Axial Load Capacity of Short Rectangular Members Calculator

✖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 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%
✖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%

✖Axial Load Capacity is defined as the maximum load along the direction of the drive train.ⓘ Axial Load Capacity of Short Rectangular Members [P_u]

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Formula

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Axial Load Capacity of Short Rectangular Members

Formula

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

Example

`"680.0021N"="0.850"*((.85*"55.0MPa"*"5mm"*"10.5mm")+("20.0mm²"*"250.0MPa")-("15mm²"*"280MPa"))`

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Axial Load Capacity of Short Rectangular Members Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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 Megapascal) - 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 Millimeter) - The Area of Compressive Reinforcement is the amount of steel required in the compression zone.
Yield Strength of Reinforcing Steel - (Measured in Megapascal) - 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.
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 Megapascal) - Steel Tensile Stress is defined as the stress in the steel under tension.

STEP 1: Convert Input(s) to Base Unit

Resistance Factor: 0.85 --> No Conversion Required
28-Day Compressive Strength of Concrete: 55 Megapascal --> 55 Megapascal No Conversion Required
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 --> 20 Square Millimeter No Conversion Required
Yield Strength of Reinforcing Steel: 250 Megapascal --> 250 Megapascal No Conversion Required
Area of Tension Reinforcement: 15 Square Millimeter --> 15 Square Millimeter No Conversion Required
Steel Tensile Stress: 280 Megapascal --> 280 Megapascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_u = Φ*((.85*f'_c*b*a)+(A'_s*f_y)-(A_s*f_s)) --> 0.85*((.85*55*0.005*0.0105)+(20*250)-(15*280))

Evaluating ... ...

P_u = 680.00208621875

STEP 3: Convert Result to Output's Unit

680.00208621875 Newton --> No Conversion Required

FINAL ANSWER

680.00208621875 ≈ 680.0021 Newton <-- Axial Load Capacity

(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

Axial Load Capacity of Short Rectangular Members Formula

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 Axial Load Capacity of Short Rectangular Members?

Axial Load Capacity of Short Rectangular Members calculator uses 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)) to calculate the Axial Load Capacity, The Axial Load Capacity of Short Rectangular Members formula is defined as the maximum load along the direction of the drive train. Axial Load Capacity is denoted by P_u symbol.

How to calculate Axial Load Capacity of Short Rectangular Members using this online calculator? To use this online calculator for Axial Load Capacity of Short Rectangular Members, enter Resistance Factor (Φ), 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), Area of Tension Reinforcement (A_s) & Steel Tensile Stress (f_s) and hit the calculate button. Here is how the Axial Load Capacity of Short Rectangular Members calculation can be explained with given input values -> 680.0021 = 0.85*((.85*55000000*0.005*0.0105)+(2E-05*250000000)-(1.5E-05*280000000)).

FAQ

What is Axial Load Capacity of Short Rectangular Members?

The Axial Load Capacity of Short Rectangular Members formula is defined as the maximum load along the direction of the drive train and is represented as P_u = Φ*((.85*f'_c*b*a)+(A'_s*f_y)-(A_s*f_s)) or 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)). 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 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, 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.

How to calculate Axial Load Capacity of Short Rectangular Members?

The Axial Load Capacity of Short Rectangular Members formula is defined as the maximum load along the direction of the drive train is calculated using 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)). To calculate Axial Load Capacity of Short Rectangular Members, you need Resistance Factor (Φ), 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), Area of Tension Reinforcement (A_s) & Steel Tensile Stress (f_s). With our tool, you need to enter the respective value for Resistance Factor, 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 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Axial Load Capacity?

In this formula, Axial Load Capacity uses Resistance Factor, 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. We can use 1 other way(s) to calculate the same, which is/are as follows -

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))))

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