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Load for Deflection in Eccentric Loading Formula

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

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

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

Load for Deflection in Eccentric Loading Example

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

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

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

9.5542 = \frac{53 \cdot 0.7 \cdot 3.1416}{4 \cdot 2.5 + 3.1416 \cdot 0.7}

9.5542kN = \frac{53kN \cdot 0.7mm \cdot 3.1416}{4 \cdot 2.5mm + 3.1416 \cdot 0.7mm}

9.5542 = \frac{53 \cdot 0.7 \cdot 3.1416}{4 \cdot 2.5 + 3.1416 \cdot 0.7}

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Load for Deflection in Eccentric Loading Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = \frac{53kN \cdot 0.7mm \cdot π}{4 \cdot 2.5mm + π \cdot 0.7mm}

Next Step Substitute values of Constants

∴

P = \frac{53kN \cdot 0.7mm \cdot 3.1416}{4 \cdot 2.5mm + 3.1416 \cdot 0.7mm}

Next Step Prepare to Evaluate

∴

P = \frac{53 \cdot 0.7 \cdot 3.1416}{4 \cdot 2.5 + 3.1416 \cdot 0.7}

Next Step Evaluate

∴

P = 9554.22494250899N

Next Step Convert to Output's Unit

∴

P = 9.55422494250899kN

LAST Step Rounding Answer

∴

P = 9.5542kN

Load for Deflection in Eccentric Loading Formula Elements

Variables

Constants

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

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

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 Load for Deflection in Eccentric Loading?

Load for Deflection in Eccentric Loading evaluator uses Axial Load = (Critical Buckling Load*Deflection in Eccentric Loading*pi)/(4*Eccentricity of Load+pi*Deflection in Eccentric Loading) to evaluate the Axial Load, The Load for Deflection in Eccentric Loading is defined as applying a force on a structure directly along an axis of the structure. Axial Load is denoted by P symbol.

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

FAQs on Load for Deflection in Eccentric Loading

What is the formula to find Load for Deflection in Eccentric Loading?

The formula of Load for Deflection in Eccentric Loading is expressed as Axial Load = (Critical Buckling Load*Deflection in Eccentric Loading*pi)/(4*Eccentricity of Load+pi*Deflection in Eccentric Loading). Here is an example- 0.009554 = (53000*0.0007*pi)/(4*0.0025+pi*0.0007).

How to calculate Load for Deflection in Eccentric Loading?

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

Can the Load for Deflection in Eccentric Loading be negative?

No, the Load for Deflection in Eccentric Loading, measured in Force cannot be negative.

Which unit is used to measure Load for Deflection in Eccentric Loading?

Load for 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 Load for Deflection in Eccentric Loading can be measured.

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Load for Deflection in Eccentric Loading Formula

Load for Deflection in Eccentric Loading Example

Load for Deflection in Eccentric Loading Solution

Load for Deflection in Eccentric Loading Formula Elements

Other formulas in Eccentric Loading category

How to Evaluate Load for Deflection in Eccentric Loading?

FAQs on Load for Deflection in Eccentric Loading

Variable Name