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Deflection in Eccentric Loading Formula

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Deflection in Eccentric Loading the degree to which a structural element is displaced under a load (due to its deformation). Check FAQs

δ = \frac{4 \cdot e load \cdot \frac{P}{P c}}{π \cdot (1 - \frac{P}{P c})}

δ - Deflection in Eccentric Loading?e_load - Eccentricity of Load?P - Axial Load?P_c - Critical Buckling Load?π - Archimedes' constant?

Deflection in Eccentric Loading Example

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Here is how the Deflection in Eccentric Loading equation looks like with Values.

Here is how the Deflection in Eccentric Loading equation looks like with Units.

Here is how the Deflection in Eccentric Loading equation looks like.

0.7393 = \frac{4 \cdot 2.5 \cdot \frac{9.99}{53}}{3.1416 \cdot (1 - \frac{9.99}{53})}

0.7393mm = \frac{4 \cdot 2.5mm \cdot \frac{9.99kN}{53kN}}{3.1416 \cdot (1 - \frac{9.99kN}{53kN})}

0.7393 = \frac{4 \cdot 2.5 \cdot \frac{9.99}{53}}{3.1416 \cdot (1 - \frac{9.99}{53})}

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Deflection in Eccentric Loading Solution

Follow our step by step solution on how to calculate Deflection in Eccentric Loading?

FIRST Step Consider the formula

δ = \frac{4 \cdot e load \cdot \frac{P}{P c}}{π \cdot (1 - \frac{P}{P c})}

Next Step Substitute values of Variables

∴

δ = \frac{4 \cdot 2.5mm \cdot \frac{9.99kN}{53kN}}{π \cdot (1 - \frac{9.99kN}{53kN})}

Next Step Substitute values of Constants

∴

δ = \frac{4 \cdot 2.5mm \cdot \frac{9.99kN}{53kN}}{3.1416 \cdot (1 - \frac{9.99kN}{53kN})}

Next Step Prepare to Evaluate

∴

δ = \frac{4 \cdot 2.5 \cdot \frac{9.99}{53}}{3.1416 \cdot (1 - \frac{9.99}{53})}

Next Step Evaluate

∴

δ = 0.000739343353400621m

Next Step Convert to Output's Unit

∴

δ = 0.739343353400621mm

LAST Step Rounding Answer

∴

δ = 0.7393mm

Deflection in Eccentric Loading Formula Elements

Variables

Constants

Deflection in Eccentric Loading

Deflection in Eccentric Loading the degree to which a structural element is displaced under a load (due to its deformation).

Symbol: δ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection in Eccentric Loading

Eccentricity of Load

Eccentricity of Load is the distance from the center of gravity of the column section to the center of gravity of the applied load.

Symbol: e_load

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Eccentricity of Load

Axial Load

Axial Load is defined as applying a force on a structure directly along an axis of the structure.

Symbol: P

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Axial Load

Critical Buckling Load

Critical Buckling Load is defined as the greatest load that will not cause lateral deflection.

Symbol: P_c

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Critical Buckling Load

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 Eccentric Loading category

Go Total Unit Stress in Eccentric Loading

f = (\frac{P}{A cs}) + (P \cdot c \cdot \frac{e}{I neutral})

Go Cross-Sectional Area given Total Unit Stress in Eccentric Loading

A cs = \frac{P}{f - ((P \cdot c \cdot \frac{e}{I neutral}))}

Go Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading

I neutral = \frac{P \cdot c \cdot e}{f - (\frac{P}{A cs})}

Go Radius of Gyration in Eccentric Loading

k G = \sqrt{\frac{I}{A cs}}

How to Evaluate Deflection in Eccentric Loading?

Deflection in Eccentric Loading evaluator uses Deflection in Eccentric Loading = (4*Eccentricity of Load*Axial Load/Critical Buckling Load)/(pi*(1-Axial Load/Critical Buckling Load)) to evaluate the Deflection in Eccentric Loading, The Deflection in Eccentric Loading formula is defined as the degree to which an element of structure changes shape when a load is applied. Deflection in Eccentric Loading is denoted by δ symbol.

How to evaluate Deflection in Eccentric Loading using this online evaluator? To use this online evaluator for Deflection in Eccentric Loading, enter Eccentricity of Load (e_load), Axial Load (P) & Critical Buckling Load (P_c) and hit the calculate button.

FAQs on Deflection in Eccentric Loading

What is the formula to find Deflection in Eccentric Loading?

The formula of Deflection in Eccentric Loading is expressed as Deflection in Eccentric Loading = (4*Eccentricity of Load*Axial Load/Critical Buckling Load)/(pi*(1-Axial Load/Critical Buckling Load)). Here is an example- 739.3434 = (4*0.0025*9990/53000)/(pi*(1-9990/53000)).

How to calculate Deflection in Eccentric Loading?

With Eccentricity of Load (e_load), Axial Load (P) & Critical Buckling Load (P_c) we can find Deflection in Eccentric Loading using the formula - Deflection in Eccentric Loading = (4*Eccentricity of Load*Axial Load/Critical Buckling Load)/(pi*(1-Axial Load/Critical Buckling Load)). This formula also uses Archimedes' constant .

Can the Deflection in Eccentric Loading be negative?

No, the Deflection in Eccentric Loading, measured in Length cannot be negative.

Which unit is used to measure Deflection in Eccentric Loading?

Deflection in Eccentric Loading is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Deflection in Eccentric Loading can be measured.

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Deflection in Eccentric Loading Formula

Deflection in Eccentric Loading Example

Deflection in Eccentric Loading Solution

Deflection in Eccentric Loading Formula Elements

Other formulas in Eccentric Loading category

How to Evaluate Deflection in Eccentric Loading?

FAQs on Deflection in Eccentric Loading

Variable Name