materials equations Flashcards
stress
force/cross sectional area
strain
change in length/original length
youngs modulus
stress/strain
rigidity
EA
stiffness
rigidity per unit length
k=F/change in length
flexibilty
f=change in length/F
inverse of stiffness
strain rate
change in strain/time
coeficient of viscosity (n)=stress/strain rate
shear stress
shearing force/sheared area
shear strain
angle sheared =x/d
shear strength
shear force required to fracture/sheared area
modulus of rigidity
shear stress/shear strain
max shear stress
stress/2
how are G and E linked
E/2 (1+v)
variation in stress (bending)
stress = eE = y/rE
bending moment
Mc=Fx
bending strength
stress = eE=y/rE Mmax = stress x I/y max
M/I = O/y = E/R
shear stress (torsional)
G angel x r(ab)/L
shear strain
angle r(ab)/l
M applied twisting moment
J G angle of twist/L
M/J = Backwards J/R = G angle/L
I for square and y max
bd3/12
1/2d
i for circle and ymax
pie d4/64
1/2d
i and y max for cylinder
pie/64 x (d4outer-d4inner)
1/2douter