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Area of Concrete given Factored Axial Load Formula

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

A c = \frac{(\frac{P f}{1.05}) - 0.67 \cdot f y \cdot A st}{0.4 \cdot f ck}

A_c - Area of Concrete?P_f - Factored Load?f_y - Characteristic Strength of Steel Reinforcement?A_st - Area of Steel Reinforcement?f_ck - Characteristic Compressive Strength?

Area of Concrete given Factored Axial Load Example

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Here is how the Area of Concrete given Factored Axial Load equation looks like with Values.

Here is how the Area of Concrete given Factored Axial Load equation looks like with Units.

Here is how the Area of Concrete given Factored Axial Load equation looks like.

52450.0119 = \frac{(\frac{583672}{1.05}) - 0.67 \cdot 450 \cdot 452}{0.4 \cdot 20}

52450.0119mm² = \frac{(\frac{583672kN}{1.05}) - 0.67 \cdot 450MPa \cdot 452mm²}{0.4 \cdot 20MPa}

52450.0119 = \frac{(\frac{583672}{1.05}) - 0.67 \cdot 450 \cdot 452}{0.4 \cdot 20}

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Area of Concrete given Factored Axial Load Solution

Follow our step by step solution on how to calculate Area of Concrete given Factored Axial Load?

FIRST Step Consider the formula

A c = \frac{(\frac{P f}{1.05}) - 0.67 \cdot f y \cdot A st}{0.4 \cdot f ck}

Next Step Substitute values of Variables

∴

A c = \frac{(\frac{583672kN}{1.05}) - 0.67 \cdot 450MPa \cdot 452mm²}{0.4 \cdot 20MPa}

Next Step Prepare to Evaluate

∴

A c = \frac{(\frac{583672}{1.05}) - 0.67 \cdot 450 \cdot 452}{0.4 \cdot 20}

Next Step Evaluate

∴

A c = 0.0524500119047619m²

Next Step Convert to Output's Unit

∴

A c = 52450.0119047619mm²

LAST Step Rounding Answer

∴

A c = 52450.0119mm²

Area of Concrete given Factored Axial Load Formula Elements

Variables

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

Factored Load

The factored load is multiplied by a specific factor designated by codes of practice to determine the strength of a structural member such as reinforced concrete.

Symbol: P_f

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Factored Load

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 Reinforcement

The area of steel reinforcement for columns or beams is defined as an area of vertical reinforcement which is provided to absorb the bending tensile stresses in the longitudinal direction.

Symbol: A_st

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Steel Reinforcement

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

Other formulas in Short Axially Loaded Columns with Helical Ties category

Go Factored Axial Load on Member of Spiral Columns

P f = 1.05 \cdot (0.4 \cdot f ck \cdot A c + 0.67 \cdot f y \cdot A st)

Go Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns

f ck = \frac{(\frac{P f}{1.05}) - 0.67 \cdot f y \cdot A st}{0.4 \cdot A c}

Go Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns

f y = \frac{(\frac{P f}{1.05}) - (0.4 \cdot f ck \cdot A c)}{0.67 \cdot A st}

Go Area of Longitudinal Reinforcement for Columns given Factored Axial Load in Spiral Columns

A st = \frac{(\frac{P f}{1.05}) - (0.4 \cdot f ck \cdot A c)}{0.67 \cdot f y}

How to Evaluate Area of Concrete given Factored Axial Load?

Area of Concrete given Factored Axial Load evaluator uses Area of Concrete = ((Factored Load/1.05)-0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)/(0.4*Characteristic Compressive Strength) to evaluate the Area of Concrete, the Area of Concrete given Factored Axial Load formula is defined as the area of the concrete given axial load and characteristics compressive strength. Area of Concrete is denoted by A_c symbol.

How to evaluate Area of Concrete given Factored Axial Load using this online evaluator? To use this online evaluator for Area of Concrete given Factored Axial Load, enter Factored Load (P_f), Characteristic Strength of Steel Reinforcement (f_y), Area of Steel Reinforcement (A_st) & Characteristic Compressive Strength (f_ck) and hit the calculate button.

FAQs on Area of Concrete given Factored Axial Load

What is the formula to find Area of Concrete given Factored Axial Load?

The formula of Area of Concrete given Factored Axial Load is expressed as Area of Concrete = ((Factored Load/1.05)-0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)/(0.4*Characteristic Compressive Strength). Here is an example- 5.2E+10 = ((583672000/1.05)-0.67*450000000*0.000452)/(0.4*20000000).

How to calculate Area of Concrete given Factored Axial Load?

With Factored Load (P_f), Characteristic Strength of Steel Reinforcement (f_y), Area of Steel Reinforcement (A_st) & Characteristic Compressive Strength (f_ck) we can find Area of Concrete given Factored Axial Load using the formula - Area of Concrete = ((Factored Load/1.05)-0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)/(0.4*Characteristic Compressive Strength).

Can the Area of Concrete given Factored Axial Load be negative?

No, the Area of Concrete given Factored Axial Load, measured in Area cannot be negative.

Which unit is used to measure Area of Concrete given Factored Axial Load?

Area of Concrete given Factored Axial Load is usually measured using the Square Millimeter[mm²] for Area. Square Meter[mm²], Square Kilometer[mm²], Square Centimeter[mm²] are the few other units in which Area of Concrete given Factored Axial Load can be measured.

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Area of Concrete given Factored Axial Load Formula

Area of Concrete given Factored Axial Load Example

Area of Concrete given Factored Axial Load Solution

Area of Concrete given Factored Axial Load Formula Elements

Other formulas in Short Axially Loaded Columns with Helical Ties category

How to Evaluate Area of Concrete given Factored Axial Load?

FAQs on Area of Concrete given Factored Axial Load

Variable Name