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Tension Reinforcement Area given Axial Load for Tied Columns Formula

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

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

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

Tension Reinforcement Area given Axial Load for Tied Columns Example

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

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

Here is how the Tension Reinforcement Area given Axial Load for Tied Columns equation looks like.

9.5324 = \frac{400}{0.40 \cdot 9.99 \cdot (20.001 - 9.5)}

9.5324m² = \frac{400kN*m}{0.40 \cdot 9.99MPa \cdot (20.001mm - 9.5mm)}

9.5324 = \frac{400}{0.40 \cdot 9.99 \cdot (20.001 - 9.5)}

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Tension Reinforcement Area given Axial Load for Tied Columns Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \frac{400kN*m}{0.40 \cdot 9.99MPa \cdot (20.001mm - 9.5mm)}

Next Step Convert Units

∴

A = \frac{400000N*m}{0.40 \cdot 1E+7Pa \cdot (0.02m - 0.0095m)}

Next Step Prepare to Evaluate

∴

A = \frac{400000}{0.40 \cdot 1E+7 \cdot (0.02 - 0.0095)}

Next Step Evaluate

∴

A = 9.53243501572232m²

LAST Step Rounding Answer

∴

A = 9.5324m²

Tension Reinforcement Area given Axial Load for Tied Columns Formula Elements

Variables

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

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

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

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 Tension Reinforcement Area given Axial Load for Tied Columns?

Tension Reinforcement Area given Axial Load for Tied Columns evaluator uses Area of Tension Reinforcement = (Bending Moment)/(0.40*Yield Strength of Reinforcement*(Distance from Compression to Tensile Reinforcement-Distance Compression to Centroid Reinforcement)) to evaluate the Area of Tension Reinforcement, The Tension Reinforcement Area given Axial Load for Tied Columns formula gives the value of the reinforcing area of the tied columns. It is assumed that the plane section before bending remains the same after bending and the tensile strength of concrete is ignored. Area of Tension Reinforcement is denoted by A symbol.

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

FAQs on Tension Reinforcement Area given Axial Load for Tied Columns

What is the formula to find Tension Reinforcement Area given Axial Load for Tied Columns?

The formula of Tension Reinforcement Area given Axial Load for Tied Columns is expressed as Area of Tension Reinforcement = (Bending Moment)/(0.40*Yield Strength of Reinforcement*(Distance from Compression to Tensile Reinforcement-Distance Compression to Centroid Reinforcement)). Here is an example- 10.00901 = (400000)/(0.40*9990000*(0.020001-0.0095)).

How to calculate Tension Reinforcement Area given Axial Load for Tied Columns?

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

Can the Tension Reinforcement Area given Axial Load for Tied Columns be negative?

No, the Tension Reinforcement Area given Axial Load for Tied Columns, measured in Area cannot be negative.

Which unit is used to measure Tension Reinforcement Area given Axial Load for Tied Columns?

Tension Reinforcement Area given Axial Load for Tied Columns is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Tension Reinforcement Area given Axial Load for Tied Columns can be measured.

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Tension Reinforcement Area given Axial Load for Tied Columns Formula

Tension Reinforcement Area given Axial Load for Tied Columns Example

Tension Reinforcement Area given Axial Load for Tied Columns Solution

Tension Reinforcement Area given Axial Load for Tied Columns Formula Elements

Other formulas in Design Under Axial Compression with Biaxial Bending category

How to Evaluate Tension Reinforcement Area given Axial Load for Tied Columns?

FAQs on Tension Reinforcement Area given Axial Load for Tied Columns

Variable Name