Tension Reinforcement Area given Axial Load for Tied Columns Calculator

✖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.ⓘ Bending Moment [M]			+10% -10%
✖Yield Strength of Reinforcement is stress at which a predetermined amount of permanent deformation occurs.ⓘ Yield Strength of Reinforcement [f_y]			+10% -10%
✖Distance from Compression to Tensile Reinforcement is defined as the distance from extreme compression surface to the centroid of tensile reinforcement, in (mm).ⓘ Distance from Compression to Tensile Reinforcement [d]			+10% -10%
✖Distance Compression to Centroid Reinforcement is defined as the distance from extreme compression surface to the centroid of compression reinforcement, in (mm).ⓘ Distance Compression to Centroid Reinforcement [d']			+10% -10%

✖Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength for the section.ⓘ Tension Reinforcement Area given Axial Load for Tied Columns [A]

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Formula

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Tension Reinforcement Area given Axial Load for Tied Columns

Formula

`"A" = ("M")/(0.40*"f"_{"y"}*("d"-"d'"))`

Example

`"9.532435m²"=("400kN*m")/(0.40*"9.99MPa"*("20.001mm"-"9.5mm"))`

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Tension Reinforcement Area given Axial Load for Tied Columns Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Tension Reinforcement = (Bending Moment)/(0.40*Yield Strength of Reinforcement*(Distance from Compression to Tensile Reinforcement-Distance Compression to Centroid Reinforcement))
A = (M)/(0.40*f_y*(d-d'))
This formula uses 5 Variables

Variables Used

Area of Tension Reinforcement - (Measured in Square Meter) - Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength for the section.
Bending Moment - (Measured in Newton Meter) - 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.
Yield Strength of Reinforcement - (Measured in Pascal) - Yield Strength of Reinforcement is stress at which a predetermined amount of permanent deformation occurs.
Distance from Compression to Tensile Reinforcement - (Measured in Meter) - Distance from Compression to Tensile Reinforcement is defined as the distance from extreme compression surface to the centroid of tensile reinforcement, in (mm).
Distance Compression to Centroid Reinforcement - (Measured in Meter) - Distance Compression to Centroid Reinforcement is defined as the distance from extreme compression surface to the centroid of compression reinforcement, in (mm).

STEP 1: Convert Input(s) to Base Unit

Bending Moment: 400 Kilonewton Meter --> 400000 Newton Meter (Check conversion here)
Yield Strength of Reinforcement: 9.99 Megapascal --> 9990000 Pascal (Check conversion here)
Distance from Compression to Tensile Reinforcement: 20.001 Millimeter --> 0.020001 Meter (Check conversion here)
Distance Compression to Centroid Reinforcement: 9.5 Millimeter --> 0.0095 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (M)/(0.40*f_y*(d-d')) --> (400000)/(0.40*9990000*(0.020001-0.0095))

Evaluating ... ...

A = 9.53243501572232

STEP 3: Convert Result to Output's Unit

9.53243501572232 Square Meter --> No Conversion Required

FINAL ANSWER

9.53243501572232 ≈ 9.532435 Square Meter <-- Area of Tension Reinforcement

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Structural Engineering » Concrete Structures » Design of Compression Members » Short Columns » Design Under Axial Compression with Biaxial Bending » Tension Reinforcement Area given Axial Load for Tied Columns

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< 10+ Design Under Axial Compression with Biaxial Bending Calculators

Maximum Permissible Eccentricity for Tied Columns

Go Maximum Permissible Eccentricity = (0.67*Area Ratio of Cross Sectional Area to Gross Area*Force Ratio of Strengths of Reinforcements*Column Diameter+0.17)*Distance from Compression to Tensile Reinforcement

Reinforcement Yield Strength given Axial Load for Tied Columns

Go Yield Strength of Reinforcement = (Bending Moment)/(0.40*Area of Tension Reinforcement*(Distance from Compression to Tensile Reinforcement-Distance Compression to Centroid Reinforcement))

Tension Reinforcement Area given Axial Load for Tied Columns

Go Area of Tension Reinforcement = (Bending Moment)/(0.40*Yield Strength of Reinforcement*(Distance from Compression to Tensile Reinforcement-Distance Compression to Centroid Reinforcement))

Bending Moment for Tied Columns

Go Bending Moment = 0.40*Area of Tension Reinforcement*Yield Strength of Reinforcement*(Distance from Compression to Tensile Reinforcement-Distance Compression to Centroid Reinforcement)

Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns

Go Column Diameter = (Maximum Permissible Eccentricity-0.14*Overall Depth of Column)/(0.43*Area Ratio of Cross Sectional Area to Gross Area*Force Ratio of Strengths of Reinforcements)

Column Diameter given Maximum Permissible Eccentricity for Spiral Columns

Go Overall Depth of Column = (Maximum Permissible Eccentricity-0.43*Area Ratio of Cross Sectional Area to Gross Area*Force Ratio of Strengths of Reinforcements*Column Diameter)/0.14

Maximum Permissible Eccentricity for Spiral Columns

Go Maximum Permissible Eccentricity = 0.43*Area Ratio of Cross Sectional Area to Gross Area*Force Ratio of Strengths of Reinforcements*Column Diameter+0.14*Overall Depth of Column

Bending Moment for Spiral Columns

Go Bending Moment = 0.12*Total Area*Yield Strength of Reinforcement*Bar Diameter

Axial Moment at Balanced Condition

Go Moment at Balanced Condition = Axial Load at Balanced Condition*Maximum Permissible Eccentricity

Axial Load at Balanced Condition

Go Axial Load at Balanced Condition = Moment at Balanced Condition/Maximum Permissible Eccentricity

Tension Reinforcement Area given Axial Load for Tied Columns Formula

What is Tension Reinforcement Area?

Tension Reinforcement area is that area of the concrete cross-section which will crack due to the tension developed in bending.

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

Tension Reinforcement Area given Axial Load for Tied Columns calculator 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 calculate 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 calculate Tension Reinforcement Area given Axial Load for Tied Columns using this online calculator? To use this online calculator 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. Here is how the Tension Reinforcement Area given Axial Load for Tied Columns calculation can be explained with given input values -> 10.00901 = (400000)/(0.40*9990000*(0.020001-0.0095)).

FAQ

What is Tension Reinforcement Area given Axial Load for Tied Columns?

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 and is represented as A = (M)/(0.40*f_y*(d-d')) or Area of Tension Reinforcement = (Bending Moment)/(0.40*Yield Strength of Reinforcement*(Distance from Compression to Tensile Reinforcement-Distance Compression to Centroid Reinforcement)). 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, Yield Strength of Reinforcement is stress at which a predetermined amount of permanent deformation occurs, Distance from Compression to Tensile Reinforcement is defined as the distance from extreme compression surface to the centroid of tensile reinforcement, in (mm) & Distance Compression to Centroid Reinforcement is defined as the distance from extreme compression surface to the centroid of compression reinforcement, in (mm).

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

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 is calculated using Area of Tension Reinforcement = (Bending Moment)/(0.40*Yield Strength of Reinforcement*(Distance from Compression to Tensile Reinforcement-Distance Compression to Centroid Reinforcement)). To calculate Tension Reinforcement Area given Axial Load for Tied Columns, you need Bending Moment (M), Yield Strength of Reinforcement (f_y), Distance from Compression to Tensile Reinforcement (d) & Distance Compression to Centroid Reinforcement (d'). With our tool, you need to enter the respective value for Bending Moment, Yield Strength of Reinforcement, Distance from Compression to Tensile Reinforcement & Distance Compression to Centroid Reinforcement and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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