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Eccentricity given Deflection in Eccentric Loading Formula

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

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

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

Eccentricity given Deflection in Eccentric Loading Example

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

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

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

2.367 = (3.1416 \cdot (1 - \frac{9.99}{53})) \cdot \frac{0.7}{4 \cdot \frac{9.99}{53}}

2.367mm = (3.1416 \cdot (1 - \frac{9.99kN}{53kN})) \cdot \frac{0.7mm}{4 \cdot \frac{9.99kN}{53kN}}

2.367 = (3.1416 \cdot (1 - \frac{9.99}{53})) \cdot \frac{0.7}{4 \cdot \frac{9.99}{53}}

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Eccentricity given Deflection in Eccentric Loading Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

e load = (π \cdot (1 - \frac{9.99kN}{53kN})) \cdot \frac{0.7mm}{4 \cdot \frac{9.99kN}{53kN}}

Next Step Substitute values of Constants

∴

e load = (3.1416 \cdot (1 - \frac{9.99kN}{53kN})) \cdot \frac{0.7mm}{4 \cdot \frac{9.99kN}{53kN}}

Next Step Prepare to Evaluate

∴

e load = (3.1416 \cdot (1 - \frac{9.99}{53})) \cdot \frac{0.7}{4 \cdot \frac{9.99}{53}}

Next Step Evaluate

∴

e load = 0.00236696521575645m

Next Step Convert to Output's Unit

∴

e load = 2.36696521575645mm

LAST Step Rounding Answer

∴

e load = 2.367mm

Eccentricity given Deflection in Eccentric Loading Formula Elements

Variables

Constants

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

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

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 Eccentricity given Deflection in Eccentric Loading?

Eccentricity given Deflection in Eccentric Loading evaluator uses Eccentricity of Load = (pi*(1-Axial Load/Critical Buckling Load))*Deflection in Eccentric Loading/(4*Axial Load/Critical Buckling Load) to evaluate the Eccentricity of Load, The Eccentricity given Deflection in Eccentric Loading formula is defined as the distance in between the Neutral Axis and Outermost Fiber. Eccentricity of Load is denoted by e_load symbol.

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

FAQs on Eccentricity given Deflection in Eccentric Loading

What is the formula to find Eccentricity given Deflection in Eccentric Loading?

The formula of Eccentricity given Deflection in Eccentric Loading is expressed as Eccentricity of Load = (pi*(1-Axial Load/Critical Buckling Load))*Deflection in Eccentric Loading/(4*Axial Load/Critical Buckling Load). Here is an example- 845.3447 = (pi*(1-9990/53000))*0.0007/(4*9990/53000).

How to calculate Eccentricity given Deflection in Eccentric Loading?

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

Can the Eccentricity given Deflection in Eccentric Loading be negative?

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

Which unit is used to measure Eccentricity given Deflection in Eccentric Loading?

Eccentricity given 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 Eccentricity given Deflection in Eccentric Loading can be measured.

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Eccentricity given Deflection in Eccentric Loading Formula

Eccentricity given Deflection in Eccentric Loading Example

Eccentricity given Deflection in Eccentric Loading Solution

Eccentricity given Deflection in Eccentric Loading Formula Elements

Other formulas in Eccentric Loading category

How to Evaluate Eccentricity given Deflection in Eccentric Loading?

FAQs on Eccentricity given Deflection in Eccentric Loading

Variable Name