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Weight of Body in Newtons is the force exerted on an object by gravity, measured in Newtons, during free longitudinal vibrations. Check FAQs
W=δ⋅E⋅Al
W - Weight of Body in Newtons?δ - Static Deflection?E - Young's Modulus?A - Cross Sectional Area?l - Length of Constraint?

Load Attached to Free End of Constraint Example

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With units
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Here is how the Load Attached to Free End of Constraint equation looks like with Values.

Here is how the Load Attached to Free End of Constraint equation looks like with Units.

Here is how the Load Attached to Free End of Constraint equation looks like.

8Edit=0.6154Edit⋅15Edit⋅0.108Edit0.1246Edit
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Load Attached to Free End of Constraint Solution

Follow our step by step solution on how to calculate Load Attached to Free End of Constraint?

FIRST Step Consider the formula
W=δ⋅E⋅Al
Next Step Substitute values of Variables
∴ W=0.6154m⋅15N/m⋅0.108m²0.1246m
Next Step Prepare to Evaluate
∴ W=0.6154⋅15⋅0.1080.1246
Next Step Evaluate
∴W=8.00002468643422N
LAST Step Rounding Answer
∴W=8N

Load Attached to Free End of Constraint Formula Elements

Variables
Weight of Body in Newtons
Weight of Body in Newtons is the force exerted on an object by gravity, measured in Newtons, during free longitudinal vibrations.
Symbol: W
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Formulas to find Weight of Body in NewtonsOpen Variable
Static Deflection
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.
Symbol: δ
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Static DeflectionOpen Variable
Young's Modulus
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.
Symbol: E
Measurement: Stiffness ConstantUnit: N/m
Note: Value should be greater than 0.
Formulas to find Young's ModulusOpen Variable
Cross Sectional Area
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.
Symbol: A
Measurement: AreaUnit: m²
Note: Value should be greater than 0.
Formulas to find Cross Sectional AreaOpen Variable
Length of Constraint
Length of Constraint is the distance between two points of a vibrating object, affecting its natural frequency of free longitudinal vibrations.
Symbol: l
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Length of ConstraintOpen Variable

Other Formulas to find Weight of Body in Newtons

​Go Gravitational Pull Balanced by Spring Force
W=sconstrain⋅δ

Other formulas in Equilibrium Method category

​Go Restoring Force
Fre=-sconstrain⋅sbody
​Go Acceleration of Body given Stiffness of Constraint
a=sconstrain⋅sbodyWattached
​Go Displacement of Body given Stiffness of Constraint
sbody=Wattached⋅asconstrain
​Go Angular Velocity of Free Longitudinal Vibrations
ω=sconstrainmspring

How to Evaluate Load Attached to Free End of Constraint?

Load Attached to Free End of Constraint evaluator uses Weight of Body in Newtons = (Static Deflection*Young's Modulus*Cross Sectional Area)/Length of Constraint to evaluate 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 evaluate Load Attached to Free End of Constraint using this online evaluator? To use this online evaluator 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.

FAQs on Load Attached to Free End of Constraint

What is the formula to find Load Attached to Free End of Constraint?
The formula of Load Attached to Free End of Constraint is expressed as Weight of Body in Newtons = (Static Deflection*Young's Modulus*Cross Sectional Area)/Length of Constraint. Here is an example- 8.039702 = (0.615384615*15*0.108)/0.124615.
How to calculate Load Attached to Free End of Constraint?
With Static Deflection (δ), Young's Modulus (E), Cross Sectional Area (A) & Length of Constraint (l) we can find Load Attached to Free End of Constraint using the formula - Weight of Body in Newtons = (Static Deflection*Young's Modulus*Cross Sectional Area)/Length of Constraint.
What are the other ways to Calculate Weight of Body in Newtons?
Here are the different ways to Calculate Weight of Body in Newtons-
  • Weight of Body in Newtons=Stiffness of Constraint*Static DeflectionOpenImg
Can the Load Attached to Free End of Constraint be negative?
No, the Load Attached to Free End of Constraint, measured in Force cannot be negative.
Which unit is used to measure Load Attached to Free End of Constraint?
Load Attached to Free End of Constraint is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Load Attached to Free End of Constraint can be measured.
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