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

STEP 0: Pre-Calculation Summary
Formula Used
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
A's = ((Pu/Φ)-(.85*f'c*b*a)+(As*fs))/fy
This formula uses 9 Variables
Variables Used
Area of Compressive Reinforcement - (Measured in Square Millimeter) - The Area of Compressive Reinforcement is the amount of steel required in the compression zone.
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.
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 Tension Reinforcement - (Measured in Square Millimeter) - The Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength to the section.
Steel Tensile Stress - (Measured in Pascal) - Steel Tensile Stress is defined as the stress in the steel under tension.
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.
STEP 1: Convert Input(s) to Base Unit
Axial Load Capacity: 680 Newton --> 680 Newton No Conversion Required
Resistance Factor: 0.85 --> No Conversion Required
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 Tension Reinforcement: 15 Square Millimeter --> 15 Square Millimeter No Conversion Required
Steel Tensile Stress: 280 Megapascal --> 280000000 Pascal (Check conversion here)
Yield Strength of Reinforcing Steel: 250 Megapascal --> 250000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A's = ((Pu/Φ)-(.85*f'c*b*a)+(As*fs))/fy --> ((680/0.85)-(.85*55000000*0.005*0.0105)+(15*280000000))/250000000
Evaluating ... ...
A's = 16.7999933825
STEP 3: Convert Result to Output's Unit
1.67999933825E-05 Square Meter -->16.7999933825 Square Millimeter (Check conversion here)
FINAL ANSWER
16.7999933825 16.79999 Square Millimeter <-- Area of Compressive Reinforcement
(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad
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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

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

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

Define Axial Load Capacity

The axial capacity is largely dependent on the shaft friction developed between the conductor walls and the soil. No end-bearing resistance is considered. The overall axial capacity is equal to the initial capacity immediately after installation plus added components arising from soil restoration set-up time.

How to Calculate Compressive Reinforcement Area given Axial-Load Capacity of Short Rectangular Members?

Compressive Reinforcement Area given Axial-Load Capacity of Short Rectangular Members calculator uses 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 to calculate the Area of Compressive Reinforcement, The Compressive Reinforcement Area given Axial-Load Capacity of Short Rectangular Members formula is usually provided to retain the longitudinal reinforcement and also to take the shear to which the structure is subjected. Area of Compressive Reinforcement is denoted by A's symbol.

How to calculate Compressive Reinforcement Area given Axial-Load Capacity of Short Rectangular Members using this online calculator? To use this online calculator for Compressive Reinforcement Area given Axial-Load Capacity of Short Rectangular Members, enter Axial Load Capacity (Pu), Resistance Factor (Φ), 28-Day Compressive Strength of Concrete (f'c), Width of Compression Face (b), Depth Rectangular Compressive Stress (a), Area of Tension Reinforcement (As), Steel Tensile Stress (fs) & Yield Strength of Reinforcing Steel (fy) and hit the calculate button. Here is how the Compressive Reinforcement Area given Axial-Load Capacity of Short Rectangular Members calculation can be explained with given input values -> 1.7E+7 = ((680/0.85)-(.85*55000000*0.005*0.0105)+(1.5E-05*280000000))/250000000.

FAQ

What is Compressive Reinforcement Area given Axial-Load Capacity of Short Rectangular Members?
The Compressive Reinforcement Area given Axial-Load Capacity of Short Rectangular Members formula is usually provided to retain the longitudinal reinforcement and also to take the shear to which the structure is subjected and is represented as A's = ((Pu/Φ)-(.85*f'c*b*a)+(As*fs))/fy or 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. 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 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 Tension Reinforcement is the space occupied by the steel in order to impart tensile strength to the section, Steel Tensile Stress is defined as the stress in the steel under tension & 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 Compressive Reinforcement Area given Axial-Load Capacity of Short Rectangular Members?
The Compressive Reinforcement Area given Axial-Load Capacity of Short Rectangular Members formula is usually provided to retain the longitudinal reinforcement and also to take the shear to which the structure is subjected is calculated using 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. To calculate Compressive Reinforcement Area given Axial-Load Capacity of Short Rectangular Members, you need Axial Load Capacity (Pu), Resistance Factor (Φ), 28-Day Compressive Strength of Concrete (f'c), Width of Compression Face (b), Depth Rectangular Compressive Stress (a), Area of Tension Reinforcement (As), Steel Tensile Stress (fs) & Yield Strength of Reinforcing Steel (fy). With our tool, you need to enter the respective value for Axial Load Capacity, Resistance Factor, 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 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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