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Factored Axial Load on Member of Spiral Columns Formula

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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. Check FAQs

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

P_f - Factored Load?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 of Spiral Columns Example

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

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

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

583671.9 = 1.05 \cdot (0.4 \cdot 20 \cdot 52450 + 0.67 \cdot 450 \cdot 452)

583671.9kN = 1.05 \cdot (0.4 \cdot 20MPa \cdot 52450mm² + 0.67 \cdot 450MPa \cdot 452mm²)

583671.9 = 1.05 \cdot (0.4 \cdot 20 \cdot 52450 + 0.67 \cdot 450 \cdot 452)

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Factored Axial Load on Member of Spiral Columns Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P f = 1.05 \cdot (0.4 \cdot 20MPa \cdot 52450mm² + 0.67 \cdot 450MPa \cdot 452mm²)

Next Step Prepare to Evaluate

∴

P f = 1.05 \cdot (0.4 \cdot 20 \cdot 52450 + 0.67 \cdot 450 \cdot 452)

Next Step Evaluate

∴

P f = 583671900N

LAST Step Convert to Output's Unit

∴

P f = 583671.9kN

Factored Axial Load on Member of Spiral Columns Formula Elements

Variables

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 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 in Short Axially Loaded Columns with Helical Ties category

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 Area of Concrete given Factored Axial Load

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

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 Factored Axial Load on Member of Spiral Columns?

Factored Axial Load on Member of Spiral Columns evaluator uses Factored Load = 1.05*(0.4*Characteristic Compressive Strength*Area of Concrete+0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement) to evaluate the Factored Load, The Factored Axial Load on Member of Spiral Columns formula is defined as the force acting on an object, parallel and on its axis. Factored Load is denoted by P_f symbol.

How to evaluate Factored Axial Load on Member of Spiral Columns using this online evaluator? To use this online evaluator for Factored Axial Load on Member of Spiral Columns, 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 of Spiral Columns

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

The formula of Factored Axial Load on Member of Spiral Columns is expressed as Factored Load = 1.05*(0.4*Characteristic Compressive Strength*Area of Concrete+0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement). Here is an example- 583.6719 = 1.05*(0.4*20000000*0.05245+0.67*450000000*0.000452).

How to calculate Factored Axial Load on Member of Spiral Columns?

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 of Spiral Columns using the formula - Factored Load = 1.05*(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 of Spiral Columns be negative?

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

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

Factored Axial Load on Member of Spiral Columns 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 of Spiral Columns can be measured.

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Factored Axial Load on Member of Spiral Columns Formula

Factored Axial Load on Member of Spiral Columns Example

Factored Axial Load on Member of Spiral Columns Solution

Factored Axial Load on Member of Spiral Columns Formula Elements

Other formulas in Short Axially Loaded Columns with Helical Ties category

How to Evaluate Factored Axial Load on Member of Spiral Columns?

FAQs on Factored Axial Load on Member of Spiral Columns

Variable Name