Tensile Stress in Steel 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%
✖The Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength to the section.ⓘ Area of Tension Reinforcement [A_s]			+10% -10%

✖Steel Tensile Stress is defined as the stress in the steel under tension.ⓘ Tensile Stress in Steel for Axial-Load Capacity of Short Rectangular Members [f_s]

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Formula

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

Formula

`"f"_{"s"} = ((.85*"f'"_{"c"}*"b"*"a")+("A'"_{"s"}*"f"_{"y"})-("P"_{"u"}/"Φ"))/"A"_{"s"}`

Example

`"443.625MPa"=((.85*"55.0MPa"*"5mm"*"10.5mm")+("20.0mm²"*"250.0MPa")-("680N"/"0.850"))/"15mm²"`

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

STEP 0: Pre-Calculation Summary

Formula Used

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
f_s = ((.85*f'_c*b*a)+(A'_s*f_y)-(P_u/Φ))/A_s
This formula uses 9 Variables

Variables Used

Steel Tensile Stress - (Measured in Pascal) - Steel Tensile Stress is defined as the stress in the steel under tension.
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.
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.

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
Area of Tension Reinforcement: 15 Square Millimeter --> 1.5E-05 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_s = ((.85*f'_c*b*a)+(A'_s*f_y)-(P_u/Φ))/A_s --> ((.85*55000000*0.005*0.0105)+(2E-05*250000000)-(680/0.85))/1.5E-05

Evaluating ... ...

f_s = 443625000

STEP 3: Convert Result to Output's Unit

443625000 Pascal -->443.625 Megapascal (Check conversion here)

FINAL ANSWER

443.625 Megapascal <-- Steel Tensile Stress

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Columns » Ultimate Strength Design of Concrete Columns » Tensile Stress in Steel for Axial-Load Capacity of Short Rectangular Members

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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

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

Define Tensile Stress

When the material is under tension, it is known as tensile. The forces that are acting along the axis of force are responsible for the stretching of the material. The external force per unit area of the material resulting in the stretch of the material is known as tensile stress.

How to Calculate Tensile Stress in Steel for Axial-Load Capacity of Short Rectangular Members?

Tensile Stress in Steel for Axial-Load Capacity of Short Rectangular Members calculator uses 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 to calculate the Steel Tensile Stress, The Tensile Stress in Steel for Axial-Load Capacity of Short Rectangular Members is defined as the steel is under tension. The external force per unit area of the material resulting in the stretch of the material is known as tensile stress. Steel Tensile Stress is denoted by f_s symbol.

How to calculate Tensile Stress in Steel for Axial-Load Capacity of Short Rectangular Members using this online calculator? To use this online calculator for Tensile Stress in Steel 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) & Area of Tension Reinforcement (A_s) and hit the calculate button. Here is how the Tensile Stress in Steel for Axial-Load Capacity of Short Rectangular Members calculation can be explained with given input values -> 0.000444 = ((.85*55000000*0.005*0.0105)+(2E-05*250000000)-(680/0.85))/1.5E-05.

FAQ

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

The Tensile Stress in Steel for Axial-Load Capacity of Short Rectangular Members is defined as the steel is under tension. The external force per unit area of the material resulting in the stretch of the material is known as tensile stress and is represented as f_s = ((.85*f'_c*b*a)+(A'_s*f_y)-(P_u/Φ))/A_s or 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. 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 & The Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength to the section.

How to calculate Tensile Stress in Steel for Axial-Load Capacity of Short Rectangular Members?

The Tensile Stress in Steel for Axial-Load Capacity of Short Rectangular Members is defined as the steel is under tension. The external force per unit area of the material resulting in the stretch of the material is known as tensile stress is calculated using 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. To calculate Tensile Stress in Steel 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) & Area of Tension Reinforcement (A_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 & Area of Tension Reinforcement 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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