Effective Column Length given Allowable Axial Compression Stress, SL Ratio Greater than 160 Calculator

✖Allowable compression stress is the maximum stress (tensile, compressive or bending) that is allowed to be applied on a structural material.ⓘ Allowable compression stress [F_a]			+10% -10%
✖Value obtained from secant formula is the stress value on the column of mild steel.ⓘ Value obtained from Secant Formula [σ_c']			+10% -10%
✖Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations.ⓘ Least Radius of Gyration Column [r_least]			+10% -10%

✖Effective Column Length can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration.ⓘ Effective Column Length given Allowable Axial Compression Stress, SL Ratio Greater than 160 [L_eff]

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Effective Column Length given Allowable Axial Compression Stress, SL Ratio Greater than 160 Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Column Length = 1.2-(Allowable compression stress/Value obtained from Secant Formula)*(800*Least Radius of Gyration Column)
L_eff = 1.2-(F_a/σ_c')*(800*r_least)
This formula uses 4 Variables

Variables Used

Effective Column Length - (Measured in Meter) - Effective Column Length can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration.
Allowable compression stress - (Measured in Pascal) - Allowable compression stress is the maximum stress (tensile, compressive or bending) that is allowed to be applied on a structural material.
Value obtained from Secant Formula - (Measured in Pascal) - Value obtained from secant formula is the stress value on the column of mild steel.
Least Radius of Gyration Column - (Measured in Meter) - Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations.

STEP 1: Convert Input(s) to Base Unit

Allowable compression stress: 10 Megapascal --> 10000000 Pascal (Check conversion here)
Value obtained from Secant Formula: 400.25 Megapascal --> 400250000 Pascal (Check conversion here)
Least Radius of Gyration Column: 47.02 Millimeter --> 0.04702 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_eff = 1.2-(F_a/σ_c')*(800*r_least) --> 1.2-(10000000/400250000)*(800*0.04702)

Evaluating ... ...

L_eff = 0.260187382885696

STEP 3: Convert Result to Output's Unit

0.260187382885696 Meter -->260.187382885696 Millimeter (Check conversion here)

FINAL ANSWER

260.187382885696 ≈ 260.1874 Millimeter <-- Effective Column Length

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Column And Struts » Mechanical » Formula By I.S. Code For Mild Steel » Effective Column Length given Allowable Axial Compression Stress, SL Ratio Greater than 160

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< Formula By I.S. Code For Mild Steel Calculators

Effective Column Length given Allowable Axial Compression Stress

LaTeX Go Effective Column Length = (((Specified minimum yield stress for column/(Factor of Safety*Allowable compression stress))-1)/(0.20*((sqrt(Factor of Safety*Column Compressive load/(4*Modulus of Elasticity Column))))))*Least Radius of Gyration Column

Allowable Axial Compression Stress for Slenderness Ratio 0 to 160

LaTeX Go Allowable compression stress = (Specified minimum yield stress for column/Factor of Safety)/(1+(0.20*((Effective Interest Rate/Least Radius of Gyration Column)*(sqrt(Factor of Safety*Column Compressive load/(4*Modulus of Elasticity Column))))))

Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160

LaTeX Go Specified minimum yield stress for column = Allowable compression stress*(1+(0.20*((Effective Interest Rate/Least Radius of Gyration Column)*(sqrt(Factor of Safety*Column Compressive load/(4*Modulus of Elasticity Column))))))*Factor of Safety

Allowable Axial Compression Stress for Slenderness Ratio greater than 160

LaTeX Go Allowable compression stress = Value obtained from Secant Formula*(1.2-(Effective Column Length/(800*Least Radius of Gyration Column)))

Effective Column Length given Allowable Axial Compression Stress, SL Ratio Greater than 160 Formula

LaTeX Go

Effective Column Length = 1.2-(Allowable compression stress/Value obtained from Secant Formula)*(800*Least Radius of Gyration Column)
L_eff = 1.2-(F_a/σ_c')*(800*r_least)

Which is example of eccentric loading?

Examples of eccentric loading activities include performing a calf raise off the ledge of a stair, an exercise that has been shown to decrease the risk of Achilles tendon injuries. Another example is the nordic curl exercise, which has been shown to help reduce the risk of hamstring strains.

How to Calculate Effective Column Length given Allowable Axial Compression Stress, SL Ratio Greater than 160?

Effective Column Length given Allowable Axial Compression Stress, SL Ratio Greater than 160 calculator uses Effective Column Length = 1.2-(Allowable compression stress/Value obtained from Secant Formula)*(800*Least Radius of Gyration Column) to calculate the Effective Column Length, Effective Column Length given Allowable Axial Compression Stress, SL Ratio Greater than 160 formula is defined as a measure of the effective length of a column in a structural system, considering the allowable axial compression stress and the slenderness ratio, which is essential in designing stable and safe structures, particularly in mild steel construction. Effective Column Length is denoted by L_eff symbol.

How to calculate Effective Column Length given Allowable Axial Compression Stress, SL Ratio Greater than 160 using this online calculator? To use this online calculator for Effective Column Length given Allowable Axial Compression Stress, SL Ratio Greater than 160, enter Allowable compression stress (F_a), Value obtained from Secant Formula (σ_c') & Least Radius of Gyration Column (r_least) and hit the calculate button. Here is how the Effective Column Length given Allowable Axial Compression Stress, SL Ratio Greater than 160 calculation can be explained with given input values -> 260187.4 = 1.2-(10000000/400250000)*(800*0.04702).

FAQ

What is Effective Column Length given Allowable Axial Compression Stress, SL Ratio Greater than 160?

Effective Column Length given Allowable Axial Compression Stress, SL Ratio Greater than 160 formula is defined as a measure of the effective length of a column in a structural system, considering the allowable axial compression stress and the slenderness ratio, which is essential in designing stable and safe structures, particularly in mild steel construction and is represented as L_eff = 1.2-(F_a/σ_c')*(800*r_least) or Effective Column Length = 1.2-(Allowable compression stress/Value obtained from Secant Formula)*(800*Least Radius of Gyration Column). Allowable compression stress is the maximum stress (tensile, compressive or bending) that is allowed to be applied on a structural material, Value obtained from secant formula is the stress value on the column of mild steel & Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations.

How to calculate Effective Column Length given Allowable Axial Compression Stress, SL Ratio Greater than 160?

Effective Column Length given Allowable Axial Compression Stress, SL Ratio Greater than 160 formula is defined as a measure of the effective length of a column in a structural system, considering the allowable axial compression stress and the slenderness ratio, which is essential in designing stable and safe structures, particularly in mild steel construction is calculated using Effective Column Length = 1.2-(Allowable compression stress/Value obtained from Secant Formula)*(800*Least Radius of Gyration Column). To calculate Effective Column Length given Allowable Axial Compression Stress, SL Ratio Greater than 160, you need Allowable compression stress (F_a), Value obtained from Secant Formula (σ_c') & Least Radius of Gyration Column (r_least). With our tool, you need to enter the respective value for Allowable compression stress, Value obtained from Secant Formula & Least Radius of Gyration Column 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 Effective Column Length?

In this formula, Effective Column Length uses Allowable compression stress, Value obtained from Secant Formula & Least Radius of Gyration Column. We can use 1 other way(s) to calculate the same, which is/are as follows -

Effective Column Length = (((Specified minimum yield stress for column/(Factor of Safety*Allowable compression stress))-1)/(0.20*((sqrt(Factor of Safety*Column Compressive load/(4*Modulus of Elasticity Column))))))*Least Radius of Gyration Column

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