Quote:
Originally Posted by Dorfie
Does a doubler make a structure as strong (or stronger) than single piece of same thickness (combined thickness of doubler and base material).
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Beam theory would conclude that unless a riveted doubler resists shear exactly the same as if the two pieces were completely mechanically joined, then the doubled piece is not as stiff (or strong) as the single piece. Think of it this way, the stiffness of a cantilevered beam is:
d=(F*L^3)/(3*E*bh^3/12)
d=deflection
F=Force
E=modulus of the material
b=width of the beam
h=height of the beam
So, you can see that for a given force and length of a beam, the stiffness goes with the width of the beam, and the depth cubed. So absent the rivets between the two layers, the single thickness is much stiffer. Two layers that can slide are basically only twice as stiff as one layer. The thicker layer is 8 times as stiff as the thinner section, 4 times stiffer than the two layers stacked with no rivets. The rivets add the ability to carry shear between the two, but at a maximum you can approach the stiffness of the thicker section in the first place.
Now, there are a LOT of reasons to laminate the layers separate from this argument (lighter structure for a spar when the loads at the tips diminish, ability to withstand damage, easier to build, costs less to manufacture, etc.)