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Critical Buckling Load given Deflection in Eccentric Loading Formula

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

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

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

Critical Buckling Load given Deflection in Eccentric Loading Example

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Here is how the Critical Buckling Load given Deflection in Eccentric Loading equation looks like with Values.

Here is how the Critical Buckling Load given Deflection in Eccentric Loading equation looks like with Units.

Here is how the Critical Buckling Load given Deflection in Eccentric Loading equation looks like.

55.4174 = \frac{9.99 \cdot (4 \cdot 2.5 + 3.1416 \cdot 0.7)}{0.7 \cdot 3.1416}

55.4174kN = \frac{9.99kN \cdot (4 \cdot 2.5mm + 3.1416 \cdot 0.7mm)}{0.7mm \cdot 3.1416}

55.4174 = \frac{9.99 \cdot (4 \cdot 2.5 + 3.1416 \cdot 0.7)}{0.7 \cdot 3.1416}

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Critical Buckling Load given Deflection in Eccentric Loading Solution

Follow our step by step solution on how to calculate Critical Buckling Load given Deflection in Eccentric Loading?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P c = \frac{9.99kN \cdot (4 \cdot 2.5mm + π \cdot 0.7mm)}{0.7mm \cdot π}

Next Step Substitute values of Constants

∴

P c = \frac{9.99kN \cdot (4 \cdot 2.5mm + 3.1416 \cdot 0.7mm)}{0.7mm \cdot 3.1416}

Next Step Prepare to Evaluate

∴

P c = \frac{9.99 \cdot (4 \cdot 2.5 + 3.1416 \cdot 0.7)}{0.7 \cdot 3.1416}

Next Step Evaluate

∴

P c = 55417.3680425153N

Next Step Convert to Output's Unit

∴

P c = 55.4173680425153kN

LAST Step Rounding Answer

∴

P c = 55.4174kN

Critical Buckling Load given Deflection in Eccentric Loading Formula Elements

Variables

Constants

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

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

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

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 Critical Buckling Load given Deflection in Eccentric Loading?

Critical Buckling Load given Deflection in Eccentric Loading evaluator uses Critical Buckling Load = (Axial Load*(4*Eccentricity of Load+pi*Deflection in Eccentric Loading))/(Deflection in Eccentric Loading*pi) to evaluate the Critical Buckling Load, The Critical Buckling Load given Deflection in Eccentric Loading formula is defined as the greatest load that will not cause lateral deflection (buckling). Critical Buckling Load is denoted by P_c symbol.

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

FAQs on Critical Buckling Load given Deflection in Eccentric Loading

What is the formula to find Critical Buckling Load given Deflection in Eccentric Loading?

The formula of Critical Buckling Load given Deflection in Eccentric Loading is expressed as Critical Buckling Load = (Axial Load*(4*Eccentricity of Load+pi*Deflection in Eccentric Loading))/(Deflection in Eccentric Loading*pi). Here is an example- 0.055417 = (9990*(4*0.0025+pi*0.0007))/(0.0007*pi).

How to calculate Critical Buckling Load given Deflection in Eccentric Loading?

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

Can the Critical Buckling Load given Deflection in Eccentric Loading be negative?

Yes, the Critical Buckling Load given Deflection in Eccentric Loading, measured in Force can be negative.

Which unit is used to measure Critical Buckling Load given Deflection in Eccentric Loading?

Critical Buckling Load given Deflection in Eccentric Loading is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Critical Buckling Load given Deflection in Eccentric Loading can be measured.

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Critical Buckling Load given Deflection in Eccentric Loading Formula

Critical Buckling Load given Deflection in Eccentric Loading Example

Critical Buckling Load given Deflection in Eccentric Loading Solution

Critical Buckling Load given Deflection in Eccentric Loading Formula Elements

Other formulas in Eccentric Loading category

How to Evaluate Critical Buckling Load given Deflection in Eccentric Loading?

FAQs on Critical Buckling Load given Deflection in Eccentric Loading

Variable Name