2022-06-15T23:46:29+03:00[Europe/Moscow] af true Hooke's Law, Force equation, Limit of proportionality, The elastic limit, elastic deformation, plastic deformation, force vs extension graph, Tensile stress, Tensile strain, stress equation, strain equation, Breaking stress, the ultimate tensile srtress, how does a brittle material fracture?, How does a ductile material fracture?, what is the strength of the material?, if hooke's law is obeyed the energy stored is..., work done equations, what can the energuy in a spring be transformed to?, What happens up to the limit of proportionality?, What is young modulus?, young modulus equation, What is the gradient of a stress strain graph?, What is the area under the stress strain graph equivalent to?, energy per unit volume equation, The smaller the cross-sectional area..., springs in series force and extension, springs in parallel force and extension, springs in parallel springs constant equation, springs constant for springs in series, what is elastic strain energy?, elastic energy stored in a stretched wire equation, the spring constant, why does a spering recoil after weight has been exerted onto it?, The forece exctension graph for a rubber band, Necking flashcards
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  • Hooke's Law
    Hooke's law says that the force applied is directly proportional to the extension
  • Force equation
    Force = spring constant x change in length 
  • Limit of proportionality
    The limit of proportionality is the point beyond which Hooke's law no longer applies
  • The elastic limit
    The elastic limit is the maximum stress that can be applied without plastic deformation which is when it does not return to its original shape
  • elastic deformation
    material returns to its original shape andf has no permenant extension, energy is stored as elastic strain energy
  • plastic deformation
    material is permanently stretched because the atoms have physically moved relative to one another, energy is used to deform it
  • force vs extension graph
  • Tensile stress
    the force applied per unit cross sectional area, measured in Pa/Nm^-2
  • Tensile strain
    the extension per unit original length, a ratio so has no unit
  • stress equation
    Force/cross sectional area
  • strain equation
    extension/original length
  • Breaking stress
    If enough stress is applied to the material it can fracture
  • the ultimate tensile srtress
    the maximum stress it can withold
  • how does a brittle material fracture?
    witout showing any plastic behaviour
  • How does a ductile material fracture?
    can be stretched into long wires and stays permentanly stretched, shows plastic behaviour
  • what is the strength of the material?
    the ultimate tensile stress?
  • if hooke's law is obeyed the energy stored is...
    the area under the force extension graph
  • work done equations
  • what can the energuy in a spring be transformed to?
    kinetic and gravitational potential energy
  • What happens up to the limit of proportionality?
    stress and strain are directly proportional to each other
  • What is young modulus?
    a constant measure of stiffness
  • young modulus equation
    tensile stress/tensile strain (Pa, Nm^-2)
  • What is the gradient of a stress strain graph?
    young modulus
  • What is the area under the stress strain graph equivalent to?
    strain energy per unit volume
  • energy per unit volume equation
    1/2 x stress x strain
  • The smaller the cross-sectional area...
    the greater the stress- meaning that the breaking point can be reached faster than expected
  • springs in series force and extension
    The force acting on the springs must be the same The extension of each spring must add to the total extension
  • springs in parallel force and extension
    the extension of each spring must be shared by the springs and must add up to the total force
  • springs in parallel springs constant equation
    kT = k1 + k2 ...
  • springs constant for springs in series
    1/kT = 1/K1 + 1/k2
  • what is elastic strain energy?
    the energy store for when work is done on a material to stretch or compress it
  • elastic energy stored in a stretched wire equation
    1/2 x T x e
  • the spring constant
    a measure of stiffness of an object, up to its limit of proportionality, Nm^-1
  • why does a spering recoil after weight has been exerted onto it?
    The spring will exert an equal and opposite force to the force stretching it in order to restore equilibrium/remain at rest again As springs have a restorative force
  • The forece exctension graph for a rubber band
    The loading curve is the c urve produced when the force applied is increasing The unloading curve is the curve produced when the force applied is decreasing  As the unloading curve is under the loading curve this shows that the rubber gives up less energy than it originally took in 
    The loading curve is the c urve produced when the force applied is increasing The unloading curve is the curve produced when the force applied is decreasing  As the unloading curve is under the loading curve this shows that the rubber gives up less energy than it originally took in 
  • Necking
    the material shows 'necking' one part of it narrows considerably. The stress dramatically increases compared to strain / extension increases daramitally fompared to force locally in the necking region