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Factored Axial Load on Member given Gross Area of Concrete Formula

GoFactored Axial Load on Member Formula

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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. Check FAQs

P fm = (0.4 \cdot f ck + (\frac{p}{100}) \cdot (0.67 \cdot f y - 0.4 \cdot f ck)) \cdot A g

P_fm - Factored Load on Member?f_ck - Characteristic Compressive Strength?p - Percentage of Compression Reinforcement?f_y - Characteristic Strength of Steel Reinforcement?A_g - Gross Area of Concrete?

Factored Axial Load on Member given Gross Area of Concrete Example

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

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

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

20.805 = (0.4 \cdot 20 + (\frac{2}{100}) \cdot (0.67 \cdot 450 - 0.4 \cdot 20)) \cdot 1500

20.805kN = (0.4 \cdot 20MPa + (\frac{2}{100}) \cdot (0.67 \cdot 450MPa - 0.4 \cdot 20MPa)) \cdot 1500mm²

20.805 = (0.4 \cdot 20 + (\frac{2}{100}) \cdot (0.67 \cdot 450 - 0.4 \cdot 20)) \cdot 1500

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Factored Axial Load on Member given Gross Area of Concrete Solution

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

FIRST Step Consider the formula

P fm = (0.4 \cdot f ck + (\frac{p}{100}) \cdot (0.67 \cdot f y - 0.4 \cdot f ck)) \cdot A g

Next Step Substitute values of Variables

∴

P fm = (0.4 \cdot 20MPa + (\frac{2}{100}) \cdot (0.67 \cdot 450MPa - 0.4 \cdot 20MPa)) \cdot 1500mm²

Next Step Convert Units

∴

P fm = (0.4 \cdot 2E+7Pa + (\frac{2}{100}) \cdot (0.67 \cdot 4.5E+8Pa - 0.4 \cdot 2E+7Pa)) \cdot 0.0015m²

Next Step Prepare to Evaluate

∴

P fm = (0.4 \cdot 2E+7 + (\frac{2}{100}) \cdot (0.67 \cdot 4.5E+8 - 0.4 \cdot 2E+7)) \cdot 0.0015

Next Step Evaluate

∴

P fm = 20805N

LAST Step Convert to Output's Unit

∴

P fm = 20.805kN

Factored Axial Load on Member given Gross Area of Concrete Formula Elements

Variables

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 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

Percentage of Compression Reinforcement

The percentage of compression reinforcement is the amount of structural reinforcement which is designed to carry compressive stresses of total gross area of concrete.

Symbol: p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Percentage of Compression Reinforcement

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

Gross Area of Concrete

Gross area of concrete is defined as total cross sectional area of column including reinforcement.

Symbol: A_g

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Gross Area of Concrete

Other Formulas to find Factored Load on Member

Go Factored Axial Load on Member

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

Other formulas in Short Axially Loaded Tied Columns category

Go Area of Concrete given Factored Axial Load on Member

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

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 Factored Axial Load on Member given Gross Area of Concrete?

Factored Axial Load on Member given Gross Area of Concrete evaluator uses Factored Load on Member = (0.4*Characteristic Compressive Strength+(Percentage of Compression Reinforcement/100)*(0.67*Characteristic Strength of Steel Reinforcement-0.4*Characteristic Compressive Strength))*Gross Area of Concrete to evaluate the Factored Load on Member, The Factored Axial Load on Member given Gross Area of Concrete formula is defined as an axial load multiplied by a certain factor designated by codes of practice to determine the strength of structural members such as reinforced concrete. Factored Load on Member is denoted by P_fm symbol.

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

FAQs on Factored Axial Load on Member given Gross Area of Concrete

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

The formula of Factored Axial Load on Member given Gross Area of Concrete is expressed as Factored Load on Member = (0.4*Characteristic Compressive Strength+(Percentage of Compression Reinforcement/100)*(0.67*Characteristic Strength of Steel Reinforcement-0.4*Characteristic Compressive Strength))*Gross Area of Concrete. Here is an example- 0.020805 = (0.4*20000000+(2/100)*(0.67*450000000-0.4*20000000))*0.0015.

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

With Characteristic Compressive Strength (f_ck), Percentage of Compression Reinforcement (p), Characteristic Strength of Steel Reinforcement (f_y) & Gross Area of Concrete (A_g) we can find Factored Axial Load on Member given Gross Area of Concrete using the formula - Factored Load on Member = (0.4*Characteristic Compressive Strength+(Percentage of Compression Reinforcement/100)*(0.67*Characteristic Strength of Steel Reinforcement-0.4*Characteristic Compressive Strength))*Gross Area of Concrete.

What are the other ways to Calculate Factored Load on Member?

Here are the different ways to Calculate Factored Load on Member-

Factored Load on Member=(0.4*Characteristic Compressive Strength*Area of Concrete)+(0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)

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

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

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

Factored Axial Load on Member given Gross Area of Concrete is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Factored Axial Load on Member given Gross Area of Concrete can be measured.

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Factored Axial Load on Member given Gross Area of Concrete Formula

​GoFactored Axial Load on Member Formula

Factored Axial Load on Member given Gross Area of Concrete Example

Factored Axial Load on Member given Gross Area of Concrete Solution

Factored Axial Load on Member given Gross Area of Concrete Formula Elements

Other Formulas to find Factored Load on Member

Other formulas in Short Axially Loaded Tied Columns category

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

FAQs on Factored Axial Load on Member given Gross Area of Concrete

Variable Name

GoFactored Axial Load on Member Formula