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

✖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 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 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.ⓘ Steel Tensile Stress [f_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%

✖The Area of Compressive Reinforcement is the amount of steel required in the compression zone.ⓘ Compressive Reinforcement Area given Axial-Load Capacity of Short Rectangular Members [A'_s]

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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 = ((P_u/Φ)-(.85*f'_c*b*a)+(A_s*f_s))/f_y
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 = ((P_u/Φ)-(.85*f'_c*b*a)+(A_s*f_s))/f_y --> ((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 00.020 seconds)

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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

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

LaTeX Go

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 (P_u), 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 (A_s), Steel Tensile Stress (f_s) & Yield Strength of Reinforcing Steel (f_y) 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 = ((P_u/Φ)-(.85*f'_c*b*a)+(A_s*f_s))/f_y 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 (P_u), 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 (A_s), Steel Tensile Stress (f_s) & Yield Strength of Reinforcing Steel (f_y). 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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