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Length of Constraint Formula

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Length of Constraint is the distance between two points of a vibrating object, affecting its natural frequency of free longitudinal vibrations. Check FAQs

l = \frac{δ \cdot E \cdot A}{W}

l - Length of Constraint?δ - Static Deflection?E - Young's Modulus?A - Cross Sectional Area?W - Weight of Body in Newtons?

Length of Constraint Example

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Here is how the Length of Constraint equation looks like with Values.

Here is how the Length of Constraint equation looks like with Units.

Here is how the Length of Constraint equation looks like.

0.1246 = \frac{0.6154 \cdot 15 \cdot 0.108}{8}

0.1246m = \frac{0.6154m \cdot 15N/m \cdot 0.108m²}{8N}

0.1246 = \frac{0.6154 \cdot 15 \cdot 0.108}{8}

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Length of Constraint Solution

Follow our step by step solution on how to calculate Length of Constraint?

FIRST Step Consider the formula

l = \frac{δ \cdot E \cdot A}{W}

Next Step Substitute values of Variables

∴

l = \frac{0.6154m \cdot 15N/m \cdot 0.108m²}{8N}

Next Step Prepare to Evaluate

∴

l = \frac{0.6154 \cdot 15 \cdot 0.108}{8}

Next Step Evaluate

∴

l = 0.1246153845375m

LAST Step Rounding Answer

∴

l = 0.1246m

Length of Constraint Formula Elements

Variables

Length of Constraint

Length of Constraint is the distance between two points of a vibrating object, affecting its natural frequency of free longitudinal vibrations.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Constraint

Static Deflection

Static Deflection is the maximum displacement of an object or structure under a given load, in the context of natural frequency of free longitudinal vibrations.

Symbol: δ

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Static Deflection

Young's Modulus

Young's Modulus is a measure of the stiffness of a solid material and is used to calculate the natural frequency of free longitudinal vibrations.

Symbol: E

Measurement: Stiffness ConstantUnit: N/m

Note: Value should be greater than 0.

Formulas to find Young's Modulus

Cross Sectional Area

Cross Sectional Area is the area of a two-dimensional shape that is perpendicular to the longest axis of a three-dimensional object, used in vibration analysis.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area

Weight of Body in Newtons

Weight of Body in Newtons is the force exerted on an object by gravity, measured in Newtons, during free longitudinal vibrations.

Symbol: W

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Weight of Body in Newtons

Other formulas in Equilibrium Method category

Go Gravitational Pull Balanced by Spring Force

W = s constrain \cdot δ

Go Restoring Force

F re = - s constrain \cdot s body

Go Acceleration of Body given Stiffness of Constraint

a = \frac{s constrain \cdot s body}{W attached}

Go Displacement of Body given Stiffness of Constraint

s body = \frac{W attached \cdot a}{s constrain}

How to Evaluate Length of Constraint?

Length of Constraint evaluator uses Length of Constraint = (Static Deflection*Young's Modulus*Cross Sectional Area)/Weight of Body in Newtons to evaluate the Length of Constraint, Length of Constraint formula is defined as a measure of the distance or size of a constraint in a system, typically used in the context of natural frequency of free longitudinal vibrations, where it plays a crucial role in determining the vibrational characteristics of a system. Length of Constraint is denoted by l symbol.

How to evaluate Length of Constraint using this online evaluator? To use this online evaluator for Length of Constraint, enter Static Deflection (δ), Young's Modulus (E), Cross Sectional Area (A) & Weight of Body in Newtons (W) and hit the calculate button.

FAQs on Length of Constraint

What is the formula to find Length of Constraint?

The formula of Length of Constraint is expressed as Length of Constraint = (Static Deflection*Young's Modulus*Cross Sectional Area)/Weight of Body in Newtons. Here is an example- 0.124615 = (0.615384615*15*0.108)/8.

How to calculate Length of Constraint?

With Static Deflection (δ), Young's Modulus (E), Cross Sectional Area (A) & Weight of Body in Newtons (W) we can find Length of Constraint using the formula - Length of Constraint = (Static Deflection*Young's Modulus*Cross Sectional Area)/Weight of Body in Newtons.

Can the Length of Constraint be negative?

No, the Length of Constraint, measured in Length cannot be negative.

Which unit is used to measure Length of Constraint?

Length of Constraint is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Constraint can be measured.

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Length of Constraint Formula

Length of Constraint Example

Length of Constraint Solution

Length of Constraint Formula Elements

Other formulas in Equilibrium Method category

How to Evaluate Length of Constraint?

FAQs on Length of Constraint

Variable Name