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MMLU-Pro / 12174 / A flat key is used to prevent slipping of a cast-iron gear mounted on a shaft, 2…

Problem

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

question

A flat key is used to prevent slipping of a cast-iron gear mounted on a shaft, 2 in. in diameter. Determine the appropriate dimensions of the key if the gear delivers 125 hp at 250 rpm. Assume design stresses for shear and bearing as 19,000 psi and 37,000 psi.

category

engineering

options

  1. key thickness = 3/8 in., key width = 1/2 in., key length = 3.32 in.
  2. key thickness = 1/4 in., key width = 3/8 in., key length = 6.0 in.
  3. key thickness = 3/8 in., key width = 1/2 in., key length = 4.6 in.
  4. key thickness = 1/2 in., key width = 1/4 in., key length = 4.0 in.
  5. key thickness = 3/8 in., key width = 5/8 in., key length = 5.0 in.
  6. key thickness = 5/8 in., key width = 3/8 in., key length = 3.32 in.
  7. key thickness = 1/4 in., key width = 5/8 in., key length = 3.5 in.
  8. key thickness = 1/2 in., key width = 1/2 in., key length = 4.6 in.
  9. key thickness = 3/8 in., key width = 3/8 in., key length = 2.5 in.
  10. key thickness = 1/2 in., key width = 3/8 in., key length = 4.6 in.

src

stemez-MachineDesign

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Source and history

upstream_id / Original problem ID
12174
task_id
f7dc19ed-07c9-5596-8c10-754d2199f006
task_key
default--test--12174
task_revision_id
1
config / split
default / test

Official source

initial import