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

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Short Columns Estimation of Effective Length of Columns

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✖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 of Gross Concrete Area [r]			+10% -10%

✖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.ⓘ Unsupported Column Length for Single Curvature Bent Member given Load Reduction Factor [l]

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

STEP 0: Pre-Calculation Summary

Formula Used

Length of Column = (1.07-Long Column Load Reduction Factor)*Radius of Gyration of Gross Concrete Area/0.008
l = (1.07-R)*r/0.008
This formula uses 3 Variables

Variables Used

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.
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

Long Column Load Reduction Factor: 1.033 --> No Conversion Required
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

l = (1.07-R)*r/0.008 --> (1.07-1.033)*1.1/0.008

Evaluating ... ...

l = 5.08750000000002

STEP 3: Convert Result to Output's Unit

5.08750000000002 Meter -->5087.50000000002 Millimeter (Check conversion here)

FINAL ANSWER

5087.50000000002 ≈ 5087.5 Millimeter <-- Length of Column

(Calculation completed in 00.004 seconds)

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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)

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

LaTeX Go

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

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

Unsupported Column Length for Single Curvature Bent Member given Load Reduction Factor calculator uses Length of Column = (1.07-Long Column Load Reduction Factor)*Radius of Gyration of Gross Concrete Area/0.008 to calculate the Length of Column, The Unsupported Column Length for Single Curvature Bent Member given Load Reduction Factor formula is defined as distance between end supports of column. Length of Column is denoted by l symbol.

How to calculate Unsupported Column Length for Single Curvature Bent Member given Load Reduction Factor using this online calculator? To use this online calculator for Unsupported Column Length for Single Curvature Bent Member given Load Reduction Factor, enter Long Column Load Reduction Factor (R) & Radius of Gyration of Gross Concrete Area (r) and hit the calculate button. Here is how the Unsupported Column Length for Single Curvature Bent Member given Load Reduction Factor calculation can be explained with given input values -> 7.8E+7 = (1.07-1.033)*1.1/0.008.

FAQ

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

The Unsupported Column Length for Single Curvature Bent Member given Load Reduction Factor formula is defined as distance between end supports of column and is represented as l = (1.07-R)*r/0.008 or Length of Column = (1.07-Long Column Load Reduction Factor)*Radius of Gyration of Gross Concrete Area/0.008. Long Column Load Reduction Factor is the lower value of working stresses in steel and concrete is adopted by considering the factor of buckling & 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 Unsupported Column Length for Single Curvature Bent Member given Load Reduction Factor?

The Unsupported Column Length for Single Curvature Bent Member given Load Reduction Factor formula is defined as distance between end supports of column is calculated using Length of Column = (1.07-Long Column Load Reduction Factor)*Radius of Gyration of Gross Concrete Area/0.008. To calculate Unsupported Column Length for Single Curvature Bent Member given Load Reduction Factor, you need Long Column Load Reduction Factor (R) & Radius of Gyration of Gross Concrete Area (r). With our tool, you need to enter the respective value for Long Column Load Reduction Factor & 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.

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