Effective length of column by straight line formula for columns and struts Calculator

✖Column Compressive Stress is the force that is responsible for the deformation of the material such that the volume of the material reduces.ⓘ Column Compressive Stress [σ_c]			+10% -10%
✖Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.ⓘ Crippling Load [P]			+10% -10%
✖Column Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Column Cross Sectional Area [A_sectional]			+10% -10%
✖Straight line formula constant is defined as the constant that depends on the material of column.ⓘ Straight line formula constant [n]			+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 length of column by straight line formula for columns and struts [L_eff]

⎘ Copy

👎

Formula

✖

Effective length of column by straight line formula for columns and struts

Formula

`"L"_{"eff"} = ("σ"_{"c"}-("P"/"A"_{"sectional"}))/("n"*(1/"r"_{"least"}))`

Example

`"3.8E^7mm"=("3.2MPa"-("3.6kN"/"1.4m²"))/("4"*(1/"47.02mm"))`

Calculator

LaTeX

Reset

👍

Download Column And Struts Formula PDF PDF Image

Effective length of column by straight line formula for columns and struts Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Column Length = (Column Compressive Stress-(Crippling Load/Column Cross Sectional Area))/(Straight line formula constant*(1/Least Radius of Gyration Column))
L_eff = (σ_c-(P/A_sectional))/(n*(1/r_least))
This formula uses 6 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.
Column Compressive Stress - (Measured in Pascal) - Column Compressive Stress is the force that is responsible for the deformation of the material such that the volume of the material reduces.
Crippling Load - (Measured in Newton) - Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.
Column Cross Sectional Area - (Measured in Square Meter) - Column Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.
Straight line formula constant - Straight line formula constant is defined as the constant that depends on the material of column.
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

Column Compressive Stress: 3.2 Megapascal --> 3200000 Pascal (Check conversion here)
Crippling Load: 3.6 Kilonewton --> 3600 Newton (Check conversion here)
Column Cross Sectional Area: 1.4 Square Meter --> 1.4 Square Meter No Conversion Required
Straight line formula constant: 4 --> No Conversion Required
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 = (σ_c-(P/A_sectional))/(n*(1/r_least)) --> (3200000-(3600/1.4))/(4*(1/0.04702))

Evaluating ... ...

L_eff = 37585.7728571429

STEP 3: Convert Result to Output's Unit

37585.7728571429 Meter -->37585772.8571429 Millimeter (Check conversion here)

FINAL ANSWER

37585772.8571429 ≈ 3.8E+7 Millimeter <-- Effective Column Length

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Strength of Materials » Column And Struts » Straight Line Formula » Effective length of column by straight line formula for columns and struts

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!

< 11 Straight Line Formula Calculators

Effective length of column by straight line formula for columns and struts

Go Effective Column Length = (Column Compressive Stress-(Crippling Load/Column Cross Sectional Area))/(Straight line formula constant*(1/Least Radius of Gyration Column))

Constant depending on material of column by straight-line formula for columns and struts

Go Straight line formula constant = (Column Compressive Stress-(Crippling Load/Column Cross Sectional Area))/((Effective Column Length/Least Radius of Gyration Column))

Least radius of gyration by straight line formula for columns and struts

Go Least Radius of Gyration Column = (Straight line formula constant*(Effective Column Length))/(Column Compressive Stress-(Crippling Load/Column Cross Sectional Area))

Cross-sectional area of column by straight-line formula for columns and struts

Go Column Cross Sectional Area = Crippling Load/(Column Compressive Stress-(Straight line formula constant*(Effective Column Length/Least Radius of Gyration Column)))

Compressive yield stress by straight-line formula for columns and struts

Go Column Compressive Stress = (Crippling Load/Column Cross Sectional Area)+(Straight line formula constant*(Effective Column Length/Least Radius of Gyration Column))

Crippling load on column by straight-line formula

Go Crippling Load = (Column Compressive Stress-(Straight line formula constant*(Effective Column Length/Least Radius of Gyration Column)))*Column Cross Sectional Area

Constant depending on material of column by straight line formula given slenderness ratio

Go Straight line formula constant = (Column Compressive Stress-(Crippling Load/Column Cross Sectional Area))/(Slenderness Ratio)

Compressive yield stress for column by straight-line formula given slenderness ratio

Go Column Compressive Stress = (Crippling Load/Column Cross Sectional Area)+(Straight line formula constant*(Slenderness Ratio))

Cross sectional area of column by straight line formula given slenderness ratio

Go Column Cross Sectional Area = Crippling Load/(Column Compressive Stress-(Straight line formula constant*(Slenderness Ratio)))

Crippling load on column by straight line formula given slenderness ratio

Go Crippling Load = (Column Compressive Stress-(Straight line formula constant*(Slenderness Ratio)))*Column Cross Sectional Area

Slenderness ratio by straight line formula

Go Slenderness Ratio = (Column Compressive Stress-(Crippling Load/Column Cross Sectional Area))/(Straight line formula constant)

Effective length of column by straight line formula for columns and struts Formula

What is slenderness ratio in column?

The slenderness ratio of a reinforced concrete (RC) column is the ratio between the length of the column, its lateral dimensions, and end fixity. The slenderness ratio is calculated by dividing the column length by its radius of gyration. The slenderness ratio differentiates the short column from the long or slender column.

How to Calculate Effective length of column by straight line formula for columns and struts?

Effective length of column by straight line formula for columns and struts calculator uses Effective Column Length = (Column Compressive Stress-(Crippling Load/Column Cross Sectional Area))/(Straight line formula constant*(1/Least Radius of Gyration Column)) to calculate the Effective Column Length, The Effective length of column by straight line formula for columns and struts formula is defined as the distance between successive inflection points or points of zero moment. Effective Column Length is denoted by L_eff symbol.

How to calculate Effective length of column by straight line formula for columns and struts using this online calculator? To use this online calculator for Effective length of column by straight line formula for columns and struts, enter Column Compressive Stress (σ_c), Crippling Load (P), Column Cross Sectional Area (A_sectional), Straight line formula constant (n) & Least Radius of Gyration Column (r_least) and hit the calculate button. Here is how the Effective length of column by straight line formula for columns and struts calculation can be explained with given input values -> 3.8E+10 = (3200000-(3600/1.4))/(4*(1/0.04702)).

FAQ

What is Effective length of column by straight line formula for columns and struts?

The Effective length of column by straight line formula for columns and struts formula is defined as the distance between successive inflection points or points of zero moment and is represented as L_eff = (σ_c-(P/A_sectional))/(n*(1/r_least)) or Effective Column Length = (Column Compressive Stress-(Crippling Load/Column Cross Sectional Area))/(Straight line formula constant*(1/Least Radius of Gyration Column)). Column Compressive Stress is the force that is responsible for the deformation of the material such that the volume of the material reduces, Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself, Column Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point, Straight line formula constant is defined as the constant that depends on the material of column & Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations.

How to calculate Effective length of column by straight line formula for columns and struts?

The Effective length of column by straight line formula for columns and struts formula is defined as the distance between successive inflection points or points of zero moment is calculated using Effective Column Length = (Column Compressive Stress-(Crippling Load/Column Cross Sectional Area))/(Straight line formula constant*(1/Least Radius of Gyration Column)). To calculate Effective length of column by straight line formula for columns and struts, you need Column Compressive Stress (σ_c), Crippling Load (P), Column Cross Sectional Area (A_sectional), Straight line formula constant (n) & Least Radius of Gyration Column (r_least). With our tool, you need to enter the respective value for Column Compressive Stress, Crippling Load, Column Cross Sectional Area, Straight line formula constant & 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.

Home

FREE PDFs

🔍 Search