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Load Reduction Factor for Column with Fixed Ends Calculator

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Short Columns Estimation of Effective Length of Columns

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Slender Columns Design of Short Column in Compression with Uniaxial Bending Design of Short Column under Axial Compression Design Under Axial Compression with Biaxial Bending

✖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%
✖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 of Gross Concrete Area [r]			+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.ⓘ Load Reduction Factor for Column with Fixed Ends [R]

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Load Reduction Factor for Column with Fixed Ends Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Length of Column: 5000 Millimeter --> 5 Meter (Check conversion here)
Radius of Gyration of Gross Concrete Area: 1.1 Meter --> 1.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = 1.32-(0.006*l/r) --> 1.32-(0.006*5/1.1)

Evaluating ... ...

R = 1.29272727272727

STEP 3: Convert Result to Output's Unit

1.29272727272727 --> No Conversion Required

FINAL ANSWER

1.29272727272727 ≈ 1.292727 <-- Long Column Load Reduction Factor

(Calculation completed in 00.004 seconds)

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< Slender Columns Calculators

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

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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 Formula

LaTeX Go

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

How do you find the Unsupported Column Length?

To estimate the slenderness ratio of column, lo is taken as the unsupported length and this is considered to be equal to the clear distance between two beams, slabs etc. which provides lateral-support to column. When haunches are there, clear-distance is taken from the bottom of haunches.

How to Calculate Load Reduction Factor for Column with Fixed Ends?

Load Reduction Factor for Column with Fixed Ends calculator uses Long Column Load Reduction Factor = 1.32-(0.006*Length of Column/Radius of Gyration of Gross Concrete Area) to calculate the Long Column Load Reduction Factor, The Load Reduction Factor for Column with Fixed Ends formula is defined as in the design of such columns considering the factor of buckling, lower value of working stresses in steel and concrete is adopted, by multiplying the general working stresses by the reduction coefficient. Long Column Load Reduction Factor is denoted by R symbol.

How to calculate Load Reduction Factor for Column with Fixed Ends using this online calculator? To use this online calculator for Load Reduction Factor for Column with Fixed Ends, enter Length of Column (l) & Radius of Gyration of Gross Concrete Area (r) and hit the calculate button. Here is how the Load Reduction Factor for Column with Fixed Ends calculation can be explained with given input values -> 1.292727 = 1.32-(0.006*5/1.1).

FAQ

What is Load Reduction Factor for Column with Fixed Ends?

The Load Reduction Factor for Column with Fixed Ends formula is defined as in the design of such columns considering the factor of buckling, lower value of working stresses in steel and concrete is adopted, by multiplying the general working stresses by the reduction coefficient and is represented as R = 1.32-(0.006*l/r) or Long Column Load Reduction Factor = 1.32-(0.006*Length of Column/Radius of Gyration of Gross Concrete Area). 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 & Radius of Gyration of Gross Concrete Area is used to describe the distribution of cross-sectional area in a column around its centroidal axis.

How to calculate Load Reduction Factor for Column with Fixed Ends?

The Load Reduction Factor for Column with Fixed Ends formula is defined as in the design of such columns considering the factor of buckling, lower value of working stresses in steel and concrete is adopted, by multiplying the general working stresses by the reduction coefficient is calculated using Long Column Load Reduction Factor = 1.32-(0.006*Length of Column/Radius of Gyration of Gross Concrete Area). To calculate Load Reduction Factor for Column with Fixed Ends, you need Length of Column (l) & Radius of Gyration of Gross Concrete Area (r). With our tool, you need to enter the respective value for Length of Column & Radius of Gyration of Gross Concrete Area 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 Long Column Load Reduction Factor?

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

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

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