6. Deformation of solids Flashcards
how it deformation caused
deformation in one dimension is caused by tensile or compressive forces
load, extension, compression and limit of proportionality
load-
extension-
compression-
limit of proportionality-
Hooke’s law
extension is proportional to applied force
spring constant
k = F/ x
spring constant= force/extension
N/m^2 = Nm^-2
stress, strain and the Young modulus
stress- normal force per unit cross sectional area- force/cross sec area
strain- extension per unit unstretched length- extension/ original length
Young’s modulus = σ / ε
stress per unit strength
describe an experiment to determine the Young modulus of a metal in the form of a wire
elastic deformation, plastic deformation and elastic limit
elastic deformation-
plastic deformation-
elastic limit-
area & gradient under the force–extension graph
area=work done to extend wire/spring
area= elastic potential energy stored in wired
gradient= spring constant if force on y-axis. if force on x-axis then gradient = 1/k.
elastic potential energy- formula and graph
elastic potential energy of a material deformed within its limit of proportionality- area under the force–extension graph.
Ep=1/2 Fx
Ep=kx^2