FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Curvature of Column Based on Column Mode of Failure Formula

Fx Copy

LaTeX Copy

Curvature of Column based on column's mode of failure. Check FAQs

Φ m = e o \cdot \frac{π^{2}}{L^{2}}

Φ_m - Curvature of Column?e_o - Maximum Deflection at Mid Height?L - Effective Length of Column?π - Archimedes' constant?

Curvature of Column Based on Column Mode of Failure Example

With values

With units

Only example

Here is how the Curvature of Column Based on Column Mode of Failure equation looks like with Values.

Here is how the Curvature of Column Based on Column Mode of Failure equation looks like with Units.

Here is how the Curvature of Column Based on Column Mode of Failure equation looks like.

0.2402 = 219 \cdot \frac{{3.1416}^{2}}{3000^{2}}

0.2402 = 219mm \cdot \frac{{3.1416}^{2}}{{3000mm}^{2}}

0.2402 = 219 \cdot \frac{{3.1416}^{2}}{3000^{2}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Columns » fx Curvature of Column Based on Column Mode of Failure

Curvature of Column Based on Column Mode of Failure Solution

Follow our step by step solution on how to calculate Curvature of Column Based on Column Mode of Failure?

FIRST Step Consider the formula

Φ m = e o \cdot \frac{π^{2}}{L^{2}}

Next Step Substitute values of Variables

∴

Φ m = 219mm \cdot \frac{π^{2}}{{3000mm}^{2}}

Next Step Substitute values of Constants

∴

Φ m = 219mm \cdot \frac{{3.1416}^{2}}{{3000mm}^{2}}

Next Step Convert Units

∴

Φ m = 0.219m \cdot \frac{{3.1416}^{2}}{{3m}^{2}}

Next Step Prepare to Evaluate

∴

Φ m = 0.219 \cdot \frac{{3.1416}^{2}}{3^{2}}

Next Step Evaluate

∴

Φ m = 0.240160373759841

LAST Step Rounding Answer

∴

Φ m = 0.2402

Curvature of Column Based on Column Mode of Failure Formula Elements

Variables

Constants

Curvature of Column

Curvature of Column based on column's mode of failure.

Symbol: Φ_m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Curvature of Column

Maximum Deflection at Mid Height

The Maximum Deflection at Mid Height of the equivalent pin-ended column is the largest value of deflected curve calculated at the mid-height of the equivalent pin-ended column.

Symbol: e_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Maximum Deflection at Mid Height

Effective Length of Column

The Effective Length of Column can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Effective Length of Column

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Equivalent Column Concept category

Go Lateral Deflection of Equivalent Pin Ended Column at distance x

e = e o \cdot \sin (\frac{π \cdot x}{L})

Go Maximum Deflection at Mid Height given Lateral Deflection of Pin Ended Column

e o = \frac{e}{\sin (\frac{π \cdot x}{L})}

Go Maximum Deflection at Mid-Height of Equivalent Pin-Ended Column

e o = Φ m \cdot \frac{{(L)}^{2}}{π^{2}}

Go Length of Equivalent Pin Ended Column given Max Deflection at Mid Height

L = \sqrt{\frac{e o \cdot π^{2}}{Φ m}}

How to Evaluate Curvature of Column Based on Column Mode of Failure?

Curvature of Column Based on Column Mode of Failure evaluator uses Curvature of Column = Maximum Deflection at Mid Height*pi^2/Effective Length of Column^2 to evaluate the Curvature of Column, The Curvature of Column Based on Column Mode of Failure formula is defined as the ratio of lateral deflection of the column to the square of the length of the equivalent pin-ended column. Curvature of Column is denoted by Φ_m symbol.

How to evaluate Curvature of Column Based on Column Mode of Failure using this online evaluator? To use this online evaluator for Curvature of Column Based on Column Mode of Failure, enter Maximum Deflection at Mid Height (e_o) & Effective Length of Column (L) and hit the calculate button.

FAQs on Curvature of Column Based on Column Mode of Failure

What is the formula to find Curvature of Column Based on Column Mode of Failure?

The formula of Curvature of Column Based on Column Mode of Failure is expressed as Curvature of Column = Maximum Deflection at Mid Height*pi^2/Effective Length of Column^2. Here is an example- 0.24016 = 0.219*pi^2/3^2.

How to calculate Curvature of Column Based on Column Mode of Failure?

With Maximum Deflection at Mid Height (e_o) & Effective Length of Column (L) we can find Curvature of Column Based on Column Mode of Failure using the formula - Curvature of Column = Maximum Deflection at Mid Height*pi^2/Effective Length of Column^2. This formula also uses Archimedes' constant .

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Curvature of Column Based on Column Mode of Failure Formula

Curvature of Column Based on Column Mode of Failure Example

Curvature of Column Based on Column Mode of Failure Solution

Curvature of Column Based on Column Mode of Failure Formula Elements

Other formulas in Equivalent Column Concept category

How to Evaluate Curvature of Column Based on Column Mode of Failure?

FAQs on Curvature of Column Based on Column Mode of Failure

Variable Name