Total Allowable Axial Load for Short Columns Calculator

✖Gross Area of Column is the total area enclosed by the column.ⓘ Gross Area of Column [A_g]			+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%

✖Allowable load is the maximum working load that can be applied on the structure.ⓘ Total Allowable Axial Load for Short Columns [P_allow]

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Formula

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Total Allowable Axial Load for Short Columns

Formula

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

Example

`"16.02402kN"="500mm²"*(0.25*"80Pa"+"4.001N/mm²"*"8.01")`

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Total Allowable Axial Load for Short Columns Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
P_allow = A_g*(0.25*f'_c+f'_s*p_g)
This formula uses 5 Variables

Variables Used

Allowable Load - (Measured in Newton) - Allowable load is the maximum working load that can be applied on the structure.
Gross Area of Column - (Measured in Square Meter) - Gross Area of Column is the total area enclosed by the column.
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

Gross Area of Column: 500 Square Millimeter --> 0.0005 Square Meter (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

P_allow = A_g*(0.25*f'_c+f'_s*p_g) --> 0.0005*(0.25*80+4001000*8.01)

Evaluating ... ...

P_allow = 16024.015

STEP 3: Convert Result to Output's Unit

16024.015 Newton -->16.024015 Kilonewton (Check conversion here)

FINAL ANSWER

16.024015 ≈ 16.02402 Kilonewton <-- Allowable Load

(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 » Total Allowable Axial Load for Short Columns

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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)

Total Allowable Axial Load for Short Columns Formula

What is Axial Load and Radial Load?

Load can be applied to bearings in either of two basic directions. Radial loads act at right angles to the shaft (bearing's axis of rotation). Axial (thrust) acts parallel to the axis of rotation.

How to Calculate Total Allowable Axial Load for Short Columns?

Total Allowable Axial Load for Short Columns calculator uses 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) to calculate the Allowable Load, The Total Allowable Axial Load for Short Columns formula is defined as the maximum applying a force on a structure directly along an axis of the structure or column. Allowable Load is denoted by P_allow symbol.

How to calculate Total Allowable Axial Load for Short Columns using this online calculator? To use this online calculator for Total Allowable Axial Load for Short Columns, enter Gross Area of Column (A_g), 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 Total Allowable Axial Load for Short Columns calculation can be explained with given input values -> 0.016004 = 0.0005*(0.25*80+4001000*8.01).

FAQ

What is Total Allowable Axial Load for Short Columns?

The Total Allowable Axial Load for Short Columns formula is defined as the maximum applying a force on a structure directly along an axis of the structure or column and is represented as P_allow = A_g*(0.25*f'_c+f'_s*p_g) or 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). Gross Area of Column is the total area enclosed by the column, 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 Total Allowable Axial Load for Short Columns?

The Total Allowable Axial Load for Short Columns formula is defined as the maximum applying a force on a structure directly along an axis of the structure or column is calculated using 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). To calculate Total Allowable Axial Load for Short Columns, you need Gross Area of Column (A_g), 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 Gross Area of Column, 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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