Load Attached to Free End 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%
✖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]			+10% -10%

✖Weight of Body in Newtons is the force exerted on an object by gravity, measured in Newtons, during free longitudinal vibrations.ⓘ Load Attached to Free End of Constraint [W]

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Load Attached to Free End of Constraint Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

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
Length of Constraint: 0.124615 Meter --> 0.124615 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = (δ*E*A)/l --> (0.615384615*15*0.108)/0.124615

Evaluating ... ...

W = 8.00002468643422

STEP 3: Convert Result to Output's Unit

8.00002468643422 Newton --> No Conversion Required

FINAL ANSWER

8.00002468643422 ≈ 8.000025 Newton <-- Weight of Body in Newtons

(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 » Load Attached to Free End of Constraint

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National Institute Of Technology (NIT), Hamirpur

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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

Load Attached to Free End of Constraint Formula

LaTeX Go

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

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 Load Attached to Free End of Constraint?

Load Attached to Free End of Constraint calculator uses Weight of Body in Newtons = (Static Deflection*Young's Modulus*Cross Sectional Area)/Length of Constraint to calculate the Weight of Body in Newtons, Load Attached to Free End of Constraint formula is defined as the force exerted on the free end of a constraint, which is a critical parameter in determining the natural frequency of free longitudinal vibrations in a system, and is essential in mechanical engineering and structural analysis to ensure stability and safety. Weight of Body in Newtons is denoted by W symbol.

How to calculate Load Attached to Free End of Constraint using this online calculator? To use this online calculator for Load Attached to Free End of Constraint, enter Static Deflection (δ), Young's Modulus (E), Cross Sectional Area (A) & Length of Constraint (l) and hit the calculate button. Here is how the Load Attached to Free End of Constraint calculation can be explained with given input values -> 8.039702 = (0.615384615*15*0.108)/0.124615.

FAQ

What is Load Attached to Free End of Constraint?

Load Attached to Free End of Constraint formula is defined as the force exerted on the free end of a constraint, which is a critical parameter in determining the natural frequency of free longitudinal vibrations in a system, and is essential in mechanical engineering and structural analysis to ensure stability and safety and is represented as W = (δ*E*A)/l or Weight of Body in Newtons = (Static Deflection*Young's Modulus*Cross Sectional Area)/Length of Constraint. 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 & Length of Constraint is the distance between two points of a vibrating object, affecting its natural frequency of free longitudinal vibrations.

How to calculate Load Attached to Free End of Constraint?

Load Attached to Free End of Constraint formula is defined as the force exerted on the free end of a constraint, which is a critical parameter in determining the natural frequency of free longitudinal vibrations in a system, and is essential in mechanical engineering and structural analysis to ensure stability and safety is calculated using Weight of Body in Newtons = (Static Deflection*Young's Modulus*Cross Sectional Area)/Length of Constraint. To calculate Load Attached to Free End of Constraint, you need Static Deflection (δ), Young's Modulus (E), Cross Sectional Area (A) & Length of Constraint (l). With our tool, you need to enter the respective value for Static Deflection, Young's Modulus, Cross Sectional Area & Length of Constraint and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Weight of Body in Newtons?

In this formula, Weight of Body in Newtons uses Static Deflection, Young's Modulus, Cross Sectional Area & Length of Constraint. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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