This document discusses effective sheet width and inter-rivet buckling in aerospace structures. It explains that stringers stiffen wing and fuselage skins, and skins provide stiffness to stringers even when buckling. An effective width calculation accounts for this effect. The document also describes how inter-rivet buckling can occur if rivet spacing is too long, and provides equations to calculate the effective rivet spacing to prevent this issue.
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Ace 402 lec 5 effective
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
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