Gross Cross-Sectional Area of Column given Total Allowable Axial Load Calculator

✖Allowable load is the maximum working load that can be applied on the structure.ⓘ Allowable Load [P_allow]			+10% -10%
✖Specified Compressive Strength at 28 Days is the capacity of a material or structure to withstand loads tending to reduce the size, as opposed to which withstands loads tending to elongate.ⓘ Specified Compressive Strength at 28 Days [f'_c]			+10% -10%
✖Allowable Stress in Vertical Reinforcement is equal to 40 percent of the minimum yield strength, but not to exceed 30,000 lb/sq.in(207 MPa).ⓘ Allowable Stress in Vertical Reinforcement [f'_s]			+10% -10%
✖Area Ratio of Cross Sectional Area to Gross Area is the ratio of cross-sectional area of vertical reinforcing steel to gross area of column.ⓘ Area Ratio of Cross Sectional Area to Gross Area [p_g]			+10% -10%

✖Gross Area of Column is the total area enclosed by the column.ⓘ Gross Cross-Sectional Area of Column given Total Allowable Axial Load [A_g]

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Formula

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Gross Cross-Sectional Area of Column given Total Allowable Axial Load

Formula

`"A"_{"g"} = "P"_{"allow"}/(0.25*"f'"_{"c"}+"f'"_{"s"}*"p"_{"g"})`

Example

`"499.251mm²"="16.00001kN"/(0.25*"80Pa"+"4.001N/mm²"*"8.01")`

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Gross Cross-Sectional Area of Column given Total Allowable Axial Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gross Area of Column = Allowable Load/(0.25*Specified Compressive Strength at 28 Days+Allowable Stress in Vertical Reinforcement*Area Ratio of Cross Sectional Area to Gross Area)
A_g = P_allow/(0.25*f'_c+f'_s*p_g)
This formula uses 5 Variables

Variables Used

Gross Area of Column - (Measured in Square Meter) - Gross Area of Column is the total area enclosed by the column.
Allowable Load - (Measured in Newton) - Allowable load is the maximum working load that can be applied on the structure.
Specified Compressive Strength at 28 Days - (Measured in Pascal) - Specified Compressive Strength at 28 Days is the capacity of a material or structure to withstand loads tending to reduce the size, as opposed to which withstands loads tending to elongate.
Allowable Stress in Vertical Reinforcement - (Measured in Pascal) - Allowable Stress in Vertical Reinforcement is equal to 40 percent of the minimum yield strength, but not to exceed 30,000 lb/sq.in(207 MPa).
Area Ratio of Cross Sectional Area to Gross Area - Area Ratio of Cross Sectional Area to Gross Area is the ratio of cross-sectional area of vertical reinforcing steel to gross area of column.

STEP 1: Convert Input(s) to Base Unit

Allowable Load: 16.00001 Kilonewton --> 16000.01 Newton (Check conversion here)
Specified Compressive Strength at 28 Days: 80 Pascal --> 80 Pascal No Conversion Required
Allowable Stress in Vertical Reinforcement: 4.001 Newton per Square Millimeter --> 4001000 Pascal (Check conversion here)
Area Ratio of Cross Sectional Area to Gross Area: 8.01 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_g = P_allow/(0.25*f'_c+f'_s*p_g) --> 16000.01/(0.25*80+4001000*8.01)

Evaluating ... ...

A_g = 0.000499250968000217

STEP 3: Convert Result to Output's Unit

0.000499250968000217 Square Meter -->499.250968000217 Square Millimeter (Check conversion here)

FINAL ANSWER

499.250968000217 ≈ 499.251 Square Millimeter <-- Gross Area of Column

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Structural Engineering » Concrete Structures » Design of Compression Members » Short Columns » Design of Short Column under Axial Compression » Gross Cross-Sectional Area of Column given Total Allowable Axial Load

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< 7 Design of Short Column under Axial Compression Calculators

Concrete Compressive Strength given Total Allowable Axial Load

Go Characteristic Compressive Strength = ((Total Allowable Load/Gross Area of Column)-(Allowable Stress in Vertical Reinforcement*Area Ratio of Cross Sectional Area to Gross Area))/0.25

Allowable Stress in Vertical Concrete Reinforcing given Total Allowable Axial Load

Go Allowable Stress in Vertical Reinforcement = (Allowable Load/Gross Area of Column-0.25*Specified Compressive Strength at 28 Days)/Area Ratio of Cross Sectional Area to Gross Area

Gross Cross-Sectional Area of Column given Total Allowable Axial Load

Go Gross Area of Column = Allowable Load/(0.25*Specified Compressive Strength at 28 Days+Allowable Stress in Vertical Reinforcement*Area Ratio of Cross Sectional Area to Gross Area)

Total Allowable Axial Load for Short Columns

Go Allowable Load = Gross Area of Column*(0.25*Specified Compressive Strength at 28 Days+Allowable Stress in Vertical Reinforcement*Area Ratio of Cross Sectional Area to Gross Area)

Spiral Volume to Concrete-Core Volume Ratio

Go Ratio of Spiral to Concrete Core Volume = 0.45*(Gross Area of Column/Cross Sectional Area of Column-1)*Specified Compressive Strength at 28 Days/Yield Strength of Steel

Allowable Bond Stress for Horizontal Tension Bars of Sizes and Deformations Conforming to ASTM A 408

Go Allowable Bond Stress = 2.1*sqrt(Specified Compressive Strength at 28 Days)

Allowable Bond Stress for Other Tension Bars of Sizes and Deformations Conforming to ASTM A 408

Go Allowable Bond Stress = 3*sqrt(Specified Compressive Strength at 28 Days)

Gross Cross-Sectional Area of Column given Total Allowable Axial Load Formula

What does Gross Area Mean?

Gross area is the total area enclosed by the walls or surface. Net area is the usable area. While the difference between gross and net area depends on the building and the region, net area typically excludes the following spaces from the gross area.

How to Calculate Gross Cross-Sectional Area of Column given Total Allowable Axial Load?

Gross Cross-Sectional Area of Column given Total Allowable Axial Load calculator uses Gross Area of Column = Allowable Load/(0.25*Specified Compressive Strength at 28 Days+Allowable Stress in Vertical Reinforcement*Area Ratio of Cross Sectional Area to Gross Area) to calculate the Gross Area of Column, The Gross Cross-Sectional Area of Column given Total Allowable Axial Load formula is defined as the total area enclosed by column. Gross Area of Column is denoted by A_g symbol.

How to calculate Gross Cross-Sectional Area of Column given Total Allowable Axial Load using this online calculator? To use this online calculator for Gross Cross-Sectional Area of Column given Total Allowable Axial Load, enter Allowable Load (P_allow), Specified Compressive Strength at 28 Days (f'_c), Allowable Stress in Vertical Reinforcement (f'_s) & Area Ratio of Cross Sectional Area to Gross Area (p_g) and hit the calculate button. Here is how the Gross Cross-Sectional Area of Column given Total Allowable Axial Load calculation can be explained with given input values -> 5E+8 = 16000.01/(0.25*80+4001000*8.01).

FAQ

What is Gross Cross-Sectional Area of Column given Total Allowable Axial Load?

The Gross Cross-Sectional Area of Column given Total Allowable Axial Load formula is defined as the total area enclosed by column and is represented as A_g = P_allow/(0.25*f'_c+f'_s*p_g) or Gross Area of Column = Allowable Load/(0.25*Specified Compressive Strength at 28 Days+Allowable Stress in Vertical Reinforcement*Area Ratio of Cross Sectional Area to Gross Area). Allowable load is the maximum working load that can be applied on the structure, Specified Compressive Strength at 28 Days is the capacity of a material or structure to withstand loads tending to reduce the size, as opposed to which withstands loads tending to elongate, Allowable Stress in Vertical Reinforcement is equal to 40 percent of the minimum yield strength, but not to exceed 30,000 lb/sq.in(207 MPa) & Area Ratio of Cross Sectional Area to Gross Area is the ratio of cross-sectional area of vertical reinforcing steel to gross area of column.

How to calculate Gross Cross-Sectional Area of Column given Total Allowable Axial Load?

The Gross Cross-Sectional Area of Column given Total Allowable Axial Load formula is defined as the total area enclosed by column is calculated using Gross Area of Column = Allowable Load/(0.25*Specified Compressive Strength at 28 Days+Allowable Stress in Vertical Reinforcement*Area Ratio of Cross Sectional Area to Gross Area). To calculate Gross Cross-Sectional Area of Column given Total Allowable Axial Load, you need Allowable Load (P_allow), Specified Compressive Strength at 28 Days (f'_c), Allowable Stress in Vertical Reinforcement (f'_s) & Area Ratio of Cross Sectional Area to Gross Area (p_g). With our tool, you need to enter the respective value for Allowable Load, Specified Compressive Strength at 28 Days, Allowable Stress in Vertical Reinforcement & Area Ratio of Cross Sectional Area to Gross Area 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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