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Column Gross Effective Area given Maximum Strength Formula

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Gross Effective Area of Column cross section is the total area enclosed by the column including concrete and steel area. Check FAQs

A g = \frac{P u}{0.85 \cdot F cr}

A_g - Gross Effective Area of Column?P_u - Strength of Column?F_cr - Buckling Stress?

Column Gross Effective Area given Maximum Strength Example

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With units

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Here is how the Column Gross Effective Area given Maximum Strength equation looks like with Values.

Here is how the Column Gross Effective Area given Maximum Strength equation looks like with Units.

Here is how the Column Gross Effective Area given Maximum Strength equation looks like.

5000 = \frac{1054}{0.85 \cdot 248}

5000mm² = \frac{1054kN}{0.85 \cdot 248MPa}

5000 = \frac{1054}{0.85 \cdot 248}

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Column Gross Effective Area given Maximum Strength Solution

Follow our step by step solution on how to calculate Column Gross Effective Area given Maximum Strength?

FIRST Step Consider the formula

A g = \frac{P u}{0.85 \cdot F cr}

Next Step Substitute values of Variables

∴

A g = \frac{1054kN}{0.85 \cdot 248MPa}

Next Step Convert Units

∴

A g = \frac{1.1E+6N}{0.85 \cdot 2.5E+8Pa}

Next Step Prepare to Evaluate

∴

A g = \frac{1.1E+6}{0.85 \cdot 2.5E+8}

Next Step Evaluate

∴

A g = 0.005m²

LAST Step Convert to Output's Unit

∴

A g = 5000mm²

Column Gross Effective Area given Maximum Strength Formula Elements

Variables

Gross Effective Area of Column

Gross Effective Area of Column cross section is the total area enclosed by the column including concrete and steel area.

Symbol: A_g

Measurement: AreaUnit: mm²

Note: Value can be positive or negative.

Formulas to find Gross Effective Area of Column

Strength of Column

Strength of Column is the maximum load that a column can hold before failing.

Symbol: P_u

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Strength of Column

Buckling Stress

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.

Symbol: F_cr

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Buckling Stress

Other formulas in Load and Resistance Factor for Bridge Columns category

Go Maximum Strength for Compression Members

P u = 0.85 \cdot A g \cdot F cr

Go Buckling Stress given Maximum Strength

F cr = \frac{P u}{0.85 \cdot A g}

Go Q Factor

Q factor = ({(k \cdot \frac{L c}{r})}^{2}) \cdot (\frac{f y}{2 \cdot π \cdot π \cdot E s})

Go Steel Yield Strength given Q Factor

f y = \frac{2 \cdot Q factor \cdot π \cdot π \cdot (r^{2}) \cdot E s}{{(k \cdot L c)}^{2}}

How to Evaluate Column Gross Effective Area given Maximum Strength?

Column Gross Effective Area given Maximum Strength evaluator uses Gross Effective Area of Column = Strength of Column/(0.85*Buckling Stress) to evaluate 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 evaluate Column Gross Effective Area given Maximum Strength using this online evaluator? To use this online evaluator for Column Gross Effective Area given Maximum Strength, enter Strength of Column (P_u) & Buckling Stress (F_cr) and hit the calculate button.

FAQs on Column Gross Effective Area given Maximum Strength

What is the formula to find Column Gross Effective Area given Maximum Strength?

The formula of Column Gross Effective Area given Maximum Strength is expressed as Gross Effective Area of Column = Strength of Column/(0.85*Buckling Stress). Here is an example- 5E+9 = 1054000/(0.85*248000000).

How to calculate Column Gross Effective Area given Maximum Strength?

With Strength of Column (P_u) & Buckling Stress (F_cr) we can find Column Gross Effective Area given Maximum Strength using the formula - Gross Effective Area of Column = Strength of Column/(0.85*Buckling Stress).

Can the Column Gross Effective Area given Maximum Strength be negative?

Yes, the Column Gross Effective Area given Maximum Strength, measured in Area can be negative.

Which unit is used to measure Column Gross Effective Area given Maximum Strength?

Column Gross Effective Area given Maximum Strength is usually measured using the Square Millimeter[mm²] for Area. Square Meter[mm²], Square Kilometer[mm²], Square Centimeter[mm²] are the few other units in which Column Gross Effective Area given Maximum Strength can be measured.

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