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

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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. Check FAQs

l = (1.07 - R) \cdot \frac{r}{0.008}

l - Length of Column?R - Long Column Load Reduction Factor?r - Radius of Gyration of Gross Concrete Area?

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

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Here is how the Unsupported Column Length for Single Curvature Bent Member given Load Reduction Factor equation looks like with Values.

Here is how the Unsupported Column Length for Single Curvature Bent Member given Load Reduction Factor equation looks like with Units.

Here is how the Unsupported Column Length for Single Curvature Bent Member given Load Reduction Factor equation looks like.

5087.5 = (1.07 - 1.033) \cdot \frac{1.1}{0.008}

5087.5mm = (1.07 - 1.033) \cdot \frac{1.1m}{0.008}

5087.5 = (1.07 - 1.033) \cdot \frac{1.1}{0.008}

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

Follow our step by step solution on how to calculate Unsupported Column Length for Single Curvature Bent Member given Load Reduction Factor?

FIRST Step Consider the formula

l = (1.07 - R) \cdot \frac{r}{0.008}

Next Step Substitute values of Variables

∴

l = (1.07 - 1.033) \cdot \frac{1.1m}{0.008}

Next Step Prepare to Evaluate

∴

l = (1.07 - 1.033) \cdot \frac{1.1}{0.008}

Next Step Evaluate

∴

l = 5.08750000000002m

Next Step Convert to Output's Unit

∴

l = 5087.50000000002mm

LAST Step Rounding Answer

∴

l = 5087.5mm

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

Variables

Length of Column

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.

Symbol: l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Column

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.

Symbol: R

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Long Column Load Reduction Factor

Radius of Gyration of Gross Concrete Area

Radius of Gyration of Gross Concrete Area is used to describe the distribution of cross-sectional area in a column around its centroidal axis.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Gyration of Gross Concrete Area

Other formulas in Slender Columns category

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

r = 1.07 - (0.008 \cdot \frac{l}{R})

Go Load Reduction Factor for Member Bent in Single Curvature

R = 1.07 - (0.008 \cdot \frac{l}{r})

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

r = 1.32 - (0.006 \cdot \frac{l}{R})

Go Load Reduction Factor for Column with Fixed Ends

R = 1.32 - (0.006 \cdot \frac{l}{r})

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

Unsupported Column Length for Single Curvature Bent Member given Load Reduction Factor evaluator uses Length of Column = (1.07-Long Column Load Reduction Factor)*Radius of Gyration of Gross Concrete Area/0.008 to evaluate 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 evaluate Unsupported Column Length for Single Curvature Bent Member given Load Reduction Factor using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Unsupported Column Length for Single Curvature Bent Member given Load Reduction Factor?

The formula of Unsupported Column Length for Single Curvature Bent Member given Load Reduction Factor is expressed as Length of Column = (1.07-Long Column Load Reduction Factor)*Radius of Gyration of Gross Concrete Area/0.008. Here is an example- 7.8E+7 = (1.07-1.033)*1.1/0.008.

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

With Long Column Load Reduction Factor (R) & Radius of Gyration of Gross Concrete Area (r) we can find Unsupported Column Length for Single Curvature Bent Member given Load Reduction Factor using the formula - Length of Column = (1.07-Long Column Load Reduction Factor)*Radius of Gyration of Gross Concrete Area/0.008.

Can the Unsupported Column Length for Single Curvature Bent Member given Load Reduction Factor be negative?

No, the Unsupported Column Length for Single Curvature Bent Member given Load Reduction Factor, measured in Length cannot be negative.

Which unit is used to measure Unsupported Column Length for Single Curvature Bent Member given Load Reduction Factor?

Unsupported Column Length for Single Curvature Bent Member given Load Reduction Factor is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Unsupported Column Length for Single Curvature Bent Member given Load Reduction Factor can be measured.

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

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

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

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

Other formulas in Slender Columns category

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

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

Variable Name