Length of Constraint Calculator

✖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.ⓘ Static Deflection [δ]			+10% -10%
✖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.ⓘ Young's Modulus [E]			+10% -10%
✖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.ⓘ Cross Sectional Area [A]			+10% -10%
✖Weight of Body in Newtons is the force exerted on an object by gravity, measured in Newtons, during free longitudinal vibrations.ⓘ Weight of Body in Newtons [W]			+10% -10%

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

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Length of Constraint Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Constraint = (Static Deflection*Young's Modulus*Cross Sectional Area)/Weight of Body in Newtons
l = (δ*E*A)/W
This formula uses 5 Variables

Variables Used

Length of Constraint - (Measured in Meter) - Length of Constraint is the distance between two points of a vibrating object, affecting its natural frequency of free longitudinal vibrations.
Static Deflection - (Measured in Meter) - 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.
Young's Modulus - (Measured in Newton per Meter) - 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.
Cross Sectional Area - (Measured in Square Meter) - 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.
Weight of Body in Newtons - (Measured in Newton) - Weight of Body in Newtons is the force exerted on an object by gravity, measured in Newtons, during free longitudinal vibrations.

STEP 1: Convert Input(s) to Base Unit

Static Deflection: 0.615384615 Meter --> 0.615384615 Meter No Conversion Required
Young's Modulus: 15 Newton per Meter --> 15 Newton per Meter No Conversion Required
Cross Sectional Area: 0.108 Square Meter --> 0.108 Square Meter No Conversion Required
Weight of Body in Newtons: 8 Newton --> 8 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l = (δ*E*A)/W --> (0.615384615*15*0.108)/8

Evaluating ... ...

l = 0.1246153845375

STEP 3: Convert Result to Output's Unit

0.1246153845375 Meter --> No Conversion Required

FINAL ANSWER

0.1246153845375 ≈ 0.124615 Meter <-- Length of Constraint

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Vibrations » Longitudinal and Transverse Vibrations » Natural Frequency of Free Longitudinal Vibrations » Mechanical » Equilibrium Method » Length of Constraint

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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< Equilibrium Method Calculators

Acceleration of Body given Stiffness of Constraint

LaTeX Go Acceleration of Body = (Stiffness of Constraint*Displacement of Body)/Load Attached to Free End of Constraint

Displacement of Body given Stiffness of Constraint

LaTeX Go Displacement of Body = (Load Attached to Free End of Constraint*Acceleration of Body)/Stiffness of Constraint

Gravitational Pull Balanced by Spring Force

LaTeX Go Weight of Body in Newtons = Stiffness of Constraint*Static Deflection

Restoring Force

LaTeX Go Restoring Force = -Stiffness of Constraint*Displacement of Body

Length of Constraint Formula

LaTeX Go

Length of Constraint = (Static Deflection*Young's Modulus*Cross Sectional Area)/Weight of Body in Newtons
l = (δ*E*A)/W

What is difference between longitudinal and transverse wave?

Transverse waves are always characterized by particle motion being perpendicular to wave motion. A longitudinal wave is a wave in which particles of the medium move in a direction parallel to the direction that the wave moves.

How to Calculate Length of Constraint?

Length of Constraint calculator uses Length of Constraint = (Static Deflection*Young's Modulus*Cross Sectional Area)/Weight of Body in Newtons to calculate 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 calculate Length of Constraint using this online calculator? To use this online calculator 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. Here is how the Length of Constraint calculation can be explained with given input values -> 0.124615 = (0.615384615*15*0.108)/8.

FAQ

What is 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 and is represented as l = (δ*E*A)/W or Length of Constraint = (Static Deflection*Young's Modulus*Cross Sectional Area)/Weight of Body in Newtons. 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, 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, 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 & Weight of Body in Newtons is the force exerted on an object by gravity, measured in Newtons, during free longitudinal vibrations.

How to calculate 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 is calculated using Length of Constraint = (Static Deflection*Young's Modulus*Cross Sectional Area)/Weight of Body in Newtons. To calculate Length of Constraint, you need Static Deflection (δ), Young's Modulus (E), Cross Sectional Area (A) & Weight of Body in Newtons (W). With our tool, you need to enter the respective value for Static Deflection, Young's Modulus, Cross Sectional Area & Weight of Body in Newtons and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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