8._Torsion_of_Multi-Cell_Cross-Section_-

8._Torsion_of_Multi-Cell_Cross-Section_- - AERSP 301...

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AERSP 301 Torsion of Multi-Cell Cross-Sections Jose Palacios Fall 2009
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Pure torsion of multi-cell c/s Pure torsion of multi-cell c/s Pure torsion case, no axial restraint ( no direct stresses, only shear stresses present). Wing booms have no effect in the pure torsion case. Wing section comprises N cells, carries torque T. All cells experience the same rate of twist.
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Pure torsion of multi-cell c/s Pure torsion of multi-cell c/s Individual torques (unknown) are generated in each cell Each cell develops constant shear flow:
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Pure torsion of multi-cell c/s Pure torsion of multi-cell c/s Also use compatibility of rate of twist between the cells. For the R th cell the rate of twist is: Note: for each wall
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Pure torsion of multi-cell c/s Pure torsion of multi-cell c/s Rearranging terms: or
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Pure torsion of multi-cell c/s Pure torsion of multi-cell c/s In general terms: δ R-1,R is δ R is for all the walls enclosing the Rth cell δ R+1,R is for wall common to cells R & R+1
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8._Torsion_of_Multi-Cell_Cross-Section_- - AERSP 301...

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