Stress 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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