Download - MD2 - Compendium
Force method - Compendium of solutions for beam displacements Load case ii displ. at midspan (f)
displ. at end (δ) ij
11 3
lEJ 2
16Mlf EJ 21 6
lEJ
21,0 16
FlEJ 3
48Flf EJ
31,0 24
p lEJ 45
384p lf EJ
1,0 24
M lEJ
11 2
lEJ 2
8Mlf EJ
1,0
l Th
2,0l Th
3
3FlEJ 2
2FlEJ
2
2M lEJ U M l
M EJ
4
8p lEJ
Ex: 1 11 1 12 2 10M M
F
p
p
Bolt connections Bolt geometry data (according to the standard UNI 4535-64)
Allowable stresses for the assessment of bolts:
Allowable stresses for the assessment of plates:
Shear joint assessment Bolt Shear (if only tangential stress) ∙
∙ If combined stress on bolt
2 2
, ,1
b adm b adm
Hole plastic deformation ∙
Tearing ∙
Friction joint assessment , f ∙ ∙ 0,8 ∙ , ∙
Beam profiles
Axis yy Axis xx Linear mass Profile identification
Axis-symmetric elastic problems (disks) General stress solution
Solid disk with external pressure pe
Hollow disk with external and internal pressure pe and pi
222
2222
22222
2222
22
1)(
1)(
rrrrrpp
rrrprp
rrrrrpp
rrrprp
ieeiie
ieeeii
ieeiie
ieeeiir
Rotating solid disk at constant speed = cost – No pressure
2222
222
831
83
)(83
rrrr
e
er
Rotating hollow disk at constant speed = cost – No pressure
)331(8
3)(8
3
22
22222
22
22222
rrrrrr
rrrrrrieei
ieeir
TBN The maximum value of is reached for
r F 'r C1 C2
r 2 38 2r 3
dF 'dr Frr C1 C2
r 2 1 38 2r 2
2
Stress solution for infinite plate with hole
Plate with hole subject to biaxial stresses
Plate with hole subject to internal pressure
Plate with hole subjected to uniaxial load
Theoretical solutions for Kt
Coefficients for fatigue assessment Solution for coefficient to calculate the Notch sensitivity index.
Dimensional coefficient md
Surface finish coefficient ms
Finite Elements