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Axial Load carrying Capacity of Column Formula

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Ultimate Axial Load Carrying Capacity of Column as per IS code 456 2000. Check FAQs

P u = (0.4 \cdot f ck \cdot A c) + (0.67 \cdot f y \cdot A s)

P_u - Ultimate Axial Load Carrying Capacity of Column?f_ck - Characteristic Compressive Strength?A_c - Area of Concrete?f_y - Characteristic Strength of Steel Reinforcement?A_s - Area of Steel required?

Axial Load carrying Capacity of Column Example

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Here is how the Axial Load carrying Capacity of Column equation looks like with Values.

Here is how the Axial Load carrying Capacity of Column equation looks like with Units.

Here is how the Axial Load carrying Capacity of Column equation looks like.

449.75 = (0.4 \cdot 20 \cdot 52450) + (0.67 \cdot 450 \cdot 100)

449.75kN = (0.4 \cdot 20MPa \cdot 52450mm²) + (0.67 \cdot 450MPa \cdot 100mm²)

449.75 = (0.4 \cdot 20 \cdot 52450) + (0.67 \cdot 450 \cdot 100)

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Axial Load carrying Capacity of Column Solution

Follow our step by step solution on how to calculate Axial Load carrying Capacity of Column?

FIRST Step Consider the formula

P u = (0.4 \cdot f ck \cdot A c) + (0.67 \cdot f y \cdot A s)

Next Step Substitute values of Variables

∴

P u = (0.4 \cdot 20MPa \cdot 52450mm²) + (0.67 \cdot 450MPa \cdot 100mm²)

Next Step Convert Units

∴

P u = (0.4 \cdot 2E+7Pa \cdot 0.0524m²) + (0.67 \cdot 4.5E+8Pa \cdot 0.0001m²)

Next Step Prepare to Evaluate

∴

P u = (0.4 \cdot 2E+7 \cdot 0.0524) + (0.67 \cdot 4.5E+8 \cdot 0.0001)

Next Step Evaluate

∴

P u = 449750N

LAST Step Convert to Output's Unit

∴

P u = 449.75kN

Axial Load carrying Capacity of Column Formula Elements

Variables

Ultimate Axial Load Carrying Capacity of Column

Ultimate Axial Load Carrying Capacity of Column as per IS code 456 2000.

Symbol: P_u

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Ultimate Axial Load Carrying Capacity of Column

Characteristic Compressive Strength

The Characteristic Compressive Strength is defined as the strength of the concrete below which not more than 5% of the test results are expected to fall.

Symbol: f_ck

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Characteristic Compressive Strength

Area of Concrete

The Area of Concrete is defined as the concrete area in a beam or column excluding the area of reinforcement.

Symbol: A_c

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Concrete

Characteristic Strength of Steel Reinforcement

The Characteristic Strength of Steel Reinforcement is the yield strength of steel.

Symbol: f_y

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Characteristic Strength of Steel Reinforcement

Area of Steel required

Area of steel required is the amount of steel required for resisting the shear or diagonal stress as stirrups.

Symbol: A_s

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Steel required

Other formulas in Minimum Eccentricity in Design of RCC Columns category

Go Minimum Eccentricity

e min = (\frac{L}{500}) + (\frac{b}{30})

Go Unsupported Length of Column given Minimum Eccentricity

L = (e min - (\frac{b}{30})) \cdot 500

How to Evaluate Axial Load carrying Capacity of Column?

Axial Load carrying Capacity of Column evaluator uses Ultimate Axial Load Carrying Capacity of Column = (0.4*Characteristic Compressive Strength*Area of Concrete)+(0.67*Characteristic Strength of Steel Reinforcement*Area of Steel required) to evaluate the Ultimate Axial Load Carrying Capacity of Column, The Axial Load carrying Capacity of Column is defined as the sum of product of characteristics compressive strength of concrete to area of concrete and product of ultimate tensile strength of steel to area of steel. Ultimate Axial Load Carrying Capacity of Column is denoted by P_u symbol.

How to evaluate Axial Load carrying Capacity of Column using this online evaluator? To use this online evaluator for Axial Load carrying Capacity of Column, enter Characteristic Compressive Strength (f_ck), Area of Concrete (A_c), Characteristic Strength of Steel Reinforcement (f_y) & Area of Steel required (A_s) and hit the calculate button.

FAQs on Axial Load carrying Capacity of Column

What is the formula to find Axial Load carrying Capacity of Column?

The formula of Axial Load carrying Capacity of Column is expressed as Ultimate Axial Load Carrying Capacity of Column = (0.4*Characteristic Compressive Strength*Area of Concrete)+(0.67*Characteristic Strength of Steel Reinforcement*Area of Steel required). Here is an example- 0.44975 = (0.4*20000000*0.05245)+(0.67*450000000*0.0001).

How to calculate Axial Load carrying Capacity of Column?

With Characteristic Compressive Strength (f_ck), Area of Concrete (A_c), Characteristic Strength of Steel Reinforcement (f_y) & Area of Steel required (A_s) we can find Axial Load carrying Capacity of Column using the formula - Ultimate Axial Load Carrying Capacity of Column = (0.4*Characteristic Compressive Strength*Area of Concrete)+(0.67*Characteristic Strength of Steel Reinforcement*Area of Steel required).

Can the Axial Load carrying Capacity of Column be negative?

No, the Axial Load carrying Capacity of Column, measured in Force cannot be negative.

Which unit is used to measure Axial Load carrying Capacity of Column?

Axial Load carrying Capacity of Column is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Axial Load carrying Capacity of Column can be measured.

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Axial Load carrying Capacity of Column Formula

Axial Load carrying Capacity of Column Example

Axial Load carrying Capacity of Column Solution

Axial Load carrying Capacity of Column Formula Elements

Other formulas in Minimum Eccentricity in Design of RCC Columns category

How to Evaluate Axial Load carrying Capacity of Column?

FAQs on Axial Load carrying Capacity of Column

Variable Name