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Reinforcement Yield Strength given Axial Load for Tied Columns Formula

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Yield Strength of Reinforcement is stress at which a predetermined amount of permanent deformation occurs. Check FAQs

f y = \frac{M}{0.40 \cdot A \cdot (d - d')}

f_y - Yield Strength of Reinforcement?M - Bending Moment?A - Area of Tension Reinforcement?d - Distance from Compression to Tensile Reinforcement?d' - Distance Compression to Centroid Reinforcement?

Reinforcement Yield Strength given Axial Load for Tied Columns Example

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Here is how the Reinforcement Yield Strength given Axial Load for Tied Columns equation looks like with Values.

Here is how the Reinforcement Yield Strength given Axial Load for Tied Columns equation looks like with Units.

Here is how the Reinforcement Yield Strength given Axial Load for Tied Columns equation looks like.

9.5229 = \frac{400}{0.40 \cdot 10 \cdot (20.001 - 9.5)}

9.5229MPa = \frac{400kN*m}{0.40 \cdot 10m² \cdot (20.001mm - 9.5mm)}

9.5229 = \frac{400}{0.40 \cdot 10 \cdot (20.001 - 9.5)}

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Reinforcement Yield Strength given Axial Load for Tied Columns Solution

Follow our step by step solution on how to calculate Reinforcement Yield Strength given Axial Load for Tied Columns?

FIRST Step Consider the formula

f y = \frac{M}{0.40 \cdot A \cdot (d - d')}

Next Step Substitute values of Variables

∴

f y = \frac{400kN*m}{0.40 \cdot 10m² \cdot (20.001mm - 9.5mm)}

Next Step Convert Units

∴

f y = \frac{400000N*m}{0.40 \cdot 10m² \cdot (0.02m - 0.0095m)}

Next Step Prepare to Evaluate

∴

f y = \frac{400000}{0.40 \cdot 10 \cdot (0.02 - 0.0095)}

Next Step Evaluate

∴

f y = 9522902.5807066Pa

Next Step Convert to Output's Unit

∴

f y = 9.5229025807066MPa

LAST Step Rounding Answer

∴

f y = 9.5229MPa

Reinforcement Yield Strength given Axial Load for Tied Columns Formula Elements

Variables

Yield Strength of Reinforcement

Yield Strength of Reinforcement is stress at which a predetermined amount of permanent deformation occurs.

Symbol: f_y

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Yield Strength of Reinforcement

Bending Moment

The Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.

Symbol: M

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Bending Moment

Area of Tension Reinforcement

Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength for the section.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Tension Reinforcement

Distance from Compression to Tensile Reinforcement

Distance from Compression to Tensile Reinforcement is defined as the distance from extreme compression surface to the centroid of tensile reinforcement, in (mm).

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Compression to Tensile Reinforcement

Distance Compression to Centroid Reinforcement

Distance Compression to Centroid Reinforcement is defined as the distance from extreme compression surface to the centroid of compression reinforcement, in (mm).

Symbol: d'

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance Compression to Centroid Reinforcement

Other formulas in Design Under Axial Compression with Biaxial Bending category

Go Maximum Permissible Eccentricity for Spiral Columns

e b = 0.43 \cdot p g \cdot m \cdot D + 0.14 \cdot t

Go Maximum Permissible Eccentricity for Tied Columns

e b = (0.67 \cdot p g \cdot m \cdot D + 0.17) \cdot d

Go Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns

D = \frac{e b - 0.14 \cdot t}{0.43 \cdot p g \cdot m}

Go Column Diameter given Maximum Permissible Eccentricity for Spiral Columns

t = \frac{e b - 0.43 \cdot p g \cdot m \cdot D}{0.14}

How to Evaluate Reinforcement Yield Strength given Axial Load for Tied Columns?

Reinforcement Yield Strength given Axial Load for Tied Columns evaluator uses Yield Strength of Reinforcement = (Bending Moment)/(0.40*Area of Tension Reinforcement*(Distance from Compression to Tensile Reinforcement-Distance Compression to Centroid Reinforcement)) to evaluate the Yield Strength of Reinforcement, The Reinforcement Yield Strength given Axial Load for Tied Columns is defined as the value of the strength of the tied column. Tied columns are those in which the longitudinal bars are tied together with separate smaller diameter traverse bars spaced at some interval along the column height. Yield Strength of Reinforcement is denoted by f_y symbol.

How to evaluate Reinforcement Yield Strength given Axial Load for Tied Columns using this online evaluator? To use this online evaluator for Reinforcement Yield Strength given Axial Load for Tied Columns, enter Bending Moment (M), Area of Tension Reinforcement (A), Distance from Compression to Tensile Reinforcement (d) & Distance Compression to Centroid Reinforcement (d') and hit the calculate button.

FAQs on Reinforcement Yield Strength given Axial Load for Tied Columns

What is the formula to find Reinforcement Yield Strength given Axial Load for Tied Columns?

The formula of Reinforcement Yield Strength given Axial Load for Tied Columns is expressed as Yield Strength of Reinforcement = (Bending Moment)/(0.40*Area of Tension Reinforcement*(Distance from Compression to Tensile Reinforcement-Distance Compression to Centroid Reinforcement)). Here is an example- 1E-5 = (400000)/(0.40*10*(0.020001-0.0095)).

How to calculate Reinforcement Yield Strength given Axial Load for Tied Columns?

With Bending Moment (M), Area of Tension Reinforcement (A), Distance from Compression to Tensile Reinforcement (d) & Distance Compression to Centroid Reinforcement (d') we can find Reinforcement Yield Strength given Axial Load for Tied Columns using the formula - Yield Strength of Reinforcement = (Bending Moment)/(0.40*Area of Tension Reinforcement*(Distance from Compression to Tensile Reinforcement-Distance Compression to Centroid Reinforcement)).

Can the Reinforcement Yield Strength given Axial Load for Tied Columns be negative?

No, the Reinforcement Yield Strength given Axial Load for Tied Columns, measured in Pressure cannot be negative.

Which unit is used to measure Reinforcement Yield Strength given Axial Load for Tied Columns?

Reinforcement Yield Strength given Axial Load for Tied Columns is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Reinforcement Yield Strength given Axial Load for Tied Columns can be measured.

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Reinforcement Yield Strength given Axial Load for Tied Columns Formula

Reinforcement Yield Strength given Axial Load for Tied Columns Example

Reinforcement Yield Strength given Axial Load for Tied Columns Solution

Reinforcement Yield Strength given Axial Load for Tied Columns Formula Elements

Other formulas in Design Under Axial Compression with Biaxial Bending category

How to Evaluate Reinforcement Yield Strength given Axial Load for Tied Columns?

FAQs on Reinforcement Yield Strength given Axial Load for Tied Columns

Variable Name