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
fs = ((.85*f'c*b*a)+(A's*fy)-(Pu/Φ))/As
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
fs = ((.85*f'c*b*a)+(A's*fy)-(Pu/Φ))/As --> ((.85*55000000*0.005*0.0105)+(2E-05*250000000)-(680/0.85))/1.5E-05
Evaluating ... ...
fs = 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 00.020 seconds)

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Osmania University (OU), Hyderabad
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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

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

​LaTeX ​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
fs = ((.85*f'c*b*a)+(A's*fy)-(Pu/Φ))/As

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 fs 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 (fy), Axial Load Capacity (Pu), Resistance Factor (Φ) & Area of Tension Reinforcement (As) 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 fs = ((.85*f'c*b*a)+(A's*fy)-(Pu/Φ))/As 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 (fy), Axial Load Capacity (Pu), Resistance Factor (Φ) & Area of Tension Reinforcement (As). 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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