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 a measure of distance.
Static Deflection - (Measured in Meter) - Static deflection is the extension or compression of the constraint.
Young's Modulus - (Measured in Newton per Meter) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Cross Sectional Area - (Measured in Square Meter) - Cross sectional area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.
Weight of Body in Newtons - (Measured in Newton) - Weight of Body in Newtons is the force with which a body is pulled toward the earth.
STEP 1: Convert Input(s) to Base Unit
Static Deflection: 0.072 Meter --> 0.072 Meter No Conversion Required
Young's Modulus: 15 Newton per Meter --> 15 Newton per Meter No Conversion Required
Cross Sectional Area: 14.5 Square Meter --> 14.5 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 --> (0.072*15*14.5)/8
Evaluating ... ...
l = 1.9575
STEP 3: Convert Result to Output's Unit
1.9575 Meter --> No Conversion Required
FINAL ANSWER
1.9575 Meter <-- Length of Constraint
(Calculation completed in 00.020 seconds)

Credits

Created by Anshika Arya
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

Length of Constraint Formula

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, The Length of constraint formula is defined as the static deflection times Young's modulus times cross-sectional area, divided by the load at the free end. 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 -> 1.9575 = (0.072*15*14.5)/8.

FAQ

What is Length of Constraint?
The Length of constraint formula is defined as the static deflection times Young's modulus times cross-sectional area, divided by the load at the free end 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 extension or compression of the constraint, Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain, Cross sectional area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point & Weight of Body in Newtons is the force with which a body is pulled toward the earth.
How to calculate Length of Constraint?
The Length of constraint formula is defined as the static deflection times Young's modulus times cross-sectional area, divided by the load at the free end 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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