$8.9 Torsion 183 Fig.8.5."Series-connected"shaft-common torque. In some applications it is convenient to ensure that the angles of twist in each shaft are equal,i.e.0 =02,so that for similar materials in each shaft J1=J2 Ly L2 or =4 LJ (8.16 8.9.Composite shafts-parallel connection If two or more materials are rigidly fixed together such that the applied torque is shared between them then the composite shaft so formed is said to be connected in parallel (Fig.8.6). Fixed end end Torque T Fig.8.6."Parallel-connected"shaft-shared torque. For parallel connection, total torque T=T1+T2 (8.17) In this case the angles of twist of each portion are equal and TiL:T2L2 三 (8.18) G1J1G2J258.9 Torsion T 183 Fig. 8.5. “Series<onnected shaft - common torque. In some applications it is convenient to ensure that the angles of twist in each shaft are equal, i.e. 8, = f12, so that for similar materials in each shaft Jl Jz Ll L2 LZ J2 --_ - - Ll =- J1 or (8.16) 8.9. Composite shafts - parallel connection If two or more materials are rigidly fixed together such that the applied torque is shared between them then the composite shaft so formed is said to be connected in parallel (Fig. 8.6). Torque T Fig. 8.6. “Parallelconnected” shaft - shared torque. For parallel connection, total torque T = TI +Tz In this case the angles of twist of each portion are equal and (8.17) (8.18)