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 with which a body is pulled toward the earth.
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.
Length of Constraint - (Measured in Meter) - Length of constraint is a measure of distance.
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
Length of Constraint: 0.124 Meter --> 0.124 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
W = (δ*E*A)/l --> (0.072*15*14.5)/0.124
Evaluating ... ...
W = 126.290322580645
STEP 3: Convert Result to Output's Unit
126.290322580645 Newton --> No Conversion Required
FINAL ANSWER
126.290322580645 126.2903 Newton <-- Weight of Body in Newtons
(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

Load Attached to Free End of Constraint Formula

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, The Load attached to free end of constraint formula is calculated by dividing the product of static deflection, Young's modulus, and cross-sectional area constraint by the length of the constraint. 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 -> 126.2903 = (0.072*15*14.5)/0.124.

FAQ

What is Load Attached to Free End of Constraint?
The Load attached to free end of constraint formula is calculated by dividing the product of static deflection, Young's modulus, and cross-sectional area constraint by the length of the constraint 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 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 & Length of constraint is a measure of distance.
How to calculate Load Attached to Free End of Constraint?
The Load attached to free end of constraint formula is calculated by dividing the product of static deflection, Young's modulus, and cross-sectional area constraint by the length of the constraint 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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