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

✖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.ⓘ Nominal Load [P_n]			+10% -10%
✖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.ⓘ Resistance Factor [Φ]			+10% -10%
✖The Critical Compressive Stress is the force that is responsible for the deformation of the material such that the volume of the material reduces.ⓘ Critical Compressive Stress [F_cr]			+10% -10%

✖Gross Area of Steel Core is the total area enclosed by the walls. Net area is the usable area.ⓘ Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column [A_Gross]

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Formula

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

Formula

`"A"_{"Gross"} = "P"_{"n"}*"Φ"/(0.85*"F"_{"cr"})`

Example

`"50.00017mm²"="3000.01N"*"0.850"/(0.85*"60MPa")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Gross Area of Steel Core = Nominal Load*Resistance Factor/(0.85*Critical Compressive Stress)
A_Gross = P_n*Φ/(0.85*F_cr)
This formula uses 4 Variables

Variables Used

Gross Area of Steel Core - (Measured in Square Millimeter) - Gross Area of Steel Core is the total area enclosed by the walls. Net area is the usable area.
Nominal Load - (Measured in Newton) - 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.
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.
Critical Compressive Stress - (Measured in Megapascal) - The Critical Compressive Stress is the force that is responsible for the deformation of the material such that the volume of the material reduces.

STEP 1: Convert Input(s) to Base Unit

Nominal Load: 3000.01 Newton --> 3000.01 Newton No Conversion Required
Resistance Factor: 0.85 --> No Conversion Required
Critical Compressive Stress: 60 Megapascal --> 60 Megapascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_Gross = P_n*Φ/(0.85*F_cr) --> 3000.01*0.85/(0.85*60)

Evaluating ... ...

A_Gross = 50.0001666666667

STEP 3: Convert Result to Output's Unit

5.00001666666667E-05 Square Meter -->50.0001666666667 Square Millimeter (Check conversion here)

FINAL ANSWER

50.0001666666667 ≈ 50.00017 Square Millimeter <-- Gross Area of Steel Core

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< 4 Composite Columns Calculators

Loaded Area given Design Strength of Concrete for Direct Bearing

Go Loaded Area = Nominal Load/(1.7*Strength Reduction Factor*Maximum Compressive Stress of Concrete)

Design Strength of Concrete for Direct Bearing

Go Nominal Load = 1.7*Strength Reduction Factor*Loaded Area*Maximum Compressive Stress of Concrete

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

Go Gross Area of Steel Core = Nominal Load*Resistance Factor/(0.85*Critical Compressive Stress)

Design Strength of Axially Loaded Composite Column

Go Nominal Load = 0.85*Gross Area of Steel Core*Critical Compressive Stress/Resistance Factor

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

Gross Area of Steel Core = Nominal Load*Resistance Factor/(0.85*Critical Compressive Stress)
A_Gross = P_n*Φ/(0.85*F_cr)

Define Design Strength?

The load-bearing capacity of a member computed on the basis of the allowable stresses which are assumed in design.The assumed values for the strength of concrete, and the yield stress of steel on which the theoretical ultimate strength of a section is computed.

How to Calculate 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 calculator uses Gross Area of Steel Core = Nominal Load*Resistance Factor/(0.85*Critical Compressive Stress) to calculate 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 A_Gross symbol.

How to calculate Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column using this online calculator? To use this online calculator for Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column, enter Nominal Load (P_n), Resistance Factor (Φ) & Critical Compressive Stress (F_cr) and hit the calculate button. Here is how the Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column calculation can be explained with given input values -> 5E+7 = 3000.01*0.85/(0.85*60000000).

FAQ

What is Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column?

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 and is represented as A_Gross = P_n*Φ/(0.85*F_cr) or Gross Area of Steel Core = Nominal Load*Resistance Factor/(0.85*Critical Compressive Stress). 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, 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 & The Critical Compressive Stress is the force that is responsible for the deformation of the material such that the volume of the material reduces.

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

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 is calculated using Gross Area of Steel Core = Nominal Load*Resistance Factor/(0.85*Critical Compressive Stress). To calculate Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column, you need Nominal Load (P_n), Resistance Factor (Φ) & Critical Compressive Stress (F_cr). With our tool, you need to enter the respective value for Nominal Load, Resistance Factor & Critical Compressive 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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