In Figure below the motor at A produces 30 kW of power while turning at 8.0 Hz. The gears at A and B connecting the motor to line shaft BCDE have NA = 30 teeth and NB = 96 teeth, respectively. On the line shaft, gear C takes off PC = 50% of the power, gear D removes PD = 30%, and gear E removes the remainder. The line shaft will be solid, all segments will have the same diameter, and the shaft will be made of steel [G = 80 GPa]. The lengths of the segments are L1 = 4.6 m, L2 = 2.3 m, and L3 = 2.3 m, and the bearings shown permit free rotation of the shaft. Determine the minimum diameter required for line shaft BCDE for an allowable shear stress of 65 MPa and an allowable rotation angle of 10° of gear E relative to gear B.
In Figure below the motor at A produces 30 kW of
power while turning at 8.0 Hz. The gears at A and B connecting the
motor to line shaft BCDE have NA = 30 teeth and NB = 96 teeth,
respectively. On the line shaft, gear C takes off PC = 50% of the
power, gear D removes PD = 30%, and gear E removes the remainder.
The line shaft will be solid, all segments will have the same
diameter, and the shaft will be made of steel [G = 80 GPa]. The
lengths of the segments are L1 = 4.6 m, L2 = 2.3 m, and L3 = 2.3 m,
and the bearings shown permit free rotation of the shaft. Determine
the minimum diameter required for line shaft BCDE for an allowable
shear stress of 65 MPa and an allowable rotation angle of 10°
of gear E relative to gear B.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
