1) Hook's law of elasticity
F = k e
WHERE :
F = Force
k = Spring constant
e = Extension of spring
NOTE: The Hooke law is only applicable if the string is in Proportional limit, using external force.
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2) Strain
WHERE :
∆L = Difference in length
L = Original length
NOTE: The strain is of two parts tensile and compressive.
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3) Stress
WHERE :
F = Perpendicular force
A = Cross sectional area
NOTE: The stress is of two parts tensile and compressive.
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4) Modulus of Elasticity
WHERE :
Y = Modulus of Elasticity
NOTE: Modulus of Elasticity depends on the properties of the material.
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5) Spring Constant
WHERE :
k = Spring Constant
A = Cross sectional area
L = Length of the string
Y = Modulus of Elasticity
NOTE: It is derived from Hooke's law and Modulus of Elasticity.
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6) Thermal Stress Force
WHERE :
F = Thermal Stress Force
A = Cross sectional area
α = Temperature coefficient
Y = Modulus of Elasticity
Δθ = Temperature difference
NOTE: Expansion or compression depends on temperature. ( Δθ = θ(2)- θ(1) ).
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7) Elastic potential energy
WHERE :
E = Elastic potential energy
F = Elastic Force
e = Extension of spring
k = Spring Constant
NOTE: The elastic potential energy is the force exerted by any external force on any elastic fiber that changes its length.
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8) Thermal strain energy
WHERE :
E = Thermal strain energy
A = Cross sectional area
Y = Modulus of Elasticity
L = Length
α = Temperature coefficient
Δθ = Temperature difference
NOTE: Thermal strain energy depends on the temperature.
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