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1、Chapter 3 Torsion Mechanics of Materials3.7 Statically Indeterminate Torsional MembersStatically Indeterminate Torsional MembersStatically IndeterminateThe equations of equilibrium will no longer be adequate for determining the torques.Compatibility Equationspertaining to the rotational displacement
2、sEquilibrium Equations+Complementary Equations Torque-DisplacementRelationsStatically Indeterminate Torsional MembersStep1 Write equations of equilibriumT1T2Statically Indeterminate Torsional MembersStep2 Formulate equations of compatibilityStatically Indeterminate Torsional MembersStep3 Relate the
3、angles of twist to the torques by torque-displacement relationsStatically Indeterminate Torsional MembersExampleThe bar ACB is fixed at both ends and loaded by a torque T0 at point C.Segments AC and CB of the bar have lengths LA and LB,respectively.The material of the bar is the same throughout both segments.Obtain formulas for the reactive torques TA and TB at the ends.Statically Indeterminate Torsional MembersExampleWrite equations of equilibriumFormulate equations of compatibilityEnd