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28-day Concrete Compressive Strength given Column Ultimate Strength Formula

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The 28-Day Compressive Strength of Concrete is the average compressive strength of concrete specimens that have been cured for 28 days. Check FAQs
f'c=P0-fy⋅Ast0.85⋅(Ag-Ast)
f'c - 28-Day Compressive Strength of Concrete?P0 - Column Ultimate Strength?fy - Yield Strength of Reinforcing Steel?Ast - Area of Steel Reinforcement?Ag - Gross Area of Column?

28-day Concrete Compressive Strength given Column Ultimate Strength Example

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Here is how the 28-day Concrete Compressive Strength given Column Ultimate Strength equation looks like with Values.

Here is how the 28-day Concrete Compressive Strength given Column Ultimate Strength equation looks like with Units.

Here is how the 28-day Concrete Compressive Strength given Column Ultimate Strength equation looks like.

55Edit=2965.5Edit-250Edit⋅7Edit0.85⋅(33Edit-7Edit)
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28-day Concrete Compressive Strength given Column Ultimate Strength Solution

Follow our step by step solution on how to calculate 28-day Concrete Compressive Strength given Column Ultimate Strength?

FIRST Step Consider the formula
f'c=P0-fy⋅Ast0.85⋅(Ag-Ast)
Next Step Substitute values of Variables
∴ f'c=2965.5MPa-250MPa⋅7mm²0.85⋅(33mm²-7mm²)
Next Step Prepare to Evaluate
∴ f'c=2965.5-250⋅70.85⋅(33-7)
Next Step Evaluate
∴f'c=55000000Pa
LAST Step Convert to Output's Unit
∴f'c=55MPa

28-day Concrete Compressive Strength given Column Ultimate Strength Formula Elements

Variables
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
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
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
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
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

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 Yield Strength of Reinforcing Steel using Column Ultimate Strength
fy=P0-0.85⋅f'c⋅(Ag-Ast)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 28-day Concrete Compressive Strength given Column Ultimate Strength?

28-day Concrete Compressive Strength given Column Ultimate Strength evaluator uses 28-Day Compressive Strength of Concrete = (Column Ultimate Strength-Yield Strength of Reinforcing Steel*Area of Steel Reinforcement)/(0.85*(Gross Area of Column-Area of Steel Reinforcement)) to evaluate the 28-Day Compressive Strength of Concrete, The 28-day Concrete Compressive Strength given Column Ultimate Strength formula is defined as the strength of the concrete measured after 28 days of manufacturing. 28-Day Compressive Strength of Concrete is denoted by f'c symbol.

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

FAQs on 28-day Concrete Compressive Strength given Column Ultimate Strength

What is the formula to find 28-day Concrete Compressive Strength given Column Ultimate Strength?
The formula of 28-day Concrete Compressive Strength given Column Ultimate Strength is expressed as 28-Day Compressive Strength of Concrete = (Column Ultimate Strength-Yield Strength of Reinforcing Steel*Area of Steel Reinforcement)/(0.85*(Gross Area of Column-Area of Steel Reinforcement)). Here is an example- 5.5E-5 = (2965500000-250000000*7E-06)/(0.85*(3.3E-05-7E-06)).
How to calculate 28-day Concrete Compressive Strength given Column Ultimate Strength?
With Column Ultimate Strength (P0), Yield Strength of Reinforcing Steel (fy), Area of Steel Reinforcement (Ast) & Gross Area of Column (Ag) we can find 28-day Concrete Compressive Strength given Column Ultimate Strength using the formula - 28-Day Compressive Strength of Concrete = (Column Ultimate Strength-Yield Strength of Reinforcing Steel*Area of Steel Reinforcement)/(0.85*(Gross Area of Column-Area of Steel Reinforcement)).
Can the 28-day Concrete Compressive Strength given Column Ultimate Strength be negative?
No, the 28-day Concrete Compressive Strength given Column Ultimate Strength, measured in Stress cannot be negative.
Which unit is used to measure 28-day Concrete Compressive Strength given Column Ultimate Strength?
28-day Concrete Compressive Strength given 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 28-day Concrete Compressive Strength given Column Ultimate Strength can be measured.
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