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Area of Concrete given Factored Axial Load on Member 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{P fm - 0.67 \cdot f y \cdot A st}{0.4 \cdot f ck}

A_c - Area of Concrete?P_fm - Factored Load on Member?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 on Member Example

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

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

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

52450 = \frac{555.878 - 0.67 \cdot 450 \cdot 452}{0.4 \cdot 20}

52450mm² = \frac{555.878kN - 0.67 \cdot 450MPa \cdot 452mm²}{0.4 \cdot 20MPa}

52450 = \frac{555.878 - 0.67 \cdot 450 \cdot 452}{0.4 \cdot 20}

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Area of Concrete given Factored Axial Load on Member Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A c = \frac{555.878kN - 0.67 \cdot 450MPa \cdot 452mm²}{0.4 \cdot 20MPa}

Next Step Convert Units

∴

A c = \frac{555878N - 0.67 \cdot 450MPa \cdot 452mm²}{0.4 \cdot 20MPa}

Next Step Prepare to Evaluate

∴

A c = \frac{555878 - 0.67 \cdot 450 \cdot 452}{0.4 \cdot 20}

Next Step Evaluate

∴

A c = 0.05245m²

LAST Step Convert to Output's Unit

∴

A c = 52450mm²

Area of Concrete given Factored Axial Load on Member 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 on Member

Factored Load on Member is the specific factor designated by codes of practice to determine the strength of a structural member such as reinforced concrete.

Symbol: P_fm

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Factored Load on Member

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 Tied Columns category

Go Factored Axial Load on Member

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

Go Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member

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

Go Area of Longitudinal Reinforcement given Gross Area of Concrete

A sc = p \cdot \frac{A g}{100}

Go Gross Area of concrete given Area of Longitudinal Reinforcement

A g = 100 \cdot \frac{A sc}{p}

How to Evaluate Area of Concrete given Factored Axial Load on Member?

Area of Concrete given Factored Axial Load on Member evaluator uses Area of Concrete = (Factored Load on Member-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 on Member formula is defined as an area of concrete excluding the steel reinforcement in a structural member. Area of Concrete is denoted by A_c symbol.

How to evaluate Area of Concrete given Factored Axial Load on Member using this online evaluator? To use this online evaluator for Area of Concrete given Factored Axial Load on Member, enter Factored Load on Member (P_fm), 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 on Member

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

The formula of Area of Concrete given Factored Axial Load on Member is expressed as Area of Concrete = (Factored Load on Member-0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)/(0.4*Characteristic Compressive Strength). Here is an example- 5.2E+10 = (555878-0.67*450000000*0.000452)/(0.4*20000000).

How to calculate Area of Concrete given Factored Axial Load on Member?

With Factored Load on Member (P_fm), 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 on Member using the formula - Area of Concrete = (Factored Load on Member-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 on Member be negative?

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

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

Area of Concrete given Factored Axial Load on Member 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 on Member can be measured.

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Area of Concrete given Factored Axial Load on Member Formula

Area of Concrete given Factored Axial Load on Member Example

Area of Concrete given Factored Axial Load on Member Solution

Area of Concrete given Factored Axial Load on Member Formula Elements

Other formulas in Short Axially Loaded Tied Columns category

How to Evaluate Area of Concrete given Factored Axial Load on Member?

FAQs on Area of Concrete given Factored Axial Load on Member

Variable Name