Tension Reinforcement Area for Axial-Load Capacity of Short Rectangular Members 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%
✖Width of Compression Face is the measurement or extent of something from side to side.ⓘ Width of Compression Face [b]			+10% -10%
✖Depth Rectangular Compressive Stress is defined as the depth of equivalent rectangular compressive-stress distribution, in(mm).ⓘ Depth Rectangular Compressive Stress [a]			+10% -10%
✖The Area of Compressive Reinforcement is the amount of steel required in the compression zone.ⓘ Area of Compressive Reinforcement [A'_s]			+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%
✖Axial Load Capacity is defined as the maximum load along the direction of the drive train.ⓘ Axial Load Capacity [P_u]			+10% -10%
✖The Resistance Factor accounts for the possible conditions that the actual fastener strength may be less than the calculated strength value. It is given by AISC LFRD.ⓘ Resistance Factor [Φ]			+10% -10%
✖Steel Tensile Stress is defined as the stress in the steel under tension.ⓘ Steel Tensile Stress [f_s]			+10% -10%

✖The Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength to the section.ⓘ Tension Reinforcement Area for Axial-Load Capacity of Short Rectangular Members [A_s]

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Formula

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

Formula

`"A"_{"s"} = ((0.85*"f'"_{"c"}*"b"*"a")+("A'"_{"s"}*"f"_{"y"})-("P"_{"u"}/"Φ"))/"f"_{"s"}`

Example

`"23.76562mm²"=((0.85*"55.0MPa"*"5mm"*"10.5mm")+("20.0mm²"*"250.0MPa")-("680N"/"0.850"))/"280MPa"`

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

STEP 0: Pre-Calculation Summary

Formula Used

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
A_s = ((0.85*f'_c*b*a)+(A'_s*f_y)-(P_u/Φ))/f_s
This formula uses 9 Variables

Variables Used

Area of Tension Reinforcement - (Measured in Square Meter) - The Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength to the section.
28-Day Compressive Strength of Concrete - (Measured in Pascal) - The 28-Day Compressive Strength of Concrete is the average compressive strength of concrete specimens that have been cured for 28 days.
Width of Compression Face - (Measured in Meter) - Width of Compression Face is the measurement or extent of something from side to side.
Depth Rectangular Compressive Stress - (Measured in Meter) - Depth Rectangular Compressive Stress is defined as the depth of equivalent rectangular compressive-stress distribution, in(mm).
Area of Compressive Reinforcement - (Measured in Square Meter) - The Area of Compressive Reinforcement is the amount of steel required in the compression zone.
Yield Strength of Reinforcing Steel - (Measured in Pascal) - 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.
Axial Load Capacity - (Measured in Newton) - Axial Load Capacity is defined as the maximum load along the direction of the drive train.
Resistance Factor - The Resistance Factor accounts for the possible conditions that the actual fastener strength may be less than the calculated strength value. It is given by AISC LFRD.
Steel Tensile Stress - (Measured in Pascal) - Steel Tensile Stress is defined as the stress in the steel under tension.

STEP 1: Convert Input(s) to Base Unit

28-Day Compressive Strength of Concrete: 55 Megapascal --> 55000000 Pascal (Check conversion here)
Width of Compression Face: 5 Millimeter --> 0.005 Meter (Check conversion here)
Depth Rectangular Compressive Stress: 10.5 Millimeter --> 0.0105 Meter (Check conversion here)
Area of Compressive Reinforcement: 20 Square Millimeter --> 2E-05 Square Meter (Check conversion here)
Yield Strength of Reinforcing Steel: 250 Megapascal --> 250000000 Pascal (Check conversion here)
Axial Load Capacity: 680 Newton --> 680 Newton No Conversion Required
Resistance Factor: 0.85 --> No Conversion Required
Steel Tensile Stress: 280 Megapascal --> 280000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_s = ((0.85*f'_c*b*a)+(A'_s*f_y)-(P_u/Φ))/f_s --> ((0.85*55000000*0.005*0.0105)+(2E-05*250000000)-(680/0.85))/280000000

Evaluating ... ...

A_s = 2.3765625E-05

STEP 3: Convert Result to Output's Unit

2.3765625E-05 Square Meter -->23.765625 Square Millimeter (Check conversion here)

FINAL ANSWER

23.765625 ≈ 23.76562 Square Millimeter <-- Area of Tension Reinforcement

(Calculation completed in 00.004 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

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

Define Tension Reinforcement Area

The Tension Reinforcement Area is defined as the area of reinforcement within an effective tension area of concrete. The effective tension area is that area of the concrete cross-section which will crack due to the tension developed in bending.

How to Calculate Tension Reinforcement Area for Axial-Load Capacity of Short Rectangular Members?

Tension Reinforcement Area for Axial-Load Capacity of Short Rectangular Members calculator uses 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 to calculate the Area of Tension Reinforcement, The Tension Reinforcement Area for Axial-Load Capacity of Short Rectangular Members is defined as the area of reinforcement within an effective tension area of concrete. The effective tension area is that area of the concrete cross-section which will crack due to the tension developed in bending. Area of Tension Reinforcement is denoted by A_s symbol.

How to calculate Tension Reinforcement Area for Axial-Load Capacity of Short Rectangular Members using this online calculator? To use this online calculator for Tension Reinforcement Area for Axial-Load Capacity of Short Rectangular Members, enter 28-Day Compressive Strength of Concrete (f'_c), Width of Compression Face (b), Depth Rectangular Compressive Stress (a), Area of Compressive Reinforcement (A'_s), Yield Strength of Reinforcing Steel (f_y), Axial Load Capacity (P_u), Resistance Factor (Φ) & Steel Tensile Stress (f_s) and hit the calculate button. Here is how the Tension Reinforcement Area for Axial-Load Capacity of Short Rectangular Members calculation can be explained with given input values -> 2.4E+7 = ((0.85*55000000*0.005*0.0105)+(2E-05*250000000)-(680/0.85))/280000000.

FAQ

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

The Tension Reinforcement Area for Axial-Load Capacity of Short Rectangular Members is defined as the area of reinforcement within an effective tension area of concrete. The effective tension area is that area of the concrete cross-section which will crack due to the tension developed in bending and is represented as A_s = ((0.85*f'_c*b*a)+(A'_s*f_y)-(P_u/Φ))/f_s or 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. The 28-Day Compressive Strength of Concrete is the average compressive strength of concrete specimens that have been cured for 28 days, Width of Compression Face is the measurement or extent of something from side to side, Depth Rectangular Compressive Stress is defined as the depth of equivalent rectangular compressive-stress distribution, in(mm), The Area of Compressive Reinforcement is the amount of steel required in the compression zone, 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, Axial Load Capacity is defined as the maximum load along the direction of the drive train, The Resistance Factor accounts for the possible conditions that the actual fastener strength may be less than the calculated strength value. It is given by AISC LFRD & Steel Tensile Stress is defined as the stress in the steel under tension.

How to calculate Tension Reinforcement Area for Axial-Load Capacity of Short Rectangular Members?

The Tension Reinforcement Area for Axial-Load Capacity of Short Rectangular Members is defined as the area of reinforcement within an effective tension area of concrete. The effective tension area is that area of the concrete cross-section which will crack due to the tension developed in bending is calculated using 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. To calculate Tension Reinforcement Area for Axial-Load Capacity of Short Rectangular Members, you need 28-Day Compressive Strength of Concrete (f'_c), Width of Compression Face (b), Depth Rectangular Compressive Stress (a), Area of Compressive Reinforcement (A'_s), Yield Strength of Reinforcing Steel (f_y), Axial Load Capacity (P_u), Resistance Factor (Φ) & Steel Tensile Stress (f_s). With our tool, you need to enter the respective value for 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 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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