Clarence 'Kelly' Johnson, of Lockheed's Skunkworks is remembered for 'just enough and no more' in design.
For every pound saved on the U-2 Dragon Lady, they could get one more foot of altitude ( important when you're in the other guy's airspace, and he's got surface-to-air missiles to go with his radar ).
'Kelly' would engineer no further than necessary than what was necessary to satisfy an aircraft's performance criteria.
'Aluminum foil'- thick fuselage skin, which could be dented just by looking at it.
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My first aeroshell 'exploded' under aerodynamic loading, on it's maiden voyage.
My second aeroshell was destroyed one night by young goats which thought my pickup was a great thing to climb and jump off of.
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So yeah, some strength, rigidity, and toughness are more than welcome.
And since drag is a function of frontal area and shape, the rigidity guarantees that your shape will hold.
Take care of the shape, and the shape will take care of the pressures.