Column Ultimate Strength with Zero Eccentricity of Load Calculator

✖The 28-Day Compressive Strength of Concrete is the average compressive strength of concrete specimens that have been cured for 28 days.ⓘ 28-Day Compressive Strength of Concrete [f'_c]			+10% -10%
✖The Gross Area of Column is the total area enclosed by the column.ⓘ Gross Area of Column [A_g]			+10% -10%
✖The Area of Steel Reinforcement is the cross-sectional area of steel reinforcement.ⓘ Area of Steel Reinforcement [A_st]			+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 Column Ultimate Strength with zero eccentricity of load.ⓘ Column Ultimate Strength with Zero Eccentricity of Load [P₀]

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Formula

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Column Ultimate Strength with Zero Eccentricity of Load

Formula

`"P"_{"0"} = 0.85*"f'"_{"c"}*("A"_{"g"}-"A"_{"st"})+"f"_{"y"}*"A"_{"st"}`

Example

`"2965.5MPa"=0.85*"55.0MPa"*("33mm²"-"7mm²")+"250.0MPa"*"7mm²"`

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Column Ultimate Strength with Zero Eccentricity of Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Column Ultimate Strength - (Measured in Megapascal) - The Column Ultimate Strength with zero eccentricity of load.
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.
Gross Area of Column - (Measured in Square Millimeter) - The Gross Area of Column is the total area enclosed by the column.
Area of Steel Reinforcement - (Measured in Square Millimeter) - The Area of Steel Reinforcement is the cross-sectional area of steel reinforcement.
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.

STEP 1: Convert Input(s) to Base Unit

28-Day Compressive Strength of Concrete: 55 Megapascal --> 55 Megapascal No Conversion Required
Gross Area of Column: 33 Square Millimeter --> 33 Square Millimeter No Conversion Required
Area of Steel Reinforcement: 7 Square Millimeter --> 7 Square Millimeter No Conversion Required
Yield Strength of Reinforcing Steel: 250 Megapascal --> 250 Megapascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P₀ = 0.85*f'_c*(A_g-A_st)+f_y*A_st --> 0.85*55*(33-7)+250*7

Evaluating ... ...

P₀ = 2965.5

STEP 3: Convert Result to Output's Unit

2965500000 Pascal -->2965.5 Megapascal (Check conversion here)

FINAL ANSWER

2965.5 Megapascal <-- Column Ultimate Strength

(Calculation completed in 00.020 seconds)

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< 9 Ultimate Strength Design of Concrete Columns Calculators

Ultimate Strength for Symmetrical Reinforcement

Go 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))))

Tension Reinforcement Area for Axial-Load Capacity of Short Rectangular Members

Go Area of Tension Reinforcement = ((0.85*28-Day Compressive Strength of Concrete*Width of Compression Face*Depth Rectangular Compressive Stress)+(Area of Compressive Reinforcement*Yield Strength of Reinforcing Steel)-(Axial Load Capacity/Resistance Factor))/Steel Tensile Stress

Compressive Reinforcement Area given Axial-Load Capacity of Short Rectangular Members

Go 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*Steel Tensile Stress))/Yield Strength of Reinforcing Steel

Tensile Stress in Steel for Axial-Load Capacity of Short Rectangular Members

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

Axial Load Capacity of Short Rectangular Members

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

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

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

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

Balanced Moment given Load and Eccentricity

Go Balanced Moment = Eccentricity of Column*Load Balanced Condition

Column Ultimate Strength with Zero Eccentricity of Load Formula

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 Column Ultimate Strength with Zero Eccentricity of Load?

Column Ultimate Strength with Zero Eccentricity of Load calculator uses 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 to calculate the Column Ultimate Strength, The Column Ultimate Strength with Zero Eccentricity of Load formula is defined as is the maximum stress that a material can withstand while being stretched or pulled before breaking or deforming. Column Ultimate Strength is denoted by P₀ symbol.

How to calculate Column Ultimate Strength with Zero Eccentricity of Load using this online calculator? To use this online calculator for Column Ultimate Strength with Zero Eccentricity of Load, enter 28-Day Compressive Strength of Concrete (f'_c), Gross Area of Column (A_g), Area of Steel Reinforcement (A_st) & Yield Strength of Reinforcing Steel (f_y) and hit the calculate button. Here is how the Column Ultimate Strength with Zero Eccentricity of Load calculation can be explained with given input values -> 0.002966 = 0.85*55000000*(3.3E-05-7E-06)+250000000*7E-06.

FAQ

What is Column Ultimate Strength with Zero Eccentricity of Load?

The Column Ultimate Strength with Zero Eccentricity of Load formula is defined as is the maximum stress that a material can withstand while being stretched or pulled before breaking or deforming and is represented as P₀ = 0.85*f'_c*(A_g-A_st)+f_y*A_st or 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. The 28-Day Compressive Strength of Concrete is the average compressive strength of concrete specimens that have been cured for 28 days, The Gross Area of Column is the total area enclosed by the column, The Area of Steel Reinforcement is the cross-sectional area of steel reinforcement & 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.

How to calculate Column Ultimate Strength with Zero Eccentricity of Load?

The Column Ultimate Strength with Zero Eccentricity of Load formula is defined as is the maximum stress that a material can withstand while being stretched or pulled before breaking or deforming is calculated using 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. To calculate Column Ultimate Strength with Zero Eccentricity of Load, you need 28-Day Compressive Strength of Concrete (f'_c), Gross Area of Column (A_g), Area of Steel Reinforcement (A_st) & Yield Strength of Reinforcing Steel (f_y). With our tool, you need to enter the respective value for 28-Day Compressive Strength of Concrete, Gross Area of Column, Area of Steel Reinforcement & Yield Strength of Reinforcing Steel 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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