Round Tube

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is a box section or a tube more torsionally rigid?

For example is a 50mm round tube 1.6mm thick more torsionally rigid than a 50mm square tube 1.6mm thick? Intuitively I think that the round tube should be more rigid however the equations I find (say on wikipedia) show that the square will be more rigid. Could some mechanical/civil engineer give me the formulae for a round tube and a rectangular section? thanks!

It's a tricky question.

The square cross section will have less displacement per unit of torque. However the sharp corners are stress concentrators, so given the same (high) torque, the square shape will have higher peak stresses, or put another way, will not be able to handle as much torque as the tube shape.

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1 OD x 12 Long x 1 4 Wall 6061 T6511 Aluminum Round Tube 1 OD x 250 Wall
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1 OD x 24 Long x 1 4 Wall 6061 T6511 Aluminum Round Tube 1 OD x 250 Wall
1 OD x 24 Long x 1 4 Wall 6061 T6511 Aluminum Round Tube 1 OD x 250 Wall
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1 OD x 36 Long x 1 4 Wall 6061 T6511 Aluminum Round Tube 1 OD x 250 Wall
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1 OD x 48 Long x 1 4 Wall 6061 T6511 Aluminum Round Tube 1 OD x 250 Wall
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1 OD x 60 Long x 1 4 Wall 6061 T6511 Aluminum Round Tube 1 OD x 250 Wall
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1 OD x 72 Long x 1 4 Wall 6061 T6511 Aluminum Round Tube 1 OD x 250 Wall
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1 OD x 12 Long x 1 4 Wall 6061 T6511 Aluminum Round Tube 3 Pack Combo
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3 4 OD x 12 Long x 1 8 Wall 6061 T6511 Aluminum Round Tube 750 OD x 125
3 4 OD x 12 Long x 1 8 Wall 6061 T6511 Aluminum Round Tube 750 OD x 125
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3 4 OD x 24 Long x 1 8 Wall 6061 T6511 Aluminum Round Tube 750 OD x 125
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3 4 OD x 36 Long x 1 8 Wall 6061 T6511 Aluminum Round Tube 750 OD x 125
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3 4 OD x 60 Long x 1 8 Wall 6061 T6511 Aluminum Round Tube 750 OD x 125
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3 OD x 2 ID x 12 x 1 2 Wall 6061 Aluminum Round Tube 3OD x 500 Wall
3 OD x 2 ID x 12 x 1 2 Wall 6061 Aluminum Round Tube 3OD x 500 Wall
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3 OD x 2 ID x 24 x 1 2 Wall 6061 Aluminum Round Tube 3OD x 500 Wall
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3 OD x 2 ID x 36 x 1 2 Wall 6061 Aluminum Round Tube 3OD x 500 Wall
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3 OD x 2 ID x 48 x 1 2 Wall 6061 Aluminum Round Tube 3OD x 500 Wall
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3 OD x 2 ID x 72 x 1 2 Wall 6061 Aluminum Round Tube 3OD x 500 Wall
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Tandy Leather Round Tube Punch Press Die 3993 00
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3 OD x 2 ID x 6125 x 1 2 Wall 6061 Aluminum Round Tube 3OD x 500 Wall
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4 OD x 3 1 2 ID x 48 6061 Alumiunum Round Tube x 1 4 Wall 4 OD x 1 4Wall
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4 OD x 3 1 2 ID x 60 6061 Alumiunum Round Tube x 1 4 Wall 4 OD x 1 4Wall
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4 OD x 3 1 2 ID x 72 6061 Alumiunum Round Tube x 1 4 Wall 4 OD x 1 4Wall
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4 OD x 3 ID x 12 x 1 2 Wall 6061 Aluminum Round Tube 4OD x 500 Wall 6061
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4 OD x 3 ID x 48 x 1 2 Wall 6061 Aluminum Round Tube 4OD x 500 Wall 6061
4 OD x 3 ID x 48 x 1 2 Wall 6061 Aluminum Round Tube 4OD x 500 Wall 6061
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4 OD x 3 ID x 60 x 1 2 Wall 6061 Aluminum Round Tube 4OD x 500 Wall 6061
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4 OD x 3 ID x 6 x 1 2 Wall 6061 Aluminum Round Tube 4OD x 500 Wall 6061
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