A 17-tooth 20 pressure angle spur pinion rotates at 1800 rev/min and transmits 4 hp to a 52- tooth…

A 17-tooth 20 pressure angle spur pinion rotates at 1800 rev/min and transmits 4 hp to a 52- tooth…

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A 17-tooth 20° pressure angle spur pinion rotates at 1800 rev/min and transmits 4 hp to a 52-
tooth disk gear. The diametral pitch is 10 teeth/in, the face width 1.5in, and the quality standard
in No. 6. The gears are straddle-mounted with bearings immediately adjacent. The pinion is a
grade 1 steel with a hardness of 240 Brinell tooth surface and through-hardened core. The gear
is steel, through-hardened also, grade 1 material, with a Brinell hardness of 200, tooth surface
and core. Poisson’s ratio is 0.30, Jp=0.30, Jg=0.40, and Young’s modulus is 30(106) psi. The loading
is smooth because of motor and load. Assume a pinion life of 108 cycles and a reliability of 0.90,
and use YN=1.3558N-0.0178, ZN=1.4488N-0.023. The tooth profile is uncrowned. This is a commercial
enclosed gear unit.
a) Find dp, V and Wt
b) Find Ky assuming Ko=1
a. Find the Lewis form factor K, for the gear and pinion
c)
Find KM and YN for the pinion and gear, KB=1
d) For K₁=1 and C=1, find I and Cp
e) Find the endurance strength, the stress, and safety factor in bending for the pinion and
the gears
f) Find the surface strength, stress, and safety factor for wear for the pinion and the gear A 17-tooth 20° pressure angle spur pinion rotates at 1800 rev/min and transmits 4 hp to a 52-
tooth disk gear. The diametral pitch is 10 teeth/in, the face width 1.5in, and the quality standard
in No. 6. The gears are straddle-mounted with bearings immediately adjacent. The pinion is a
grade 1 steel with a hardness of 240 Brinell tooth surface and through-hardened core. The gear
is steel, through-hardened also, grade 1 material, with a Brinell hardness of 200, tooth surface
and core. Poisson’s ratio is 0.30, Jp=0.30, Jg=0.40, and Young’s modulus is 30(106) psi. The loading
is smooth because of motor and load. Assume a pinion life of 108 cycles and a reliability of 0.90,
and use YN=1.3558N-0.0178, ZN=1.4488N-0.023. The tooth profile is uncrowned. This is a commercial
enclosed gear unit.
a) Find dp, V and Wt
b) Find Ky assuming Ko=1
a. Find the Lewis form factor K, for the gear and pinion
c)
Find KM and YN for the pinion and gear, KB=1
d) For K₁=1 and C=1, find I and Cp
e) Find the endurance strength, the stress, and safety factor in bending for the pinion and
the gears
f) Find the surface strength, stress, and safety factor for wear for the pinion and the gear

Expert Answer:

Answer rating: 100% (QA)

To solve this problem we ll go through each part step by step Let s start with part a a Find dp V an
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