Question

M6.19 Shear stresses in coaxial shafts scenes Note: J 3 G3 G2 40 mm C1 1.92x10 mm* J1 (1) 10 kN-m G1 75 GPa (2) 34 mm (3) 2.10x10% mm 32 45 GPa 400 mm G2 400 mm Ti (kN-m) A composite torsion member consists of a tubular shell (1) bonded to length AB of a continuous solid shaft that extends from A to C, which is labeled (2) and (3). A concentrated torque T is applied to free end C of the shaft in the direction shown. T2 (kN-m) It1l (MPa) Determine the internal torques and shear stresses in shell (1) and core (2) (i.e., between A and B). Also, determine the rotation angle at end C. It21 (MPa) (rad) (Use the sign convention detailed in the fourth scene of this movie for internal torques and rotation angles.) 1st 2nd 3rd Try one enter attempt I I II I II Shaft properties

Answer 1

=J2.10x 1os mm G=4S KN/Mmmy JJ=1.92X106mmt T 10 KN.m GO T J T (0000 KN.Mm T3T 10000 to.mm we tnow, , 2 Trdi T292 GJI T1 T2 45X2.10X106 1.S238 T2 T And, Tit T T From and 2 S238 T2t T2T 2.238T2- lo000 T2 3962.29 KN mm 3.962 KNM Foom eeo T1S238x3.962 T 6037.721 KN.mn TG0388 n m C037.721X10 192X 106 X4o 12S.785 MPa N/X

362.279X103 34 2.10106 64.IST Mpa 20 A2 00 X S 400mm A3400mm G2G3 I2-G3 Tli T33 G333 (6000 X 400 GISI COBA.721X400 FFXLO92X106 + 45x2 IX 10 o.os910 8 (0