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

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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. Check FAQs

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

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

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

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Here is how the Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns equation looks like with Values.

Here is how the Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns equation looks like with Units.

Here is how the Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns equation looks like.

20 = \frac{(\frac{583672}{1.05}) - 0.67 \cdot 450 \cdot 452}{0.4 \cdot 52450}

20MPa = \frac{(\frac{583672kN}{1.05}) - 0.67 \cdot 450MPa \cdot 452mm²}{0.4 \cdot 52450mm²}

20 = \frac{(\frac{583672}{1.05}) - 0.67 \cdot 450 \cdot 452}{0.4 \cdot 52450}

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

Follow our step by step solution on how to calculate Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f ck = \frac{(\frac{583672kN}{1.05}) - 0.67 \cdot 450MPa \cdot 452mm²}{0.4 \cdot 52450mm²}

Next Step Prepare to Evaluate

∴

f ck = \frac{(\frac{583672}{1.05}) - 0.67 \cdot 450 \cdot 452}{0.4 \cdot 52450}

Next Step Evaluate

∴

f ck = 20000004.5394707Pa

Next Step Convert to Output's Unit

∴

f ck = 20.0000045394707MPa

LAST Step Rounding Answer

∴

f ck = 20MPa

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

Variables

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

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

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

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

Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns evaluator uses Characteristic Compressive Strength = ((Factored Load/1.05)-0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)/(0.4*Area of Concrete) to evaluate the Characteristic Compressive Strength, The Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns formula is defined as the compressive strength of concrete, as concrete has maximum compressive strength and is its unique feature. Characteristic Compressive Strength is denoted by f_ck symbol.

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

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

What is the formula to find Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns?

The formula of Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns is expressed as Characteristic Compressive Strength = ((Factored Load/1.05)-0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)/(0.4*Area of Concrete). Here is an example- 2E-5 = ((583672000/1.05)-0.67*450000000*0.000452)/(0.4*0.05245).

How to calculate Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns?

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

Can the Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns be negative?

No, the Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns, measured in Pressure cannot be negative.

Which unit is used to measure Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns?

Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns can be measured.

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

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

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

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

Other formulas in Short Axially Loaded Columns with Helical Ties category

How to Evaluate Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns?

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

Variable Name