Axial Loading Flashcards
Define the strength of a material
The amount of force it is able to resist before failure
Define the stiffness of a material
The amount of deformation it is able to resist before failure
For which materials does Poisson’s Ratio apply
isotropic materials, we are also assuming that the materials are deforming within the elastic region, if the poisons ratio is between 0 - 0.5 the material expands or shrink in the perpendicular direction to the deforming force
What is an isotropic material
a material whose properties remain the same in different directions.
What is Poisson’s Ratio
a dimensionless material property which tells you how much a given material will contract in the lateral direction when pulled in the longitudinal direction
Normal Stress
σ = F / A
units = N/m^2 = Pa
Normal Strain
ε = δ / L
δ = axial deformation
L = original length
Hooke’s Law
the strain of the material is proportional to the applied stress within the elastic limit of that material
Young’s modulus
E = σ / ε
a property of the material that tells us how easily it can stretch
Define Proportionality limit
the point on a stress-strain curve where the linear, elastic deformation region transitions into a non-linear (curve)
Define Elastic limit
the maximum stress a material can endure without sustaining permanent deformation
Define Yield point
the stress at which a material begins to deform plastically (permanent)
How do you calculate Poisson’s Ratio
ν = ε lat. / ε long.
How do you work out deformation due to temperature change
δ = α * ΔT * L
α = coefficient of thermal expansion
ΔT = change in temperature
L = length