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

✖Straight line formula constant is defined as the constant that depends on the material of column.ⓘ Straight line formula constant [n]			+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 [L_eff]			+10% -10%
✖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%

✖Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations.ⓘ Least radius of gyration by straight line formula for columns and struts [r_least]

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

Formula

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

Example

`"0.003753mm"=("4"*("3000mm"))/("3.2MPa"-("3.6kN"/"1.4m²"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Least Radius of Gyration Column = (Straight line formula constant*(Effective Column Length))/(Column Compressive Stress-(Crippling Load/Column Cross Sectional Area))
r_least = (n*(L_eff))/(σ_c-(P/A_sectional))
This formula uses 6 Variables

Variables Used

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.
Straight line formula constant - Straight line formula constant is defined as the constant that depends on the material of column.
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.

STEP 1: Convert Input(s) to Base Unit

Straight line formula constant: 4 --> No Conversion Required
Effective Column Length: 3000 Millimeter --> 3 Meter (Check conversion here)
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_least = (n*(L_eff))/(σ_c-(P/A_sectional)) --> (4*(3))/(3200000-(3600/1.4))

Evaluating ... ...

r_least = 3.75301581628094E-06

STEP 3: Convert Result to Output's Unit

3.75301581628094E-06 Meter -->0.00375301581628094 Millimeter (Check conversion here)

FINAL ANSWER

0.00375301581628094 ≈ 0.003753 Millimeter <-- Least Radius of Gyration Column

(Calculation completed in 00.004 seconds)

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< 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)

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

Least radius of gyration by straight line formula for columns and struts calculator uses Least Radius of Gyration Column = (Straight line formula constant*(Effective Column Length))/(Column Compressive Stress-(Crippling Load/Column Cross Sectional Area)) to calculate the Least Radius of Gyration Column, The Least radius of gyration by straight line formula for columns and struts formula is defined as the radial distance to a point which would have a moment of inertia the same as the body's actual distribution of mass if the total mass of the body were concentrated there. Least Radius of Gyration Column is denoted by r_least symbol.

How to calculate Least radius of gyration by straight line formula for columns and struts using this online calculator? To use this online calculator for Least radius of gyration by straight line formula for columns and struts, enter Straight line formula constant (n), Effective Column Length (L_eff), Column Compressive Stress (σ_c), Crippling Load (P) & Column Cross Sectional Area (A_sectional) and hit the calculate button. Here is how the Least radius of gyration by straight line formula for columns and struts calculation can be explained with given input values -> 3.753016 = (4*(3))/(3200000-(3600/1.4)).

FAQ

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

The Least radius of gyration by straight line formula for columns and struts formula is defined as the radial distance to a point which would have a moment of inertia the same as the body's actual distribution of mass if the total mass of the body were concentrated there and is represented as r_least = (n*(L_eff))/(σ_c-(P/A_sectional)) or Least Radius of Gyration Column = (Straight line formula constant*(Effective Column Length))/(Column Compressive Stress-(Crippling Load/Column Cross Sectional Area)). Straight line formula constant is defined as the constant that depends on the material of column, 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 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.

How to calculate Least radius of gyration by straight line formula for columns and struts?

The Least radius of gyration by straight line formula for columns and struts formula is defined as the radial distance to a point which would have a moment of inertia the same as the body's actual distribution of mass if the total mass of the body were concentrated there is calculated using Least Radius of Gyration Column = (Straight line formula constant*(Effective Column Length))/(Column Compressive Stress-(Crippling Load/Column Cross Sectional Area)). To calculate Least radius of gyration by straight line formula for columns and struts, you need Straight line formula constant (n), Effective Column Length (L_eff), Column Compressive Stress (σ_c), Crippling Load (P) & Column Cross Sectional Area (A_sectional). With our tool, you need to enter the respective value for Straight line formula constant, Effective Column Length, Column Compressive Stress, Crippling Load & Column Cross Sectional Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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