Strength of Materials Flashcards
Stress Formula, σ
σ = F/A
Two types of normal stress
Tensile and Compressive
What is Bearing Stress?
Contact pressure between separate body
Shear Stress
Sliding caused by the load
Deformation under axial loading formula
δ = PL / AE
Stiffness formula
k = P / γ
Flexibility Formula
f = 1/k
What is Modulus of Resilience
-Area of elastic zone
-energy needed to return to its original form
Modulus of Toughness
-area of yielding + strain hardening + necking
-energy needed for the steel to break
Strain energy formula
ω = Pδ / 2
Poisson’s Ratio
ν = - εy / εx
= - lateral strain / axial strain
Multi-Axial Strain Formula
εx = 1/E [σx - ν(σy + σz)]
εy = 1/E [σy - ν(σx+ σz)]
εx = 1/E [σz - ν(σx + σy)]
Dilatation
e = ΔV/V ~ εx + εy + εz