28-day Concrete Compressive Strength given Column Ultimate Strength Calculator

✖The Column Ultimate Strength with zero eccentricity of load.ⓘ Column Ultimate Strength [P₀]			+10% -10%
✖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.ⓘ Yield Strength of Reinforcing Steel [f_y]			+10% -10%
✖The Area of Steel Reinforcement is the cross-sectional area of steel reinforcement.ⓘ Area of Steel Reinforcement [A_st]			+10% -10%
✖The Gross Area of Column is the total area enclosed by the column.ⓘ Gross Area of Column [A_g]			+10% -10%

✖The 28-Day Compressive Strength of Concrete is the average compressive strength of concrete specimens that have been cured for 28 days.ⓘ 28-day Concrete Compressive Strength given Column Ultimate Strength [f'_c]

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28-day Concrete Compressive Strength given Column Ultimate Strength Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
f'_c = (P₀-f_y*A_st)/(0.85*(A_g-A_st))
This formula uses 5 Variables

Variables Used

28-Day Compressive Strength of Concrete - (Measured in Megapascal) - The 28-Day Compressive Strength of Concrete is the average compressive strength of concrete specimens that have been cured for 28 days.
Column Ultimate Strength - (Measured in Megapascal) - The Column Ultimate Strength with zero eccentricity of load.
Yield Strength of Reinforcing Steel - (Measured in Megapascal) - 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.
Area of Steel Reinforcement - (Measured in Square Millimeter) - The Area of Steel Reinforcement is the cross-sectional area of steel reinforcement.
Gross Area of Column - (Measured in Square Millimeter) - The Gross Area of Column is the total area enclosed by the column.

STEP 1: Convert Input(s) to Base Unit

Column Ultimate Strength: 2965.5 Megapascal --> 2965.5 Megapascal No Conversion Required
Yield Strength of Reinforcing Steel: 250 Megapascal --> 250 Megapascal No Conversion Required
Area of Steel Reinforcement: 7 Square Millimeter --> 7 Square Millimeter No Conversion Required
Gross Area of Column: 33 Square Millimeter --> 33 Square Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f'_c = (P₀-f_y*A_st)/(0.85*(A_g-A_st)) --> (2965.5-250*7)/(0.85*(33-7))

Evaluating ... ...

f'_c = 55

STEP 3: Convert Result to Output's Unit

55000000 Pascal -->55 Megapascal (Check conversion here)

FINAL ANSWER

55 Megapascal <-- 28-Day Compressive Strength of Concrete

(Calculation completed in 00.020 seconds)

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< Ultimate Strength Design of Concrete Columns Calculators

Axial Load Capacity of Short Rectangular Members

LaTeX Go Axial Load Capacity = Resistance Factor*((.85*28-Day Compressive Strength of Concrete*Width of Compression Face*Depth Rectangular Compressive Stress)+(Area of Compressive Reinforcement*Yield Strength of Reinforcing Steel)-(Area of Tension Reinforcement*Steel Tensile Stress))

28-day Concrete Compressive Strength given Column Ultimate Strength

LaTeX Go 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))

Yield Strength of Reinforcing Steel using Column Ultimate Strength

LaTeX Go 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

Column Ultimate Strength with Zero Eccentricity of Load

LaTeX Go Column Ultimate Strength = 0.85*28-Day Compressive Strength of Concrete*(Gross Area of Column-Area of Steel Reinforcement)+Yield Strength of Reinforcing Steel*Area of Steel Reinforcement

28-day Concrete Compressive Strength given Column Ultimate Strength Formula

LaTeX Go

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 28-day Concrete Compressive Strength given Column Ultimate Strength?

28-day Concrete Compressive Strength given Column Ultimate Strength calculator 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 calculate 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 calculate 28-day Concrete Compressive Strength given Column Ultimate Strength using this online calculator? To use this online calculator for 28-day Concrete Compressive Strength given Column Ultimate Strength, enter Column Ultimate Strength (P₀), Yield Strength of Reinforcing Steel (f_y), Area of Steel Reinforcement (A_st) & Gross Area of Column (A_g) and hit the calculate button. Here is how the 28-day Concrete Compressive Strength given Column Ultimate Strength calculation can be explained with given input values -> 5.5E-5 = (2965500000-250000000*7E-06)/(0.85*(3.3E-05-7E-06)).

FAQ

What is 28-day Concrete Compressive Strength given Column Ultimate Strength?

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 and is represented as f'_c = (P₀-f_y*A_st)/(0.85*(A_g-A_st)) or 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)). The Column Ultimate Strength with zero eccentricity of load, 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, The Area of Steel Reinforcement is the cross-sectional area of steel reinforcement & The Gross Area of Column is the total area enclosed by the column.

How to calculate 28-day Concrete Compressive Strength given Column Ultimate Strength?

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 is calculated using 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 calculate 28-day Concrete Compressive Strength given Column Ultimate Strength, you need Column Ultimate Strength (P₀), Yield Strength of Reinforcing Steel (f_y), Area of Steel Reinforcement (A_st) & Gross Area of Column (A_g). With our tool, you need to enter the respective value for Column Ultimate Strength, Yield Strength of Reinforcing Steel, Area of Steel Reinforcement & Gross Area of Column 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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