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Effective sheet width
 In aerospace structures, Wing and fuselage
skins are stiffened by stringers.
 The stringers are usually connected to skins
using rivets.
 Therefore the skins add stiffness to the
stringers even in buckling.
 This effect can be represented using what we
call Effective Width.
ACE 402- Dr Mohamed Elfarran
Effective sheet width
Before skin buckling both the skin and
stringers carry the same compressive
loads as in Fig. a.
As the load increase, the skin buckles
and cannot carries more than the
buckling load, as in Fig. c.
But at the skin-stinger connection, the
skin stiffened by the stringers that help
carry higher loads.
ACE 402- Dr Mohamed Elfarran
Effective sheet width
Assume skins are simply supported
to the stringers, then the effective
width takes the form,
For light stringers the factor 1.9 is replaced
by 1.7.
If a clamped connection is assumed
between skins and stringers
ACE 402- Dr Mohamed Elfarran
Effective sheet width
When calculating the effective sheet
at the end of the skin (free skin
edge), we use the equation
Then, the total effective width for
this particular stringer takes the form
ACE 402- Dr Mohamed Elfarran
Effective sheet width
If the stringers and skins have different
material properties. We multiply the
effective width equation by a correction
factor .
Notice that the symbol F used by Bruhn refers to stress which we
usually refers to it by the symbol sigma ACE 402- Dr Mohamed Elfarran
Inter-Rivet Buckling
ACE 402- Dr Mohamed Elfarran
Inter-Rivet Buckling
• If the distance between the skin rivets are too long, this can leads to
inter-rivet buckling.
• Therefore, the rivet spacing is designed such that to prevent the inter-
rivet buckling.
• To do so, we assume the sheets between rivets act as a column with
restrained ends.
ACE 402- Dr Mohamed Elfarran
Inter-rivet buckling of sheets under compression
is the rivet spacing
These charts are for
clamped end
conditions, i.e. flat-
head rivets
ACE 402- Dr Mohamed Elfarran
Inter-rivet buckling of sheets under compression
For other end conditions we use equivalent rivet
spacing
=
4
where
C: rivets fixity coefficient
P: rivet spacing
And get Fir form figure C7.14
The rivets fixity coefficient
For flat head 4
For spot welds 3.5
Brazier 3
counter-sunk 1
ACE 402- Dr Mohamed Elfarran
Inter-rivet buckling correction
 If > then no inter-rivet correction and
= +
 If < then
= , = +
ACE 402- Dr Mohamed Elfarran

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Ace 402 lec 5 effective

  • 1.
  • 2. Effective sheet width  In aerospace structures, Wing and fuselage skins are stiffened by stringers.  The stringers are usually connected to skins using rivets.  Therefore the skins add stiffness to the stringers even in buckling.  This effect can be represented using what we call Effective Width. ACE 402- Dr Mohamed Elfarran
  • 3. Effective sheet width Before skin buckling both the skin and stringers carry the same compressive loads as in Fig. a. As the load increase, the skin buckles and cannot carries more than the buckling load, as in Fig. c. But at the skin-stinger connection, the skin stiffened by the stringers that help carry higher loads. ACE 402- Dr Mohamed Elfarran
  • 4. Effective sheet width Assume skins are simply supported to the stringers, then the effective width takes the form, For light stringers the factor 1.9 is replaced by 1.7. If a clamped connection is assumed between skins and stringers ACE 402- Dr Mohamed Elfarran
  • 5. Effective sheet width When calculating the effective sheet at the end of the skin (free skin edge), we use the equation Then, the total effective width for this particular stringer takes the form ACE 402- Dr Mohamed Elfarran
  • 6. Effective sheet width If the stringers and skins have different material properties. We multiply the effective width equation by a correction factor . Notice that the symbol F used by Bruhn refers to stress which we usually refers to it by the symbol sigma ACE 402- Dr Mohamed Elfarran
  • 7. Inter-Rivet Buckling ACE 402- Dr Mohamed Elfarran
  • 8. Inter-Rivet Buckling • If the distance between the skin rivets are too long, this can leads to inter-rivet buckling. • Therefore, the rivet spacing is designed such that to prevent the inter- rivet buckling. • To do so, we assume the sheets between rivets act as a column with restrained ends. ACE 402- Dr Mohamed Elfarran
  • 9. Inter-rivet buckling of sheets under compression is the rivet spacing These charts are for clamped end conditions, i.e. flat- head rivets ACE 402- Dr Mohamed Elfarran
  • 10. Inter-rivet buckling of sheets under compression For other end conditions we use equivalent rivet spacing = 4 where C: rivets fixity coefficient P: rivet spacing And get Fir form figure C7.14 The rivets fixity coefficient For flat head 4 For spot welds 3.5 Brazier 3 counter-sunk 1 ACE 402- Dr Mohamed Elfarran
  • 11. Inter-rivet buckling correction  If > then no inter-rivet correction and = +  If < then = , = + ACE 402- Dr Mohamed Elfarran