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Unformatted text preview: 103 Chapter 8 Bevel Gears 8.1 A pair of straighttooth bevel gears is to be manufactured for a shaft angle of 90°. If the driver is to have 18 teeth and the velocity ratio is to be 3:1, what are the pitch angles? 2 18 teeth N = , ( 29 3 2 3 2 2 3 54 teeth N N N ϖ ϖ = = = , ( 29 1 2 2 3 tan 18.43 N N γ = = ° , 3 2 90 71.57 γ γ = °  = ° Ans. 8.2 A pair of straighttooth bevel gears has a velocity ratio of 1.5 and a shaft angle of 75°. What are the pitch angles? ( 29 1 2 2 3 sin tan 28.78 cos γ ϖ ϖ Σ = = ° + Σ , 3 2 75 46.22 γ γ = °  = ° Ans. 8.3 A pair of straighttooth bevel gears is to be mounted at a shaft angle of 120°. The pinion and gear are to have 15 teeth and 33 teeth, respectively. What are the pitch angles? ( 29 1 2 3 2 sin tan 27.00 cos N N γ Σ = = ° + Σ , 3 2 120 93.00 γ γ = °  = ° Ans. 8.4 A pair of straighttooth bevel gears with diametral pitch of 2 teeth/in have 19 teeth and 28 teeth, respectively. 28 teeth, respectively....
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 Spring '11
 Jung
 gear, 34.16°, 34.83°, 46.22°, 55.84°, 70.17°

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