Problem 5 1. Find the number of teeth, gear Ng, circular pitch p, base pitch Pb,...
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Problem 5 1. Find the number of teeth, gear Ng, circular pitch på, base pitch Pb, pitch diameters dp and d, center distance C, addendum a, dedendum b, whole depth h₁. 2. Calculate the torque on the pinion shaft Tp and the output torque Tg. 3. Calculate the resultant force between pinion and gear W, the tangential component W, and the radial component W₁. 4. Calculate bearing reactions at bearing A and bearing B on input shaft based on pinion forces. Input shaft Tp H Given parameters: Diametral pitch Number of teeth, pinion Gear ratio Pressure angle Transmitted power Pinion speed 4 in 5 in N₂ Ng B Output shaft Tg 1 Pa = 5-in N₂ := 20 MG := 4.5 6:= 20-deg P:= 20-hp Wp:= 1400-rpm Pinion D Ng N₂ Gear Solution proposal: Number of teeth, gear Circular pitch Base pitch Pitch diameter, pinion Pitch diameter, gear Center distance Addendum Dedendum Whole depth The torque on the pinion shaft The output torque The tangential component of load The radial component of load The total load Reaction bearing A Reaction bearing B Ng = 90 Pc = 0.628 in Pb = 0.59-in dp = 4 in dg = 18 in C = 11-in a = 0.2.in b = 0.25-in h, = 0.45-in = 900-lbf-in Tp Tg = 4052-1bf-in W₁ = 450-lbf W₁ = 164-1bf W = 479-lbf R₁ = 266.2.1bf RB = 212.9.lbf Problem 5 1. Find the number of teeth, gear Ng, circular pitch på, base pitch Pb, pitch diameters dp and d, center distance C, addendum a, dedendum b, whole depth h₁. 2. Calculate the torque on the pinion shaft Tp and the output torque Tg. 3. Calculate the resultant force between pinion and gear W, the tangential component W, and the radial component W₁. 4. Calculate bearing reactions at bearing A and bearing B on input shaft based on pinion forces. Input shaft Tp H Given parameters: Diametral pitch Number of teeth, pinion Gear ratio Pressure angle Transmitted power Pinion speed 4 in 5 in N₂ Ng B Output shaft Tg 1 Pa = 5-in N₂ := 20 MG := 4.5 6:= 20-deg P:= 20-hp Wp:= 1400-rpm Pinion D Ng N₂ Gear Solution proposal: Number of teeth, gear Circular pitch Base pitch Pitch diameter, pinion Pitch diameter, gear Center distance Addendum Dedendum Whole depth The torque on the pinion shaft The output torque The tangential component of load The radial component of load The total load Reaction bearing A Reaction bearing B Ng = 90 Pc = 0.628 in Pb = 0.59-in dp = 4 in dg = 18 in C = 11-in a = 0.2.in b = 0.25-in h, = 0.45-in = 900-lbf-in Tp Tg = 4052-1bf-in W₁ = 450-lbf W₁ = 164-1bf W = 479-lbf R₁ = 266.2.1bf RB = 212.9.lbf
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