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))
fy = (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
fy = (M)/(0.40*A*(d-d')) --> (400000)/(0.40*10*(0.020001-0.0095))
Evaluating ... ...
fy = 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 00.004 seconds)

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Meerut Institute of Engineering and Technology (MIET), Meerut
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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

Reinforcement Yield Strength given Axial Load for Tied Columns Formula

Yield Strength of Reinforcement = (Bending Moment)/(0.40*Area of Tension Reinforcement*(Distance from Compression to Tensile Reinforcement-Distance Compression to Centroid Reinforcement))
fy = (M)/(0.40*A*(d-d'))

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 fy 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 fy = (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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