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Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns Formula

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The Characteristic Strength of Steel Reinforcement is the yield strength of steel. Check FAQs

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

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

Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns Example

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Here is how the Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns equation looks like with Values.

Here is how the Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns equation looks like with Units.

Here is how the Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns equation looks like.

450.0003 = \frac{(\frac{583672}{1.05}) - (0.4 \cdot 20 \cdot 52450)}{0.67 \cdot 452}

450.0003MPa = \frac{(\frac{583672kN}{1.05}) - (0.4 \cdot 20MPa \cdot 52450mm²)}{0.67 \cdot 452mm²}

450.0003 = \frac{(\frac{583672}{1.05}) - (0.4 \cdot 20 \cdot 52450)}{0.67 \cdot 452}

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Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns Solution

Follow our step by step solution on how to calculate Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

f y = 450000314.48321Pa

Next Step Convert to Output's Unit

∴

f y = 450.00031448321MPa

LAST Step Rounding Answer

∴

f y = 450.0003MPa

Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns Formula Elements

Variables

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

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

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 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 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 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 Strength of Compression Reinforcement given Factored Load in Spiral Columns?

Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns evaluator uses Characteristic Strength of Steel Reinforcement = ((Factored Load/1.05)-(0.4*Characteristic Compressive Strength*Area of Concrete))/(0.67*Area of Steel Reinforcement) to evaluate the Characteristic Strength of Steel Reinforcement, The Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns formula is defined as the strength of compressive reinforcement. Characteristic Strength of Steel Reinforcement is denoted by f_y symbol.

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

FAQs on Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns

What is the formula to find Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns?

The formula of Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns is expressed as Characteristic Strength of Steel Reinforcement = ((Factored Load/1.05)-(0.4*Characteristic Compressive Strength*Area of Concrete))/(0.67*Area of Steel Reinforcement). Here is an example- 0.00045 = ((583672000/1.05)-(0.4*20000000*0.05245))/(0.67*0.000452).

How to calculate Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns?

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

Can the Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns be negative?

No, the Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns, measured in Stress cannot be negative.

Which unit is used to measure Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns?

Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns can be measured.

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Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns Formula

Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns Example

Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns Solution

Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns Formula Elements

Other formulas in Short Axially Loaded Columns with Helical Ties category

How to Evaluate Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns?

FAQs on Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns

Variable Name