Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column Formula

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Gross Area of Steel Core is the total area enclosed by the walls. Net area is the usable area. Check FAQs
AGross=PnΦ0.85Fcr
AGross - Gross Area of Steel Core?Pn - Nominal Load?Φ - Resistance Factor?Fcr - Critical Compressive Stress?

Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column Example

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Here is how the Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column equation looks like with Values.

Here is how the Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column equation looks like with Units.

Here is how the Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column equation looks like.

50.0002Edit=3000.01Edit0.85Edit0.8560Edit
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Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column Solution

Follow our step by step solution on how to calculate Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column?

FIRST Step Consider the formula
AGross=PnΦ0.85Fcr
Next Step Substitute values of Variables
AGross=3000.01N0.850.8560MPa
Next Step Prepare to Evaluate
AGross=3000.010.850.8560
Next Step Evaluate
AGross=5.00001666666667E-05
Next Step Convert to Output's Unit
AGross=50.0001666666667mm²
LAST Step Rounding Answer
AGross=50.0002mm²

Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column Formula Elements

Variables
Gross Area of Steel Core
Gross Area of Steel Core is the total area enclosed by the walls. Net area is the usable area.
Symbol: AGross
Measurement: AreaUnit: mm²
Note: Value should be greater than 0.
Nominal Load
The Nominal Load for design should be according to the applicable code or specification under which the structure is designed or as dictated by the conditions involved.
Symbol: Pn
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Resistance Factor
The Resistance Factor accounts for the possible conditions that the actual fastener strength may be less than the calculated strength value. It is given by AISC LFRD.
Symbol: Φ
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Critical Compressive Stress
The Critical Compressive Stress is the force that is responsible for the deformation of the material such that the volume of the material reduces.
Symbol: Fcr
Measurement: PressureUnit: MPa
Note: Value should be greater than 0.

Other formulas in Composite Columns category

​Go Design Strength of Axially Loaded Composite Column
Pn=0.85AGrossFcrΦ
​Go Design Strength of Concrete for Direct Bearing
Pn=1.7ϕcA bf'c
​Go Loaded Area given Design Strength of Concrete for Direct Bearing
A b=Pn1.7ϕcf'c

How to Evaluate Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column?

Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column evaluator uses Gross Area of Steel Core = Nominal Load*Resistance Factor/(0.85*Critical Compressive Stress) to evaluate the Gross Area of Steel Core, The Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column is defined as the total area enclosed by the walls. The net area is the usable area. Gross Area of Steel Core is denoted by AGross symbol.

How to evaluate Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column using this online evaluator? To use this online evaluator for Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column, enter Nominal Load (Pn), Resistance Factor (Φ) & Critical Compressive Stress (Fcr) and hit the calculate button.

FAQs on Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column

What is the formula to find Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column?
The formula of Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column is expressed as Gross Area of Steel Core = Nominal Load*Resistance Factor/(0.85*Critical Compressive Stress). Here is an example- 5E+7 = 3000.01*0.85/(0.85*60000000).
How to calculate Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column?
With Nominal Load (Pn), Resistance Factor (Φ) & Critical Compressive Stress (Fcr) we can find Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column using the formula - Gross Area of Steel Core = Nominal Load*Resistance Factor/(0.85*Critical Compressive Stress).
Can the Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column be negative?
No, the Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column, measured in Area cannot be negative.
Which unit is used to measure Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column?
Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column 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 Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column can be measured.
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