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Total Allowable Axial Load for Short Columns Formula

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Allowable load is the maximum working load that can be applied on the structure. Check FAQs

P allow = A g \cdot (0.25 \cdot f' c + f' s \cdot p g)

P_allow - Allowable Load?A_g - Gross Area of Column?f'_c - Specified Compressive Strength at 28 Days?f'_s - Allowable Stress in Vertical Reinforcement?p_g - Area Ratio of Cross Sectional Area to Gross Area?

Total Allowable Axial Load for Short Columns Example

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Here is how the Total Allowable Axial Load for Short Columns equation looks like with Values.

Here is how the Total Allowable Axial Load for Short Columns equation looks like with Units.

Here is how the Total Allowable Axial Load for Short Columns equation looks like.

16.024 = 500 \cdot (0.25 \cdot 80 + 4.001 \cdot 8.01)

16.024kN = 500mm² \cdot (0.25 \cdot 80Pa + 4.001N/mm² \cdot 8.01)

16.024 = 500 \cdot (0.25 \cdot 80 + 4.001 \cdot 8.01)

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Total Allowable Axial Load for Short Columns Solution

Follow our step by step solution on how to calculate Total Allowable Axial Load for Short Columns?

FIRST Step Consider the formula

P allow = A g \cdot (0.25 \cdot f' c + f' s \cdot p g)

Next Step Substitute values of Variables

∴

P allow = 500mm² \cdot (0.25 \cdot 80Pa + 4.001N/mm² \cdot 8.01)

Next Step Convert Units

∴

P allow = 0.0005m² \cdot (0.25 \cdot 80Pa + 4E+6Pa \cdot 8.01)

Next Step Prepare to Evaluate

∴

P allow = 0.0005 \cdot (0.25 \cdot 80 + 4E+6 \cdot 8.01)

Next Step Evaluate

∴

P allow = 16024.015N

Next Step Convert to Output's Unit

∴

P allow = 16.024015kN

LAST Step Rounding Answer

∴

P allow = 16.024kN

Total Allowable Axial Load for Short Columns Formula Elements

Variables

Allowable Load

Allowable load is the maximum working load that can be applied on the structure.

Symbol: P_allow

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Allowable Load

Gross Area of Column

Gross Area of Column is the total area enclosed by the column.

Symbol: A_g

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Gross Area of Column

Specified Compressive Strength at 28 Days

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.

Symbol: f'_c

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Specified Compressive Strength at 28 Days

Allowable Stress in Vertical Reinforcement

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).

Symbol: f'_s

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Allowable Stress in Vertical Reinforcement

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.

Symbol: p_g

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Area Ratio of Cross Sectional Area to Gross Area

Other formulas in Design of Short Column under Axial Compression category

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

A g = \frac{P allow}{0.25 \cdot f' c + f' s \cdot p g}

Go Concrete Compressive Strength given Total Allowable Axial Load

fck = \frac{(\frac{p T}{A g}) - (f' s \cdot p g)}{0.25}

Go Allowable Stress in Vertical Concrete Reinforcing given Total Allowable Axial Load

f' s = \frac{\frac{P allow}{A g} - 0.25 \cdot f' c}{p g}

Go Spiral Volume to Concrete-Core Volume Ratio

p s = 0.45 \cdot (\frac{A g}{A c} - 1) \cdot \frac{f' c}{fy steel}

How to Evaluate Total Allowable Axial Load for Short Columns?

Total Allowable Axial Load for Short Columns evaluator 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 evaluate 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 evaluate Total Allowable Axial Load for Short Columns using this online evaluator? To use this online evaluator 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.

FAQs on Total Allowable Axial Load for Short Columns

What is the formula to find Total Allowable Axial Load for Short Columns?

The formula of Total Allowable Axial Load for Short Columns is expressed as 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). Here is an example- 0.016004 = 0.0005*(0.25*80+4001000*8.01).

How to calculate Total Allowable Axial Load for Short Columns?

With 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) we can find Total Allowable Axial Load for Short Columns using the formula - 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).

Can the Total Allowable Axial Load for Short Columns be negative?

No, the Total Allowable Axial Load for Short Columns, measured in Force cannot be negative.

Which unit is used to measure Total Allowable Axial Load for Short Columns?

Total Allowable Axial Load for Short Columns is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Total Allowable Axial Load for Short Columns can be measured.

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Total Allowable Axial Load for Short Columns Formula

Total Allowable Axial Load for Short Columns Example

Total Allowable Axial Load for Short Columns Solution

Total Allowable Axial Load for Short Columns Formula Elements

Other formulas in Design of Short Column under Axial Compression category

How to Evaluate Total Allowable Axial Load for Short Columns?

FAQs on Total Allowable Axial Load for Short Columns

Variable Name