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MMLU-Pro / 11336 / A bevel gear is keyed to a steel shaft by a steel feather key. The gear delivers…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

A bevel gear is keyed to a steel shaft by a steel feather key. The gear delivers a torque of 7500 in.-lb. and the shaft has a 2 in. diameter. Compute the key length if: (a) The key has thickness = (1/2) in. and width = (3/4) in (b) The key has thickness = (3/4) in. and width = (1/2) in Assume permissible stress values in compression and tension of 16,500 psi and in shear of 8500 psi, for the key material.

category

engineering

options

  1. (a) 1.5 in, (b) 1 (1/2) in
  2. (a) 2.25 in, (b) 1.25 in
  3. (a) 1.75 in, (b) 2.25 in
  4. (a) 2.0 in, (b) 1 (3/4) in
  5. (a) 2.5 in, (b) 2 in
  6. (a) 1.0 in, (b) 3.0 in
  7. (a) 3.5 in, (b) 2.0 in
  8. (a) 2.75 in, (b) 1.75 in
  9. (a) 3.25 in, (b) 2.5 in
  10. (a) 3.0 in, (b) 2 (1/4) in

src

stemez-MachineDesign

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Source and history

upstream_id / Original problem ID
11336
task_id
919ce0c8-553c-5a4d-9d16-c4cf14b8b998
task_key
default--test--11336
task_revision_id
1
config / split
default / test

Official source

initial import