Solution no 5 (pressure angle α = 20˚)

Lower bound Lb = [as same as above]

Upper bound Ub = [as same as above]

Initial condition X0 = [as same as above]

1^st pinion

2^nd pinion

3^rd pinion

4^th pinion

Constant pinion

Rear pinion

Module m

3.4442

3.3699

3.2274

2.8270

3.6172

2.7136

Number of teeth z

14.000

19.000

19.000

19.000

19.000

19.000

Helix angle β

32.000

30.7584

30.7499

30.7265

30.7733

31.7088

Face width b

34.000

33.000

32.000

32.000

32.000

44.000

Pressure angle α_t

23.2283

22.9551

22.9533

22.9483

22.9583

23.1628

Centre distance a

80.000

79.9868

79.9857

79.9820

79.9885

79.9990

Transverse contact ratio ε_α

1.4417

1.4672

1.4749

1.4955

1.4535

1.4930

Overlap ratio ε_β

1.6651

Bending stress σ_F

958.800

793.400

811.000

658.700

366.100

1000.700

Safety factor for bending stress S_F

1.0429

1.2604

1.2331

1.5182

2.7314

0.9993

Contact stress σ_H

1025.100

870.300

811.600

783.800

610.700

1284.300

Safety factor for contact stress σ_H

1.3658

1.6087

1.7249

1.7862

2.2926

1.0901