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Acceleration of Body given Stiffness of Shaft Calculator

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General Shaft Shaft Fixed at Both Ends Carrying a Uniformly Distributed Load Shaft Subjected to a Number of Point Loads Uniformly Distributed Load Acting Over a Simply Supported Shaft

✖Stiffness of Shaft is the measure of a shaft's resistance to bending or deformation during free transverse vibrations, affecting its natural frequency.ⓘ Stiffness of Shaft [s]			+10% -10%
✖Load Attached to Free End of Constraint is the force applied to the free end of a constraint in a system undergoing free transverse vibrations.ⓘ Load Attached to Free End of Constraint [W_attached]			+10% -10%
✖Displacement of Body is the maximum distance moved by an object from its mean position during free transverse vibrations at its natural frequency.ⓘ Displacement of Body [s_body]			+10% -10%

✖Acceleration is the rate of change in velocity to the change in Time.ⓘ Acceleration of Body given Stiffness of Shaft [a]

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Acceleration of Body given Stiffness of Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Acceleration = (-Stiffness of Shaft/Load Attached to Free End of Constraint)*Displacement of Body
a = (-s/W_attached)*s_body
This formula uses 4 Variables

Variables Used

Acceleration - (Measured in Meter per Square Second) - Acceleration is the rate of change in velocity to the change in Time.
Stiffness of Shaft - (Measured in Newton per Meter) - Stiffness of Shaft is the measure of a shaft's resistance to bending or deformation during free transverse vibrations, affecting its natural frequency.
Load Attached to Free End of Constraint - (Measured in Kilogram) - Load Attached to Free End of Constraint is the force applied to the free end of a constraint in a system undergoing free transverse vibrations.
Displacement of Body - (Measured in Meter) - Displacement of Body is the maximum distance moved by an object from its mean position during free transverse vibrations at its natural frequency.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Shaft: 0.63 Newton per Meter --> 0.63 Newton per Meter No Conversion Required
Load Attached to Free End of Constraint: 0.453411 Kilogram --> 0.453411 Kilogram No Conversion Required
Displacement of Body: -10.367 Meter --> -10.367 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = (-s/W_attached)*s_body --> (-0.63/0.453411)*(-10.367)

Evaluating ... ...

a = 14.4046130332083

STEP 3: Convert Result to Output's Unit

14.4046130332083 Meter per Square Second --> No Conversion Required

FINAL ANSWER

14.4046130332083 ≈ 14.40461 Meter per Square Second <-- Acceleration

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Vibrations » Longitudinal and Transverse Vibrations » Natural Frequency of Free Transverse Vibrations » Mechanical » General Shaft » Acceleration of Body given Stiffness of Shaft

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< General Shaft Calculators

Length of Shaft

LaTeX Go Length of Shaft = ((Static Deflection*3*Young's Modulus*Moment of inertia of shaft)/(Load Attached to Free End of Constraint))^(1/3)

Static Deflection given Moment of Inertia of Shaft

LaTeX Go Static Deflection = (Load Attached to Free End of Constraint*Length of Shaft^3)/(3*Young's Modulus*Moment of inertia of shaft)

Moment of Inertia of Shaft given Static Deflection

LaTeX Go Moment of inertia of shaft = (Load Attached to Free End of Constraint*Length of Shaft^3)/(3*Young's Modulus*Static Deflection)

Load at Free End in Free Transverse Vibrations

LaTeX Go Load Attached to Free End of Constraint = (Static Deflection*3*Young's Modulus*Moment of inertia of shaft)/(Length of Shaft^3)

Acceleration of Body given Stiffness of Shaft Formula

LaTeX Go

Acceleration = (-Stiffness of Shaft/Load Attached to Free End of Constraint)*Displacement of Body
a = (-s/W_attached)*s_body

What is the difference between a Longitudinal and Transverse Waves?

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 Acceleration of Body given Stiffness of Shaft?

Acceleration of Body given Stiffness of Shaft calculator uses Acceleration = (-Stiffness of Shaft/Load Attached to Free End of Constraint)*Displacement of Body to calculate the Acceleration, Acceleration of Body given Stiffness of Shaft formula is defined as a measure of the rate of change of velocity of a body attached to a shaft, influenced by the stiffness of the shaft, which affects the natural frequency of free transverse vibrations. Acceleration is denoted by a symbol.

How to calculate Acceleration of Body given Stiffness of Shaft using this online calculator? To use this online calculator for Acceleration of Body given Stiffness of Shaft, enter Stiffness of Shaft (s), Load Attached to Free End of Constraint (W_attached) & Displacement of Body (s_body) and hit the calculate button. Here is how the Acceleration of Body given Stiffness of Shaft calculation can be explained with given input values -> 12.56002 = (-0.63/0.453411)*(-10.367).

FAQ

What is Acceleration of Body given Stiffness of Shaft?

Acceleration of Body given Stiffness of Shaft formula is defined as a measure of the rate of change of velocity of a body attached to a shaft, influenced by the stiffness of the shaft, which affects the natural frequency of free transverse vibrations and is represented as a = (-s/W_attached)*s_body or Acceleration = (-Stiffness of Shaft/Load Attached to Free End of Constraint)*Displacement of Body. Stiffness of Shaft is the measure of a shaft's resistance to bending or deformation during free transverse vibrations, affecting its natural frequency, Load Attached to Free End of Constraint is the force applied to the free end of a constraint in a system undergoing free transverse vibrations & Displacement of Body is the maximum distance moved by an object from its mean position during free transverse vibrations at its natural frequency.

How to calculate Acceleration of Body given Stiffness of Shaft?

Acceleration of Body given Stiffness of Shaft formula is defined as a measure of the rate of change of velocity of a body attached to a shaft, influenced by the stiffness of the shaft, which affects the natural frequency of free transverse vibrations is calculated using Acceleration = (-Stiffness of Shaft/Load Attached to Free End of Constraint)*Displacement of Body. To calculate Acceleration of Body given Stiffness of Shaft, you need Stiffness of Shaft (s), Load Attached to Free End of Constraint (W_attached) & Displacement of Body (s_body). With our tool, you need to enter the respective value for Stiffness of Shaft, Load Attached to Free End of Constraint & Displacement of Body 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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