Radius of Gyration for Fixed End Columns using Load Reduction Factor Calculator

✖Length of Column is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.ⓘ Length of Column [l]			+10% -10%
✖Long Column Load Reduction Factor is the lower value of working stresses in steel and concrete is adopted by considering the factor of buckling.ⓘ Long Column Load Reduction Factor [R]			+10% -10%

✖Radius of Gyration of Gross Concrete Area is used to describe the distribution of cross-sectional area in a column around its centroidal axis.ⓘ Radius of Gyration for Fixed End Columns using Load Reduction Factor [r]

⎘ Copy

👎

Formula

✖

Radius of Gyration for Fixed End Columns using Load Reduction Factor

Formula

`"r" = 1.32-(0.006*"l"/"R")`

Example

`"1.290958m"=1.32-(0.006*"5000mm"/"1.033")`

Calculator

LaTeX

Reset

👍

Download Short Columns Formulas PDF

Radius of Gyration for Fixed End Columns using Load Reduction Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Gyration of Gross Concrete Area = 1.32-(0.006*Length of Column/Long Column Load Reduction Factor)
r = 1.32-(0.006*l/R)
This formula uses 3 Variables

Variables Used

Radius of Gyration of Gross Concrete Area - (Measured in Meter) - Radius of Gyration of Gross Concrete Area is used to describe the distribution of cross-sectional area in a column around its centroidal axis.
Length of Column - (Measured in Meter) - Length of Column is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.
Long Column Load Reduction Factor - Long Column Load Reduction Factor is the lower value of working stresses in steel and concrete is adopted by considering the factor of buckling.

STEP 1: Convert Input(s) to Base Unit

Length of Column: 5000 Millimeter --> 5 Meter (Check conversion here)
Long Column Load Reduction Factor: 1.033 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = 1.32-(0.006*l/R) --> 1.32-(0.006*5/1.033)

Evaluating ... ...

r = 1.29095837366893

STEP 3: Convert Result to Output's Unit

1.29095837366893 Meter --> No Conversion Required

FINAL ANSWER

1.29095837366893 ≈ 1.290958 Meter <-- Radius of Gyration of Gross Concrete Area

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Structural Engineering » Concrete Structures » Design of Compression Members » Short Columns » Slender Columns » Radius of Gyration for Fixed End Columns using Load Reduction Factor

Credits

Created by Rudrani Tidke

Cummins College of Engineering for Women (CCEW), Pune

Rudrani Tidke has created this Calculator and 100+ more calculators!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has verified this Calculator and 1200+ more calculators!

< 5 Slender Columns Calculators

Unsupported Column Length for Single Curvature Bent Member given Load Reduction Factor

Go Length of Column = (1.07-Long Column Load Reduction Factor)*Radius of Gyration of Gross Concrete Area/0.008

Radius of Gyration for Single Curvature Bent Member using Load Reduction Factor

Go Radius of Gyration of Gross Concrete Area = 1.07-(0.008*Length of Column/Long Column Load Reduction Factor)

Radius of Gyration for Fixed End Columns using Load Reduction Factor

Go Radius of Gyration of Gross Concrete Area = 1.32-(0.006*Length of Column/Long Column Load Reduction Factor)

Load Reduction Factor for Member Bent in Single Curvature

Go Long Column Load Reduction Factor = 1.07-(0.008*Length of Column/Radius of Gyration of Gross Concrete Area)

Load Reduction Factor for Column with Fixed Ends

Go Long Column Load Reduction Factor = 1.32-(0.006*Length of Column/Radius of Gyration of Gross Concrete Area)

Radius of Gyration for Fixed End Columns using Load Reduction Factor Formula

Radius of Gyration of Gross Concrete Area = 1.32-(0.006*Length of Column/Long Column Load Reduction Factor)
r = 1.32-(0.006*l/R)

What is Radius of Gyration in Simple Words?

Radius of gyration or gyradius of a body about an axis of rotation 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. One can represent a trajectory of a moving point as a body.

How to Calculate Radius of Gyration for Fixed End Columns using Load Reduction Factor?

Radius of Gyration for Fixed End Columns using Load Reduction Factor calculator uses Radius of Gyration of Gross Concrete Area = 1.32-(0.006*Length of Column/Long Column Load Reduction Factor) to calculate the Radius of Gyration of Gross Concrete Area, The Radius of Gyration for Fixed End Columns using Load Reduction Factor formula is defined as the distribution of cross-sectional area in a column around its centroidal axis. Radius of Gyration of Gross Concrete Area is denoted by r symbol.

How to calculate Radius of Gyration for Fixed End Columns using Load Reduction Factor using this online calculator? To use this online calculator for Radius of Gyration for Fixed End Columns using Load Reduction Factor, enter Length of Column (l) & Long Column Load Reduction Factor (R) and hit the calculate button. Here is how the Radius of Gyration for Fixed End Columns using Load Reduction Factor calculation can be explained with given input values -> 1.26 = 1.32-(0.006*5/1.033).

FAQ

What is Radius of Gyration for Fixed End Columns using Load Reduction Factor?

The Radius of Gyration for Fixed End Columns using Load Reduction Factor formula is defined as the distribution of cross-sectional area in a column around its centroidal axis and is represented as r = 1.32-(0.006*l/R) or Radius of Gyration of Gross Concrete Area = 1.32-(0.006*Length of Column/Long Column Load Reduction Factor). Length of Column is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions & Long Column Load Reduction Factor is the lower value of working stresses in steel and concrete is adopted by considering the factor of buckling.

How to calculate Radius of Gyration for Fixed End Columns using Load Reduction Factor?

The Radius of Gyration for Fixed End Columns using Load Reduction Factor formula is defined as the distribution of cross-sectional area in a column around its centroidal axis is calculated using Radius of Gyration of Gross Concrete Area = 1.32-(0.006*Length of Column/Long Column Load Reduction Factor). To calculate Radius of Gyration for Fixed End Columns using Load Reduction Factor, you need Length of Column (l) & Long Column Load Reduction Factor (R). With our tool, you need to enter the respective value for Length of Column & Long Column Load Reduction Factor 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 Radius of Gyration of Gross Concrete Area?

In this formula, Radius of Gyration of Gross Concrete Area uses Length of Column & Long Column Load Reduction Factor. We can use 1 other way(s) to calculate the same, which is/are as follows -

Radius of Gyration of Gross Concrete Area = 1.07-(0.008*Length of Column/Long Column Load Reduction Factor)

Home

FREE PDFs

🔍 Search