Displacement of Body given Stiffness of Constraint Solution

STEP 0: Pre-Calculation Summary
Formula Used
Displacement of Body = (-Load Attached to Free End of Constraint*Acceleration of Body)/Stiffness of Constraint
sbody = (-Wattached*a)/sconstrain
This formula uses 4 Variables
Variables Used
Displacement of Body - (Measured in Meter) - Displacement of Body is defined to be the change in position of an object.
Load Attached to Free End of Constraint - (Measured in Kilogram) - Load attached to free end of constraint is a weight or source of pressure.
Acceleration of Body - (Measured in Meter per Square Second) - Acceleration of Body is the rate of change in velocity to the change in time.
Stiffness of Constraint - (Measured in Newton per Meter) - Stiffness of Constraint is the force required to produce unit displacement in the direction of vibration.
STEP 1: Convert Input(s) to Base Unit
Load Attached to Free End of Constraint: 0.52 Kilogram --> 0.52 Kilogram No Conversion Required
Acceleration of Body: 4.8 Meter per Square Second --> 4.8 Meter per Square Second No Conversion Required
Stiffness of Constraint: 13 Newton per Meter --> 13 Newton per Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
sbody = (-Wattached*a)/sconstrain --> (-0.52*4.8)/13
Evaluating ... ...
sbody = -0.192
STEP 3: Convert Result to Output's Unit
-0.192 Meter --> No Conversion Required
FINAL ANSWER
-0.192 Meter <-- Displacement of Body
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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12 Equilibrium Method Calculators

Load Attached to Free End of Constraint
Go Weight of Body in Newtons = (Static Deflection*Young's Modulus*Cross Sectional Area)/Length of Constraint
Length of Constraint
Go Length of Constraint = (Static Deflection*Young's Modulus*Cross Sectional Area)/Weight of Body in Newtons
Restoring Force using Weight of Body
Go Force = Weight of Body in Newtons-Stiffness of Constraint*(Static Deflection+Displacement of Body)
Acceleration of Body given Stiffness of Constraint
Go Acceleration of Body = (-Stiffness of Constraint*Displacement of Body)/Load Attached to Free End of Constraint
Displacement of Body given Stiffness of Constraint
Go Displacement of Body = (-Load Attached to Free End of Constraint*Acceleration of Body)/Stiffness of Constraint
Time Period of Free Longitudinal Vibrations
Go Time Period = 2*pi*sqrt(Weight of Body in Newtons/Stiffness of Constraint)
Angular Velocity of Free Longitudinal Vibrations
Go Natural Circular Frequency = sqrt(Stiffness of Constraint/Mass suspended from spring)
Critical Damping Coefficient given Spring Constant
Go Critical Damping Coefficient = 2*sqrt(Spring Constant/Mass suspended from spring)
Static Deflection given Natural Frequency
Go Static Deflection = (Acceleration due to Gravity)/((2*pi*Frequency)^2)
Gravitational Pull Balanced by Spring Force
Go Weight of Body in Newtons = Stiffness of Constraint*Static Deflection
Restoring Force
Go Force = -Stiffness of Constraint*Displacement of Body
Young's Modulus
Go Young's Modulus = Stress/Strain

Displacement of Body given Stiffness of Constraint Formula

Displacement of Body = (-Load Attached to Free End of Constraint*Acceleration of Body)/Stiffness of Constraint
sbody = (-Wattached*a)/sconstrain

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 Displacement of Body given Stiffness of Constraint?

Displacement of Body given Stiffness of Constraint calculator uses Displacement of Body = (-Load Attached to Free End of Constraint*Acceleration of Body)/Stiffness of Constraint to calculate the Displacement of Body, The Displacement of Body given Stiffness of Constraint formula implies that an object has moved, or has been displaced. Displacement is defined to be the change in position of an object. Displacement of Body is denoted by sbody symbol.

How to calculate Displacement of Body given Stiffness of Constraint using this online calculator? To use this online calculator for Displacement of Body given Stiffness of Constraint, enter Load Attached to Free End of Constraint (Wattached), Acceleration of Body (a) & Stiffness of Constraint (sconstrain) and hit the calculate button. Here is how the Displacement of Body given Stiffness of Constraint calculation can be explained with given input values -> -0.192 = (-0.52*4.8)/13.

FAQ

What is Displacement of Body given Stiffness of Constraint?
The Displacement of Body given Stiffness of Constraint formula implies that an object has moved, or has been displaced. Displacement is defined to be the change in position of an object and is represented as sbody = (-Wattached*a)/sconstrain or Displacement of Body = (-Load Attached to Free End of Constraint*Acceleration of Body)/Stiffness of Constraint. Load attached to free end of constraint is a weight or source of pressure, Acceleration of Body is the rate of change in velocity to the change in time & Stiffness of Constraint is the force required to produce unit displacement in the direction of vibration.
How to calculate Displacement of Body given Stiffness of Constraint?
The Displacement of Body given Stiffness of Constraint formula implies that an object has moved, or has been displaced. Displacement is defined to be the change in position of an object is calculated using Displacement of Body = (-Load Attached to Free End of Constraint*Acceleration of Body)/Stiffness of Constraint. To calculate Displacement of Body given Stiffness of Constraint, you need Load Attached to Free End of Constraint (Wattached), Acceleration of Body (a) & Stiffness of Constraint (sconstrain). With our tool, you need to enter the respective value for Load Attached to Free End of Constraint, Acceleration of Body & Stiffness of Constraint 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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