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Reinforcement Yield Strength given Axial Load for Tied Columns Calculator

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Short Columns Estimation of Effective Length of Columns

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Design Under Axial Compression with Biaxial Bending Design of Short Column in Compression with Uniaxial Bending Design of Short Column under Axial Compression Slender Columns

✖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%
✖Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength for the section.ⓘ Area of Tension Reinforcement [A]			+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%

✖Yield Strength of Reinforcement is stress at which a predetermined amount of permanent deformation occurs.ⓘ Reinforcement Yield Strength given Axial Load for Tied Columns [f_y]

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Reinforcement Yield Strength given Axial Load for Tied Columns Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Yield Strength of Reinforcement - (Measured in Pascal) - Yield Strength of Reinforcement is stress at which a predetermined amount of permanent deformation occurs.
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.
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.
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)
Area of Tension Reinforcement: 10 Square Meter --> 10 Square Meter No Conversion Required
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

f_y = (M)/(0.40*A*(d-d')) --> (400000)/(0.40*10*(0.020001-0.0095))

Evaluating ... ...

f_y = 9522902.5807066

STEP 3: Convert Result to Output's Unit

9522902.5807066 Pascal -->9.5229025807066 Megapascal (Check conversion here)

FINAL ANSWER

9.5229025807066 ≈ 9.522903 Megapascal <-- Yield Strength of Reinforcement

(Calculation completed in 00.020 seconds)

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< Design Under Axial Compression with Biaxial Bending Calculators

Maximum Permissible Eccentricity for Tied Columns

LaTeX 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

Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns

LaTeX 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

LaTeX 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

LaTeX 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

Reinforcement Yield Strength given Axial Load for Tied Columns Formula

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What is Reinforcement Yield Strength?

Reinforcement yield strength is the value below which not more than 5% of the test outcomes are required to fall.

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

Reinforcement Yield Strength given Axial Load for Tied Columns calculator 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 calculate 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 calculate Reinforcement Yield Strength given Axial Load for Tied Columns using this online calculator? To use this online calculator 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. Here is how the Reinforcement Yield Strength given Axial Load for Tied Columns calculation can be explained with given input values -> 1E-5 = (400000)/(0.40*10*(0.020001-0.0095)).

FAQ

What is Reinforcement Yield Strength given Axial Load for Tied Columns?

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 and is represented as f_y = (M)/(0.40*A*(d-d')) or Yield Strength of Reinforcement = (Bending Moment)/(0.40*Area of Tension 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, Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength for the section, 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 Reinforcement Yield Strength given Axial Load for Tied Columns?

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 is calculated using Yield Strength of Reinforcement = (Bending Moment)/(0.40*Area of Tension Reinforcement*(Distance from Compression to Tensile Reinforcement-Distance Compression to Centroid Reinforcement)). To calculate Reinforcement Yield Strength given Axial Load for Tied Columns, you need Bending Moment (M), Area of Tension Reinforcement (A), 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, Area of Tension 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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