A steel spur pinion and gear have a diametral pitch of 12 teeth/in, milled teeth, 17 and 30 teeth respectively, a 20° pressure angle, a face width of 7/8 in and a pinion speed of 525 rpm. Use design factor 2.25. What is the power rating of the gearset? ( Here, sy=42s_y = 42sy=42 Kpsi, sut=76s_{ut}=76sut=76 Kpsi and Brinell hardness =149).
A spur gear set has 17 teeth and 51 teeth. The pressure angle is 20° and the overload factor kok_oko = 1. The diametral pitch is 6 teeth/in and face width is 2 in. The pinion speed is 1120 rev/min and life of 10810^8108 cycles at a reliability of 99%. The quality no. is 5. The material is through hardened steel, grade 1, BHN 232 core and case of both gear. For a design factor of 2, rate the gear set based on bending.
A 20∘20^{\circ}20∘ spur pinion with 20 teeth and a module of 2.5 mm transmits 120 W to a 36 teeth gear. The pinion speed is 100 rev/min, and the gears are grade 1, 18 mm face width through hardened steel at 200 BHN, uncrowned and quality No. 6. Asses the weak part based on bending.
A 20∘20^{\circ}20∘ full-depth steel spur pinion rotates at 1145 rev/min. It has a module of 6 mm, a face width of 75 mm, and 16 milled teeth. The ultimate tensile strength at the involute is 900 MPa exhibiting a Brinell hardness of 260. The gear is steel with 30 teeth and has identical material strengths. For a design factor of 1.3 find the power rating of the gearset based on the pinion and the gear resisting bending and wear fatigue.
A spur gear set has 17 teeth on the pinion and 51 teeth on the gear. The pressure angle is 20∘20^{\circ}20∘ and the overload factor ko=1k_o = 1ko=1. The diametral pitch is 6 teeth/in and the face width is 2 in. The pinion speed is 1120 rev/min and its cycle life is to be 10810^8108 revolutions at a reliability R=0.99R = 0.99R=0.99. The quality number is 5. The material is a through hardened steel grade 1 with Brinell hardness of 232 core and case of both gears. For a design factor of 2, rate the gear set for these conditions using the AGMA method.