Column Gross Effective Area 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%
✖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%

✖Gross Effective Area of Column cross section is the total area enclosed by the column including concrete and steel area.ⓘ Column Gross Effective Area given Maximum Strength [A_g]

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Formula

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Column Gross Effective Area given Maximum Strength

Formula

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

Example

`"5000mm²"="1054kN"/(0.85*"248MPa")`

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Download Load Factor Design (LFD) Formulas PDF

Column Gross Effective Area given Maximum Strength Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Strength of Column - (Measured in Newton) - Strength of Column is the maximum load that a column can hold before failing.
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

Strength of Column: 1054 Kilonewton --> 1054000 Newton (Check conversion here)
Buckling Stress: 248 Megapascal --> 248000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_g = P_u/(0.85*F_cr) --> 1054000/(0.85*248000000)

Evaluating ... ...

A_g = 0.005

STEP 3: Convert Result to Output's Unit

0.005 Square Meter -->5000 Square Millimeter (Check conversion here)

FINAL ANSWER

5000 Square Millimeter <-- Gross Effective Area of Column

(Calculation completed in 00.004 seconds)

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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

Column Gross Effective Area given Maximum Strength Formula

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

What is Column Gross Effective Area?

Column Gross Effective Area is defined as the area over which the load is effectively acting on the column. Gross Effective area is product of length to width for a rectangular section.

How to Calculate Column Gross Effective Area given Maximum Strength?

Column Gross Effective Area given Maximum Strength calculator uses Gross Effective Area of Column = Strength of Column/(0.85*Buckling Stress) to calculate the Gross Effective Area of Column, The Column Gross Effective Area given Maximum Strength formula is defined as an effective area resisting load coming on the column. Gross Effective Area of Column is denoted by A_g symbol.

How to calculate Column Gross Effective Area given Maximum Strength using this online calculator? To use this online calculator for Column Gross Effective Area given Maximum Strength, enter Strength of Column (P_u) & Buckling Stress (F_cr) and hit the calculate button. Here is how the Column Gross Effective Area given Maximum Strength calculation can be explained with given input values -> 5E+9 = 1054000/(0.85*248000000).

FAQ

What is Column Gross Effective Area given Maximum Strength?

The Column Gross Effective Area given Maximum Strength formula is defined as an effective area resisting load coming on the column and is represented as A_g = P_u/(0.85*F_cr) or Gross Effective Area of Column = Strength of Column/(0.85*Buckling Stress). Strength of Column is the maximum load that a column can hold before failing & 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 Column Gross Effective Area given Maximum Strength?

The Column Gross Effective Area given Maximum Strength formula is defined as an effective area resisting load coming on the column is calculated using Gross Effective Area of Column = Strength of Column/(0.85*Buckling Stress). To calculate Column Gross Effective Area given Maximum Strength, you need Strength of Column (P_u) & Buckling Stress (F_cr). With our tool, you need to enter the respective value for Strength 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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