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Yield Strength of Reinforcing Steel when Column Ultimate Strength is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
yield_strength = (Ultimate strength-0.85*28 Day Compressive Strength of Concrete*(Gross area-Area of Reinforcement))/Area of Reinforcement
σy = (P0-0.85*fc*(Ag-AOR))/AOR
This formula uses 4 Variables
Variables Used
Ultimate strength - Ultimate strength is the maximum stress that a material can withstand while being stretched or pulled before breaking. (Measured in Newton per Square Meter)
28 Day Compressive Strength of Concrete - 28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it. (Measured in Megapascal)
Gross area - Gross area is the total area enclosed. (Measured in Square Meter)
Area of Reinforcement - Area of Reinforcement is an area of a weld that has weld metal added in excess of that specified by engineering drawings and codes (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Ultimate strength: 44 Newton per Square Meter --> 44 Pascal (Check conversion here)
28 Day Compressive Strength of Concrete: 100 Megapascal --> 100000000 Pascal (Check conversion here)
Gross area: 33 Square Meter --> 33 Square Meter No Conversion Required
Area of Reinforcement: 1 Square Meter --> 1 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σy = (P0-0.85*fc*(Ag-AOR))/AOR --> (44-0.85*100000000*(33-1))/1
Evaluating ... ...
σy = -2719999956
STEP 3: Convert Result to Output's Unit
-2719999956 Pascal -->-2719.999956 Megapascal (Check conversion here)
FINAL ANSWER
-2719.999956 Megapascal <-- Yield Strength
(Calculation completed in 00.078 seconds)

11 Other formulas that you can solve using the same Inputs

Ultimate Strength for Symmetrical Reinforcement
axial_load_capacity = 0.85*28 Day Compressive Strength of Concrete*Width of compression face*Distance from Compression to Tensile Reinforcement*Capacity reduction factor*((-Area ratio of tensile reinforcement)+1-(Eccentricity by method of frame analysis/Distance from Compression to Tensile Reinforcement)+sqrt(((1-(Eccentricity by method of frame analysis/Distance from Compression to Tensile Reinforcement))^2)+2*Area ratio of tensile reinforcement*((Force ratio of strengths of reinforcements-1)*(1-(Distance from Compression to Centroid Reinforcment/Distance from Compression to Tensile Reinforcement))+(Eccentricity by method of frame analysis/Distance from Compression to Tensile Reinforcement)))) Go
Ultimate Strength for No Compression Reinforcement
axial_load_capacity = 0.85*28 Day Compressive Strength of Concrete*Width of compression face*Distance from Compression to Tensile Reinforcement*Capacity reduction factor*((-Area ratio of tensile reinforcement*Force ratio of strengths of reinforcements)+1-(Eccentricity by method of frame analysis/Distance from Compression to Tensile Reinforcement)+sqrt(((1-(Eccentricity by method of frame analysis/Distance from Compression to Tensile Reinforcement))^2)+2*(Area ratio of tensile reinforcement*Eccentricity by method of frame analysis*Force ratio of strengths of reinforcements/Distance from Compression to Tensile Reinforcement))) Go
Balanced Moment when Φ is Given
balanced_moment = Resistance Factor*((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress*(Distance from Compression to Tensile Reinforcement-Distance from Plastic to Tensile Reinforcement-Depth Rectangular Compressive Stress/2))+(Area of Compressive Reinforcement*Yeild Strength of Base Plate*(Distance from Compression to Tensile Reinforcement-Distance from Compression to Centroid Reinforcment-Distance from Plastic to Tensile Reinforcement))+(area of tension reinforcement*Tensile Stress in Steel*Distance from Plastic to Tensile Reinforcement)) Go
Compressive Reinforcement Area when Axial-Load Capacity of Short Rectangular Members is Given
area_of_compressive_reinforcement = ((Axial Load Capacity/Resistance Factor)-(.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress)+(area of tension reinforcement*Tensile Stress in Steel))/Yeild Strength of Base Plate Go
Tension Reinforcement Area when Axial-Load Capacity of Short Rectangular Members is Given
area_of_tension_reinforcement = ((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress)+(Area of Compressive Reinforcement*Yeild Strength of Base Plate)-(Axial Load Capacity/Resistance Factor))/Tensile Stress in Steel Go
Tensile Stress in Steel when Axial-Load Capacity of Short Rectangular Members is Given
tensile_stress_in_steel = ((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress)+(Area of Compressive Reinforcement*Yeild Strength of Base Plate)-(Axial Load Capacity/Resistance Factor))/area of tension reinforcement Go
Axial-Load Capacity of Short Rectangular Members
axial_load_capacity = Resistance Factor*((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress)+(Area of Compressive Reinforcement*Yeild Strength of Base Plate)-(area of tension reinforcement*Tensile Stress in Steel)) Go
28-day Concrete Compressive Strength when Column Ultimate Strength is Given
28_day_compressive_strength_of_concrete = (Ultimate strength-Yield Strength*Area of Reinforcement)/(0.85*(Gross area-Area of Reinforcement)) Go
Column Ultimate Strength with Zero Eccentricity of Load
ultimate_strength = 0.85*28 Day Compressive Strength of Concrete*(Gross area-Area of Reinforcement)+Yield Strength*Area of Reinforcement Go
Dilution
dilution = Area of Penetration/(Area of Penetration+Area of Reinforcement) Go
Allowable Bearing Pressure when Full Area of Support is Occupied by Base Plate
allowable_bearing_pressure = 0.35*28 Day Compressive Strength of Concrete Go

3 Other formulas that calculate the same Output

Hall - Petch Relation
yield_strength = Constant in Hall Petch relation+Coefficient in Hall Petch relation*sqrt(Grain size (in mm)) Go
Yield Strength when Total Horizontal Shear Vh is Given
yield_strength = 2*Horizontal Shearing Stress/steel area Go
Yield strength when allowable stress in the flange is given
yield_strength = Allowable bearing stress/0.66 Go

Yield Strength of Reinforcing Steel when Column Ultimate Strength is Given Formula

yield_strength = (Ultimate strength-0.85*28 Day Compressive Strength of Concrete*(Gross area-Area of Reinforcement))/Area of Reinforcement
σy = (P0-0.85*fc*(Ag-AOR))/AOR

What is ultimate strength in engineering?

Ultimate Strength is the maximum stress that a material can withstand while being stretched or pulled. It is the final amount of stress sustained in a tensile test at the exact moment an object ruptures.

How to Calculate Yield Strength of Reinforcing Steel when Column Ultimate Strength is Given?

Yield Strength of Reinforcing Steel when Column Ultimate Strength is Given calculator uses yield_strength = (Ultimate strength-0.85*28 Day Compressive Strength of Concrete*(Gross area-Area of Reinforcement))/Area of Reinforcement to calculate the Yield Strength, The Yield Strength of Reinforcing Steel when Column Ultimate Strength is Given formula is defined as the stress at which a predetermined amount of permanent deformation occurs. Yield Strength and is denoted by σy symbol.

How to calculate Yield Strength of Reinforcing Steel when Column Ultimate Strength is Given using this online calculator? To use this online calculator for Yield Strength of Reinforcing Steel when Column Ultimate Strength is Given, enter Ultimate strength (P0, 28 Day Compressive Strength of Concrete (fc), Gross area (Ag) and Area of Reinforcement (AOR) and hit the calculate button. Here is how the Yield Strength of Reinforcing Steel when Column Ultimate Strength is Given calculation can be explained with given input values -> -2719.999956 = (44-0.85*100000000*(33-1))/1.

FAQ

What is Yield Strength of Reinforcing Steel when Column Ultimate Strength is Given?
The Yield Strength of Reinforcing Steel when Column Ultimate Strength is Given formula is defined as the stress at which a predetermined amount of permanent deformation occurs and is represented as σy = (P0-0.85*fc*(Ag-AOR))/AOR or yield_strength = (Ultimate strength-0.85*28 Day Compressive Strength of Concrete*(Gross area-Area of Reinforcement))/Area of Reinforcement. Ultimate strength is the maximum stress that a material can withstand while being stretched or pulled before breaking, 28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it, Gross area is the total area enclosed and Area of Reinforcement is an area of a weld that has weld metal added in excess of that specified by engineering drawings and codes.
How to calculate Yield Strength of Reinforcing Steel when Column Ultimate Strength is Given?
The Yield Strength of Reinforcing Steel when Column Ultimate Strength is Given formula is defined as the stress at which a predetermined amount of permanent deformation occurs is calculated using yield_strength = (Ultimate strength-0.85*28 Day Compressive Strength of Concrete*(Gross area-Area of Reinforcement))/Area of Reinforcement. To calculate Yield Strength of Reinforcing Steel when Column Ultimate Strength is Given, you need Ultimate strength (P0, 28 Day Compressive Strength of Concrete (fc), Gross area (Ag) and Area of Reinforcement (AOR). With our tool, you need to enter the respective value for Ultimate strength, 28 Day Compressive Strength of Concrete, Gross area and Area of Reinforcement and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Yield Strength?
In this formula, Yield Strength uses Ultimate strength, 28 Day Compressive Strength of Concrete, Gross area and Area of Reinforcement. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • yield_strength = Constant in Hall Petch relation+Coefficient in Hall Petch relation*sqrt(Grain size (in mm))
  • yield_strength = Allowable bearing stress/0.66
  • yield_strength = 2*Horizontal Shearing Stress/steel area
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