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Factored Axial Load on Member Formula

GoFactored Axial Load on Member given Gross Area of Concrete 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 \cdot A c) + (0.67 \cdot f y \cdot A st)

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

Factored Axial Load on Member Example

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Here is how the Factored Axial Load on Member equation looks like with Values.

Here is how the Factored Axial Load on Member equation looks like with Units.

Here is how the Factored Axial Load on Member equation looks like.

555.878 = (0.4 \cdot 20 \cdot 52450) + (0.67 \cdot 450 \cdot 452)

555.878kN = (0.4 \cdot 20MPa \cdot 52450mm²) + (0.67 \cdot 450MPa \cdot 452mm²)

555.878 = (0.4 \cdot 20 \cdot 52450) + (0.67 \cdot 450 \cdot 452)

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Factored Axial Load on Member Solution

Follow our step by step solution on how to calculate Factored Axial Load on Member?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P fm = (0.4 \cdot 20MPa \cdot 52450mm²) + (0.67 \cdot 450MPa \cdot 452mm²)

Next Step Prepare to Evaluate

∴

P fm = (0.4 \cdot 20 \cdot 52450) + (0.67 \cdot 450 \cdot 452)

Next Step Evaluate

∴

P fm = 555878N

LAST Step Convert to Output's Unit

∴

P fm = 555.878kN

Factored Axial Load on Member 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

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 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

Other Formulas to find Factored Load on Member

Go Factored Axial Load on Member given Gross Area of Concrete

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

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?

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

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

FAQs on Factored Axial Load on Member

What is the formula to find Factored Axial Load on Member?

The formula of Factored Axial Load on Member is expressed as Factored Load on Member = (0.4*Characteristic Compressive Strength*Area of Concrete)+(0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement). Here is an example- 0.555878 = (0.4*20000000*0.05245)+(0.67*450000000*0.000452).

How to calculate Factored Axial Load on Member?

With Characteristic Compressive Strength (f_ck), Area of Concrete (A_c), Characteristic Strength of Steel Reinforcement (f_y) & Area of Steel Reinforcement (A_st) we can find Factored Axial Load on Member using the formula - Factored Load on Member = (0.4*Characteristic Compressive Strength*Area of Concrete)+(0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement).

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+(Percentage of Compression Reinforcement/100)*(0.67*Characteristic Strength of Steel Reinforcement-0.4*Characteristic Compressive Strength))*Gross Area of Concrete

Can the Factored Axial Load on Member be negative?

No, the Factored Axial Load on Member, measured in Force cannot be negative.

Which unit is used to measure Factored Axial Load on Member?

Factored Axial Load on Member 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 can be measured.

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Factored Axial Load on Member Formula

​GoFactored Axial Load on Member given Gross Area of Concrete Formula

Factored Axial Load on Member Example

Factored Axial Load on Member Solution

Factored Axial Load on Member 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?

FAQs on Factored Axial Load on Member

Variable Name

GoFactored Axial Load on Member given Gross Area of Concrete Formula