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ME383-Exam4-EquationSheet

# ME383-Exam4-EquationSheet - HP = T rpm(T ft-lbs 5252 N P d...

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HP = T × rpm 5252 (T: ft-lbs) V = π dn 12 HP = W t V 33000 W t = T d 2 d = N P d = mN ω 1 ω 2 = N 2 N 1 T 1 T 2 = N 1 N 2 T 1 ω 1 = T 2 ω 2 W r = W t tan φ W a = W t tan ψ σ = K v W t P FY K v 1200 + V 1200 (V: ft/min) S e = k a k b k c k d k e k f S e Use S e = 0.5 S u for steels stress concentration: K f = 1 + q K t 1 ( ) normal stresses: Yield: n = S y σ max normal stresses: Goodman Equation: 1 n = σ a S e + σ m S u Von Mises Stress: σ = σ 1 σ 2 ( ) 2 + σ 1 σ 3 ( ) 2 + σ 2 σ 3 ( ) 2 2 1 2 σ = σ x 2 + 3 τ xy 2 ( ) 1 2 Table 14-2 Values of Lewis Form Factor Y Number of Teeth Y Number of Teeth Y 12 0.245 28 0.353 13 0.261 30 0.359 14 0.277 34 0.371 15 0.290 38 0.384 16 0.296 43 0.397 17 0.303 50 0.409 18 0.309 60 0.422 19 0.314 75 0.435 20 0.322 100 0.447 21 0.328 150 0.460 22 0.331 300 0.472 24 0.337 400 0.480 26 0.346 rack 0.485 Factor a Surface Finish S ut , kpsi S ut , MPa Exponent b Ground

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ME383-Exam4-EquationSheet - HP = T rpm(T ft-lbs 5252 N P d...

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