PSI - Issue 24

Fabio Bruzzone et al. / Procedia Structural Integrity 24 (2019) 167–177 F. Bruzzone et al. / Structural Integrity Procedia 00 (2019) 000–000

169

3

Fig. 1. Rotscher’s cone.

if d w < D A < D A , Gr

E p · π

(2)

K p =

D A − d w w · tan ϕ

2 h ·

2 w · d h · tan ϕ

( d w + d h ) · ( D A − d h ) ( d w − d h ) · ( D A + d h )

4

ln

l K −

+

D 2

A − d

By analysing Equations (1) and (2), it is possible to rewrite them in simple form as K p = E p · A n l K

. In particular,

if D A ≤ d w the equivalent area A n becomes

π 4 ·

2 h

D 2

A − d

(3)

A n =

D A d w ≤

3

if 1 <

1 ·   0 . 2 d w · l ∗ K +

2  

π 8 ·

l ∗ K 10

2 h +

π 4 ·

D A d w −

d 2

w − d

A n =

(4)

D a d w

> 3

if

π 4 ·

h

d w + 0 . 1 · l ∗ K

2 − d 2

(5)

A n =

where l ∗ K is defined as the minimum value between the actual length of the clamped members or 8 times the diameter of the bolt or screw head, and w represents a flag for distinguishing the ESV ( w = 2) from DSV ( w = 1) conditions.