Design Strength of Axially Loaded Composite Column Calculator

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

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Design Strength of Axially Loaded Composite Column Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Gross Area of Steel Core: 51 Square Millimeter --> 51 Square Millimeter No Conversion Required
Critical Compressive Stress: 60 Megapascal --> 60 Megapascal No Conversion Required
Resistance Factor: 0.85 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_n = 0.85*A_Gross*F_cr/Φ --> 0.85*51*60/0.85

Evaluating ... ...

P_n = 3060

STEP 3: Convert Result to Output's Unit

3060 Newton --> No Conversion Required

FINAL ANSWER

3060 Newton <-- Nominal Load

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Don Bosco College of Engineering (DBCE), Goa

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< Composite Columns Calculators

Loaded Area given Design Strength of Concrete for Direct Bearing

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

Design Strength of Concrete for Direct Bearing

LaTeX 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

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

Design Strength of Axially Loaded Composite Column

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

Design Strength of Axially Loaded Composite Column Formula

LaTeX Go

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

Define Design Strength?

The load-bearing capacity of a member is 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.

Define a Column?

A column or pillar in architecture and structural engineering is a structural element that transmits, through compression, the weight of the structure above to other structural elements below. Columns are frequently used to support beams or arches on which the upper parts of walls or ceilings rest.

How to Calculate Design Strength of Axially Loaded Composite Column?

Design Strength of Axially Loaded Composite Column calculator uses Nominal Load = 0.85*Gross Area of Steel Core*Critical Compressive Stress/Resistance Factor to calculate the Nominal Load, The Design Strength of Axially Loaded Composite Column formula is defined as the load-bearing capacity of a member computed on the basis of the allowable stresses which are assumed in design. Nominal Load is denoted by P_n symbol.

How to calculate Design Strength of Axially Loaded Composite Column using this online calculator? To use this online calculator for Design Strength of Axially Loaded Composite Column, enter Gross Area of Steel Core (A_Gross), Critical Compressive Stress (F_cr) & Resistance Factor (Φ) and hit the calculate button. Here is how the Design Strength of Axially Loaded Composite Column calculation can be explained with given input values -> 3060 = 0.85*5.1E-05*60000000/0.85.

FAQ

What is Design Strength of Axially Loaded Composite Column?

The Design Strength of Axially Loaded Composite Column formula is defined as the load-bearing capacity of a member computed on the basis of the allowable stresses which are assumed in design and is represented as P_n = 0.85*A_Gross*F_cr/Φ or Nominal Load = 0.85*Gross Area of Steel Core*Critical Compressive Stress/Resistance Factor. Gross Area of Steel Core is the total area enclosed by the walls. Net area is the usable area, The Critical Compressive Stress is the force that is responsible for the deformation of the material such that the volume of the material reduces & 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.

How to calculate Design Strength of Axially Loaded Composite Column?

The Design Strength of Axially Loaded Composite Column formula is defined as the load-bearing capacity of a member computed on the basis of the allowable stresses which are assumed in design is calculated using Nominal Load = 0.85*Gross Area of Steel Core*Critical Compressive Stress/Resistance Factor. To calculate Design Strength of Axially Loaded Composite Column, you need Gross Area of Steel Core (A_Gross), Critical Compressive Stress (F_cr) & Resistance Factor (Φ). With our tool, you need to enter the respective value for Gross Area of Steel Core, Critical Compressive Stress & Resistance Factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Nominal Load?

In this formula, Nominal Load uses Gross Area of Steel Core, Critical Compressive Stress & Resistance Factor. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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