Statics 2 Summary Notes

Summary
· Normal and shear stress on
diagrams must
always cancel each

other out .




· [Fx = 0
,
[Fy = 0
,
[Fz = 0

Pressure radius

pR
·
Hoop Stress
, Oyy =
T thickness




·
longitudinal Stress
,
Our =PR Spherical Pressure Vessel A

Cylindrical Pressure Vessel

· For a spherical pressure
vessel , stresses in all directions are
equal due

to
symmetry .

, Summary
· Ear =P o
, Eyy
=
c ,
E22 =
i

· Volumetric strain
,
Evol =
Exc +
Eyy + Ezz



has Eas
· 2D
only and
Eyy

· Enr =
"Bright-Ukleft-due or
Eyy =
dya Local strain



· strain
only happens when there is a
change in shape .
deformation does not volume
· shear
change
dy shear strain if
angle at left and bottom top & right reduces

dun+ a
the

·
Vay = a+ B = -
ve shear strain if
angle at bottom and left increases




· If
angle becomes
larger , expect negative shear strain

· solid
body rotation has no shear because it is
just rotating ,
there

is no deformation .

translations have
·
Rigid body zero shear strain



=
Uky = dur d
+
· Can also be expressed as
Exy

2 like this positive
· Arrows
pointing is a shear