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Yield Strength of Reinforcing Steel using Column Ultimate Strength Formula

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The Yield Strength of Reinforcing Steel is the maximum stress that can be applied before it begins to change shape permanently. This is an approximation of the elastic limit of the steel. Check FAQs
fy=P0-0.85⋅f'c⋅(Ag-Ast)Ast
fy - Yield Strength of Reinforcing Steel?P0 - Column Ultimate Strength?f'c - 28-Day Compressive Strength of Concrete?Ag - Gross Area of Column?Ast - Area of Steel Reinforcement?

Yield Strength of Reinforcing Steel using Column Ultimate Strength Example

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Here is how the Yield Strength of Reinforcing Steel using Column Ultimate Strength equation looks like with Values.

Here is how the Yield Strength of Reinforcing Steel using Column Ultimate Strength equation looks like with Units.

Here is how the Yield Strength of Reinforcing Steel using Column Ultimate Strength equation looks like.

250Edit=2965.5Edit-0.85⋅55Edit⋅(33Edit-7Edit)7Edit
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Yield Strength of Reinforcing Steel using Column Ultimate Strength Solution

Follow our step by step solution on how to calculate Yield Strength of Reinforcing Steel using Column Ultimate Strength?

FIRST Step Consider the formula
fy=P0-0.85⋅f'c⋅(Ag-Ast)Ast
Next Step Substitute values of Variables
∴ fy=2965.5MPa-0.85⋅55MPa⋅(33mm²-7mm²)7mm²
Next Step Prepare to Evaluate
∴ fy=2965.5-0.85⋅55⋅(33-7)7
Next Step Evaluate
∴fy=250000000Pa
LAST Step Convert to Output's Unit
∴fy=250MPa

Yield Strength of Reinforcing Steel using Column Ultimate Strength Formula Elements

Variables
Yield Strength of Reinforcing Steel
The Yield Strength of Reinforcing Steel is the maximum stress that can be applied before it begins to change shape permanently. This is an approximation of the elastic limit of the steel.
Symbol: fy
Measurement: StressUnit: MPa
Note: Value should be greater than 0.
Formulas to find Yield Strength of Reinforcing SteelOpen Variable
Column Ultimate Strength
The Column Ultimate Strength with zero eccentricity of load.
Symbol: P0
Measurement: StressUnit: MPa
Note: Value should be greater than 0.
Formulas to find Column Ultimate StrengthOpen Variable
28-Day Compressive Strength of Concrete
The 28-Day Compressive Strength of Concrete is the average compressive strength of concrete specimens that have been cured for 28 days.
Symbol: f'c
Measurement: StressUnit: MPa
Note: Value should be greater than 0.
Formulas to find 28-Day Compressive Strength of ConcreteOpen Variable
Gross Area of Column
The Gross Area of Column is the total area enclosed by the column.
Symbol: Ag
Measurement: AreaUnit: mm²
Note: Value should be greater than 0.
Formulas to find Gross Area of ColumnOpen Variable
Area of Steel Reinforcement
The Area of Steel Reinforcement is the cross-sectional area of steel reinforcement.
Symbol: Ast
Measurement: AreaUnit: mm²
Note: Value should be greater than 0.
Formulas to find Area of Steel ReinforcementOpen Variable

Other formulas in Ultimate Strength Design of Concrete Columns category

​Go Column Ultimate Strength with Zero Eccentricity of Load
P0=0.85⋅f'c⋅(Ag-Ast)+fy⋅Ast
​Go 28-day Concrete Compressive Strength given Column Ultimate Strength
f'c=P0-fy⋅Ast0.85⋅(Ag-Ast)
​Go Axial Load Capacity of Short Rectangular Members
Pu=Φ⋅((.85⋅f'c⋅b⋅a)+(A's⋅fy)-(As⋅fs))
​Go Tensile Stress in Steel for Axial-Load Capacity of Short Rectangular Members
fs=(.85⋅f'c⋅b⋅a)+(A's⋅fy)-(PuΦ)As

How to Evaluate Yield Strength of Reinforcing Steel using Column Ultimate Strength?

Yield Strength of Reinforcing Steel using Column Ultimate Strength evaluator uses Yield Strength of Reinforcing Steel = (Column Ultimate Strength-0.85*28-Day Compressive Strength of Concrete*(Gross Area of Column-Area of Steel Reinforcement))/Area of Steel Reinforcement to evaluate the Yield Strength of Reinforcing Steel, The Yield Strength of Reinforcing Steel using Column Ultimate Strength formula is defined as the stress at which a predetermined amount of permanent deformation occurs. Yield Strength of Reinforcing Steel is denoted by fy symbol.

How to evaluate Yield Strength of Reinforcing Steel using Column Ultimate Strength using this online evaluator? To use this online evaluator for Yield Strength of Reinforcing Steel using Column Ultimate Strength, enter Column Ultimate Strength (P0), 28-Day Compressive Strength of Concrete (f'c), Gross Area of Column (Ag) & Area of Steel Reinforcement (Ast) and hit the calculate button.

FAQs on Yield Strength of Reinforcing Steel using Column Ultimate Strength

What is the formula to find Yield Strength of Reinforcing Steel using Column Ultimate Strength?
The formula of Yield Strength of Reinforcing Steel using Column Ultimate Strength is expressed as Yield Strength of Reinforcing Steel = (Column Ultimate Strength-0.85*28-Day Compressive Strength of Concrete*(Gross Area of Column-Area of Steel Reinforcement))/Area of Steel Reinforcement. Here is an example- 0.00025 = (2965500000-0.85*55000000*(3.3E-05-7E-06))/7E-06.
How to calculate Yield Strength of Reinforcing Steel using Column Ultimate Strength?
With Column Ultimate Strength (P0), 28-Day Compressive Strength of Concrete (f'c), Gross Area of Column (Ag) & Area of Steel Reinforcement (Ast) we can find Yield Strength of Reinforcing Steel using Column Ultimate Strength using the formula - Yield Strength of Reinforcing Steel = (Column Ultimate Strength-0.85*28-Day Compressive Strength of Concrete*(Gross Area of Column-Area of Steel Reinforcement))/Area of Steel Reinforcement.
Can the Yield Strength of Reinforcing Steel using Column Ultimate Strength be negative?
No, the Yield Strength of Reinforcing Steel using Column Ultimate Strength, measured in Stress cannot be negative.
Which unit is used to measure Yield Strength of Reinforcing Steel using Column Ultimate Strength?
Yield Strength of Reinforcing Steel using Column Ultimate Strength is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Yield Strength of Reinforcing Steel using Column Ultimate Strength can be measured.
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