A Segment of a Drive Shaft $\left( d _ { 2 } = 200 \mathrm {~mm} , d _ { 1 } = 160 \mathrm {~mm} \right)$

Multiple Choice

A segment of a drive shaft ( $\left( d _ { 2 } = 200 \mathrm {~mm} , d _ { 1 } = 160 \mathrm {~mm} \right)$ is subjected to a torque $T = 30 \mathrm { kN } \cdot \mathrm { m } \text {. The }$ allowable shear stress in the shaft is 45 MPa. The maximum permissible compressive load $45 \mathrm { MPa }$ P is approximately:

A) $200 \mathrm { kN }$
B) $286 \mathrm { kN }$
C) $328 \mathrm { kN }$
D) $442 \mathrm { kN }$