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)
Leff = 1.2-(Fa/σc')*(800*rleast)
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
Leff = 1.2-(Fac')*(800*rleast) --> 1.2-(10000000/400250000)*(800*0.04702)
Evaluating ... ...
Leff = 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)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verified by Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has verified this Calculator and 1900+ more calculators!

10+ Formula By I.S. Code For Mild Steel Calculators

Value Obtained from Secant Formula given Allowable Axial Compression Stress
Go Value obtained from Secant Formula = (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))))))
Least Radius of Gyration given Allowable Axial Compression Stress
Go Least Radius of Gyration Column = (0.20*((Effective Interest Rate/((Specified minimum yield stress for column/(Factor of Safety*Allowable compression stress))-1))*(sqrt(Factor of Safety*Column Compressive load/(4*Modulus of Elasticity Column)))))
Effective Column Length given Allowable Axial Compression Stress
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
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
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
Slenderness Ratio given Allowable Axial Compression Stress
Go Slenderness Ratio = ((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)))))
Value Obtained from Secant given Axial Compression Stress Slenderness Ratio Greater than 160
Go Value obtained from Secant Formula = Allowable compression stress/(1.2-(Effective Column Length/(800*Least Radius of Gyration Column)))
Least Radius of Gyration given Allowable Axial Compression Stress Slenderness Ratio More 160
Go Least Radius of Gyration Column = Effective Column Length/(800*(1.2-(Allowable compression stress/Value obtained from Secant Formula)))
Allowable Axial Compression Stress for Slenderness Ratio greater than 160
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
Go Effective Column Length = 1.2-(Allowable compression stress/Value obtained from Secant Formula)*(800*Least Radius of Gyration Column)

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

Effective Column Length = 1.2-(Allowable compression stress/Value obtained from Secant Formula)*(800*Least Radius of Gyration Column)
Leff = 1.2-(Fa/σc')*(800*rleast)

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 the distance between successive inflection points or points of zero moments. Effective Column Length is denoted by Leff 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 (Fa), Value obtained from Secant Formula c') & Least Radius of Gyration Column (rleast) 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 the distance between successive inflection points or points of zero moments and is represented as Leff = 1.2-(Fac')*(800*rleast) 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 the distance between successive inflection points or points of zero moments 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 (Fa), Value obtained from Secant Formula c') & Least Radius of Gyration Column (rleast). 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
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!