Ultimate Strength for No Compression Reinforcement 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%
✖Distance from Compression to Tensile Reinforcement is defined as the distance from extreme compression surface to the centroid of tensile reinforcement, in (mm).ⓘ Distance from Compression to Tensile Reinforcement [d]			+10% -10%
✖Capacity Reduction Factor is derived for reinforced concrete structures based on a reliability-based calibration of the Australian Concrete Structures Standard AS3600.ⓘ Capacity Reduction Factor [Phi]			+10% -10%
✖Area Ratio of Tensile Reinforcement is the ratio of Area of Compressive Reinforcement to the width of compression face and distance between compression surface to centroid.ⓘ Area Ratio of Tensile Reinforcement [Rho]			+10% -10%
✖Force Ratio of Strengths of Reinforcements is the ratio of yield strength of reinforcing steel to 0.85 times 28 day compressive strength of concrete.ⓘ Force Ratio of Strengths of Reinforcements [m]			+10% -10%
✖The Eccentricity by Method of Frame Analysis is the eccentricity, of axial load at end of member w.r.t., the centroid of tensile reinforcement, calculated by conventional methods of frame analysis.ⓘ Eccentricity by Method of Frame Analysis [e']			+10% -10%

✖Axial Load Capacity is defined as the maximum load along the direction of the drive train.ⓘ Ultimate Strength for No Compression Reinforcement [P_u]

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Formula

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Ultimate Strength for No Compression Reinforcement

Formula

`"P"_{"u"} = 0.85*"f'"_{"c"}*"b"*"d"*"Phi"*((-"Rho"*"m")+1-("e'"/"d")+sqrt(((1-("e'"/"d"))^2)+2*("Rho"*"e'"*"m"/"d")))`

Example

`"689.8837N"=0.85*"55.0MPa"*"5mm"*"20mm"*"0.85"*((-"0.5"*"0.4")+1-("35mm"/"20mm")+sqrt(((1-("35mm"/"20mm"))^2)+2*("0.5"*"35mm"*"0.4"/"20mm")))`

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Ultimate Strength for No Compression Reinforcement Solution

STEP 0: Pre-Calculation Summary

Formula Used

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*Force Ratio of Strengths of Reinforcements)+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*Eccentricity by Method of Frame Analysis*Force Ratio of Strengths of Reinforcements/Distance from Compression to Tensile Reinforcement)))
P_u = 0.85*f'_c*b*d*Phi*((-Rho*m)+1-(e'/d)+sqrt(((1-(e'/d))^2)+2*(Rho*e'*m/d)))
This formula uses 1 Functions, 8 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Axial Load Capacity - (Measured in Newton) - Axial Load Capacity is defined as the maximum load along the direction of the drive train.
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.
Distance from Compression to Tensile Reinforcement - (Measured in Meter) - Distance from Compression to Tensile Reinforcement is defined as the distance from extreme compression surface to the centroid of tensile reinforcement, in (mm).
Capacity Reduction Factor - Capacity Reduction Factor is derived for reinforced concrete structures based on a reliability-based calibration of the Australian Concrete Structures Standard AS3600.
Area Ratio of Tensile Reinforcement - Area Ratio of Tensile Reinforcement is the ratio of Area of Compressive Reinforcement to the width of compression face and distance between compression surface to centroid.
Force Ratio of Strengths of Reinforcements - Force Ratio of Strengths of Reinforcements is the ratio of yield strength of reinforcing steel to 0.85 times 28 day compressive strength of concrete.
Eccentricity by Method of Frame Analysis - (Measured in Meter) - The Eccentricity by Method of Frame Analysis is the eccentricity, of axial load at end of member w.r.t., the centroid of tensile reinforcement, calculated by conventional methods of frame analysis.

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)
Distance from Compression to Tensile Reinforcement: 20 Millimeter --> 0.02 Meter (Check conversion here)
Capacity Reduction Factor: 0.85 --> No Conversion Required
Area Ratio of Tensile Reinforcement: 0.5 --> No Conversion Required
Force Ratio of Strengths of Reinforcements: 0.4 --> No Conversion Required
Eccentricity by Method of Frame Analysis: 35 Millimeter --> 0.035 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_u = 0.85*f'_c*b*d*Phi*((-Rho*m)+1-(e'/d)+sqrt(((1-(e'/d))^2)+2*(Rho*e'*m/d))) --> 0.85*55000000*0.005*0.02*0.85*((-0.5*0.4)+1-(0.035/0.02)+sqrt(((1-(0.035/0.02))^2)+2*(0.5*0.035*0.4/0.02)))

Evaluating ... ...

P_u = 689.883741715151

STEP 3: Convert Result to Output's Unit

689.883741715151 Newton --> No Conversion Required

FINAL ANSWER

689.883741715151 ≈ 689.8837 Newton <-- Axial Load Capacity

(Calculation completed in 00.020 seconds)

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< 2 Column Strength when Compression Governs Calculators

Ultimate Strength for No Compression 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*Force Ratio of Strengths of Reinforcements)+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*Eccentricity by Method of Frame Analysis*Force Ratio of Strengths of Reinforcements/Distance from Compression to Tensile Reinforcement)))

Ultimate Strength for Symmetrical Reinforcement in Single Layers

Go Axial Load Capacity = Capacity Reduction Factor*((Area of Compressive Reinforcement*Yield Strength of Reinforcing Steel/((Eccentricity of Column/Distance from Compression to Tensile Reinforcement)-Distance from Compression to Centroid Reinforcment+0.5))+(Width of Compression Face*Effective Length of Column*28-Day Compressive Strength of Concrete/((3*Effective Length of Column*Eccentricity of Column/(Distance from Compression to Tensile Reinforcement^2))+1.18)))

Ultimate Strength for No Compression Reinforcement Formula

What is the Ultimate Strength of a Material?

The ultimate strength is the maximum stress that a material can withstand before it breaks or weakens. For example, the ultimate tensile strength (UTS) of AISI 1018 Steel is 440 MPa.

How to Calculate Ultimate Strength for No Compression Reinforcement?

Ultimate Strength for No Compression Reinforcement calculator uses 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*Force Ratio of Strengths of Reinforcements)+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*Eccentricity by Method of Frame Analysis*Force Ratio of Strengths of Reinforcements/Distance from Compression to Tensile Reinforcement))) to calculate the Axial Load Capacity, The Ultimate Strength for No Compression Reinforcement formula is defined as Ultimate strength is equivalent to the maximum load that can be carried by one square inch of cross-sectional area when the load is applied as simple tension. Axial Load Capacity is denoted by P_u symbol.

How to calculate Ultimate Strength for No Compression Reinforcement using this online calculator? To use this online calculator for Ultimate Strength for No Compression Reinforcement, enter 28-Day Compressive Strength of Concrete (f'_c), Width of Compression Face (b), Distance from Compression to Tensile Reinforcement (d), Capacity Reduction Factor (Phi), Area Ratio of Tensile Reinforcement (Rho), Force Ratio of Strengths of Reinforcements (m) & Eccentricity by Method of Frame Analysis (e') and hit the calculate button. Here is how the Ultimate Strength for No Compression Reinforcement calculation can be explained with given input values -> 689.8837 = 0.85*55000000*0.005*0.02*0.85*((-0.5*0.4)+1-(0.035/0.02)+sqrt(((1-(0.035/0.02))^2)+2*(0.5*0.035*0.4/0.02))).

FAQ

What is Ultimate Strength for No Compression Reinforcement?

The Ultimate Strength for No Compression Reinforcement formula is defined as Ultimate strength is equivalent to the maximum load that can be carried by one square inch of cross-sectional area when the load is applied as simple tension and is represented as P_u = 0.85*f'_c*b*d*Phi*((-Rho*m)+1-(e'/d)+sqrt(((1-(e'/d))^2)+2*(Rho*e'*m/d))) or 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*Force Ratio of Strengths of Reinforcements)+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*Eccentricity by Method of Frame Analysis*Force Ratio of Strengths of Reinforcements/Distance from Compression to Tensile 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, Distance from Compression to Tensile Reinforcement is defined as the distance from extreme compression surface to the centroid of tensile reinforcement, in (mm), Capacity Reduction Factor is derived for reinforced concrete structures based on a reliability-based calibration of the Australian Concrete Structures Standard AS3600, Area Ratio of Tensile Reinforcement is the ratio of Area of Compressive Reinforcement to the width of compression face and distance between compression surface to centroid, Force Ratio of Strengths of Reinforcements is the ratio of yield strength of reinforcing steel to 0.85 times 28 day compressive strength of concrete & The Eccentricity by Method of Frame Analysis is the eccentricity, of axial load at end of member w.r.t., the centroid of tensile reinforcement, calculated by conventional methods of frame analysis.

How to calculate Ultimate Strength for No Compression Reinforcement?

The Ultimate Strength for No Compression Reinforcement formula is defined as Ultimate strength is equivalent to the maximum load that can be carried by one square inch of cross-sectional area when the load is applied as simple tension is calculated using 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*Force Ratio of Strengths of Reinforcements)+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*Eccentricity by Method of Frame Analysis*Force Ratio of Strengths of Reinforcements/Distance from Compression to Tensile Reinforcement))). To calculate Ultimate Strength for No Compression Reinforcement, you need 28-Day Compressive Strength of Concrete (f'_c), Width of Compression Face (b), Distance from Compression to Tensile Reinforcement (d), Capacity Reduction Factor (Phi), Area Ratio of Tensile Reinforcement (Rho), Force Ratio of Strengths of Reinforcements (m) & Eccentricity by Method of Frame Analysis (e'). With our tool, you need to enter the respective value for 28-Day Compressive Strength of Concrete, Width of Compression Face, Distance from Compression to Tensile Reinforcement, Capacity Reduction Factor, Area Ratio of Tensile Reinforcement, Force Ratio of Strengths of Reinforcements & Eccentricity by Method of Frame Analysis 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 28-Day Compressive Strength of Concrete, Width of Compression Face, Distance from Compression to Tensile Reinforcement, Capacity Reduction Factor, Area Ratio of Tensile Reinforcement, Force Ratio of Strengths of Reinforcements & Eccentricity by Method of Frame Analysis. We can use 1 other way(s) to calculate the same, which is/are as follows -

Axial Load Capacity = Capacity Reduction Factor*((Area of Compressive Reinforcement*Yield Strength of Reinforcing Steel/((Eccentricity of Column/Distance from Compression to Tensile Reinforcement)-Distance from Compression to Centroid Reinforcment+0.5))+(Width of Compression Face*Effective Length of Column*28-Day Compressive Strength of Concrete/((3*Effective Length of Column*Eccentricity of Column/(Distance from Compression to Tensile Reinforcement^2))+1.18)))

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