Diagram shows a shaft A B with aluminum segment marked 1 of length 1,000 millimeters inside which is a brass shaft marked 2. Both the shafts are centered on the central axis x. A torque T is applied at B.

Equilibrium equation

T1+T2=T=1,400 N-m

Compatibility equation

T1L1J1G1=T2L2J2G2

For shaft (1):

L1=1,000 mmG1=26 GPa=26,000 N/mm2J1=308,102 mm4

For shaft (2):

L2=1,000 mmG2=38 GPa=38,000 N/mm2J2=225,968 mm4

Substitute these values and solve the equilibrium and compatibility equations simultaneously to obtain:

T1=675.7 N-m          T2=724.3 N-m