Allowable Compressive Stress when Slenderness Ratio is Less than Cc Calculator

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✖Yield stress of 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 stress of steel [F_y]			+10% -10%
✖Safety factor otherwise called as factor of safety expresses how much stronger a system is than it needs to be for an intended load. ⓘ Safety factor [Fs]			+10% -10%
✖Effective length factor is defined as the factor used for the members in the frame. It depends on the ratio of compression member stiffness to the end restraint stiffness. ⓘ effective length factor [k]			+10% -10%
✖Effective length is the total length of the section. It is the length of a section which is effectively restrained. ⓘ Effective length [l]			+10% -10%
✖Radius of gyration is generally defined as the distance from the axis of rotation to a point where total mass of any body is supposed to be concentrated.ⓘ Radius of gyration [r]			+10% -10%
✖Slenderness ratio for separation is the usual term used to demarcates between inelastic and elastic member buckling. ⓘ Slenderness ratio for separation [C_c]			+10% -10%

✖Allowable compressive stress or allowable strength is the maximum stress (tensile, compressive or bending) that is allowed to be applied on a structural material. ⓘ Allowable Compressive Stress when Slenderness Ratio is Less than Cc [F_a]

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Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 200+ more calculators!

Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 500+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

28-Day Concrete Compressive Strength when Axial Capacity of Wall is Given

28 Day Compressive Strength of Concrete=(axial capacity)/(0.55*strength reduction factor for bearing walls*Gross area of column*(1-((effective length factor*Distance between Supports)/(32*Overall thickness of wall))^2)) GO

Wall Section Gross Area when Axial Capacity of Wall is Given

Gross area of column=(axial capacity)/(0.55*strength reduction factor for bearing walls*28 Day Compressive Strength of Concrete*(1-((effective length factor*Distance between Supports)/(32*Overall thickness of wall))^2)) GO

Axial Capacity of Wall

axial capacity=0.55*strength reduction factor for bearing walls*28 Day Compressive Strength of Concrete*Gross area of column*(1-((effective length factor*Distance between Supports)/(32*Overall thickness of wall))^2) GO

Allowable Stress when Slenderness Ratio is Less than Cc

Allowable Stresses in Concentric loaded column=(Yield stress/2.12)*(1-((effective length factor*Length/Least Radius of Gyration)^2)/(2*Slenderness Ratio Cc^2)) GO

Allowable Stress when Slenderness Ratio is Equal to or Greater than Cc

Allowable Stresses in Concentric loaded column=(pi*pi*Modulus Of Elasticity)/(2.12*((effective length factor*Length/Least Radius of Gyration)^2)) GO

Safety Factor for Allowable Compressive Stress

Safety factor=5/3+0.375*(Slenderness Ratio/Slenderness ratio for separation)-(0.125*(Slenderness Ratio/Slenderness ratio for separation)^3) GO

Steel Yield Strength when Q Factor is Given

Yield stress=(2*Q Factors*pi*pi*(Least Radius of Gyration^2)*Modulus Of Elasticity)/((effective length factor*Length)^2) GO

Q Factor

Q Factors=((effective length factor*Length/Least Radius of Gyration)^2)*(Yield Strength/(2*pi*pi*Modulus Of Elasticity)) GO

Slenderness Ratio Used for Separation

Slenderness ratio for separation=((2*(pi^2)*modulus of elasticity)/(Yield stress of steel))^(1/2) GO

Shear Capacity if Web Slenderness is greater than 1.25α

Shear capacity =(23760*effective length factor*Web area)/(Height of web/Web thickness)^2 GO

Effective Length Factor

effective length factor=Effective length/Actual unbraced length GO

< 3 Other formulas that calculate the same Output

Stress when Concentrated Load is Applied Close to Beam End

Allowable compressive stress=Column load/(Web thickness*(Minimum bearing length+2.5*Distance from flange to web fillet)) GO

Stress for Concentrated Load Applied at a Distance Larger than Depth of Beam

Allowable compressive stress=Column load/(Web thickness*(Minimum bearing length+5*Distance from flange to web fillet)) GO

Allowable Compressive Stress when Slenderness Ration is Greater than Cc

Allowable compressive stress=150000/(Slenderness Ratio)^2 GO

Allowable Compressive Stress when Slenderness Ratio is Less than Cc Formula

Allowable compressive stress=(Yield stress of steel/Safety factor)*(1-(((effective length factor*Effective length)/Radius of gyration )^2)/(2*Slenderness ratio for separation^2))
Fa=(Fy/Fs)*(1-(((k*l)/r)^2)/(2*Cc^2))

More formulas

Slenderness Ratio Used for Separation GO

Safety Factor for Allowable Compressive Stress GO

Allowable Compressive Stress when Slenderness Ration is Greater than Cc GO

Effective Length Factor GO

What is radius of gyration?

Mathematically the radius of gyration is the root mean square distance of the object's parts from either its center of mass or a given axis, depending on the relevant application. It is actually the perpendicular distance from point mass to the axis of rotation.

How to Calculate Allowable Compressive Stress when Slenderness Ratio is Less than Cc?

Allowable Compressive Stress when Slenderness Ratio is Less than Cc calculator uses Allowable compressive stress=(Yield stress of steel/Safety factor)*(1-(((effective length factor*Effective length)/Radius of gyration )^2)/(2*Slenderness ratio for separation^2)) to calculate the Allowable compressive stress, Allowable Compressive Stress when Slenderness Ratio is Less than Cc is defined as the maximum limit of compressive stress that can be taken by the section when the condition specified is satisfied. . Allowable compressive stress and is denoted by F_a symbol.

How to calculate Allowable Compressive Stress when Slenderness Ratio is Less than Cc using this online calculator? To use this online calculator for Allowable Compressive Stress when Slenderness Ratio is Less than Cc, enter Yield stress of steel (F_y), Safety factor (Fs), effective length factor (k), Effective length (l), Radius of gyration (r) and Slenderness ratio for separation (C_c) and hit the calculate button. Here is how the Allowable Compressive Stress when Slenderness Ratio is Less than Cc calculation can be explained with given input values -> 14210 = (199947961500.025/2)*(1-(((1*0.508000000002032)/1.27000000000508)^2)/(2*2^2)).

FAQ

What is Allowable Compressive Stress when Slenderness Ratio is Less than Cc?

Allowable Compressive Stress when Slenderness Ratio is Less than Cc is defined as the maximum limit of compressive stress that can be taken by the section when the condition specified is satisfied. and is represented as F_a=(F_y/Fs)*(1-(((k*l)/r)^2)/(2*C_c^2)) or Allowable compressive stress=(Yield stress of steel/Safety factor)*(1-(((effective length factor*Effective length)/Radius of gyration )^2)/(2*Slenderness ratio for separation^2)). Yield stress of 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, Safety factor otherwise called as factor of safety expresses how much stronger a system is than it needs to be for an intended load. , Effective length factor is defined as the factor used for the members in the frame. It depends on the ratio of compression member stiffness to the end restraint stiffness. , Effective length is the total length of the section. It is the length of a section which is effectively restrained. , Radius of gyration is generally defined as the distance from the axis of rotation to a point where total mass of any body is supposed to be concentrated and Slenderness ratio for separation is the usual term used to demarcates between inelastic and elastic member buckling. .

How to calculate Allowable Compressive Stress when Slenderness Ratio is Less than Cc?

Allowable Compressive Stress when Slenderness Ratio is Less than Cc is defined as the maximum limit of compressive stress that can be taken by the section when the condition specified is satisfied. is calculated using Allowable compressive stress=(Yield stress of steel/Safety factor)*(1-(((effective length factor*Effective length)/Radius of gyration )^2)/(2*Slenderness ratio for separation^2)). To calculate Allowable Compressive Stress when Slenderness Ratio is Less than Cc, you need Yield stress of steel (F_y), Safety factor (Fs), effective length factor (k), Effective length (l), Radius of gyration (r) and Slenderness ratio for separation (C_c). With our tool, you need to enter the respective value for Yield stress of steel, Safety factor, effective length factor, Effective length, Radius of gyration and Slenderness ratio for separation 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 Allowable compressive stress?

In this formula, Allowable compressive stress uses Yield stress of steel, Safety factor, effective length factor, Effective length, Radius of gyration and Slenderness ratio for separation. We can use 3 other way(s) to calculate the same, which is/are as follows -

Allowable compressive stress=150000/(Slenderness Ratio)^2
Allowable compressive stress=Column load/(Web thickness*(Minimum bearing length+5*Distance from flange to web fillet))
Allowable compressive stress=Column load/(Web thickness*(Minimum bearing length+2.5*Distance from flange to web fillet))

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