- Sep 21, 2016 The calculation module for shaft design and check can advantageously be used for the final precise establishment of worm shaft deflection. 2.2 Material of worm/gear. Worm gearing strength is limited by various. Worm Gear Box Design Calculator. MechGuru's Worm Gear Box Design Calculator.
- 13 Gears—General Chapter Outline 13-1 Types of Gears 13-2 Nomenclature 13-3 Conjugate Action 13-4 Involute Properties 13-5 Fundamentals 13-6 Contact Ratio 13-7 Interference 13-8 The Forming of Gear Teeth 13-9 Straight Bevel Gears 13-10 Parallel Helical Gears 13-11 Worm Gears 13-12 Tooth Systems 13-13 Gear Trains 13-14 Force Analysis—Spur Gearing 13-15 Force Analysis—Bevel Gearing.
- Worm Gear Design Calculation Pdf Online
- Worm Gear Design Formula
- Worm Gear Design Guide
- Worm Gear Formulas
Worm Gear Design Calculator
Resources:
Spur Gear design formula for geometry, pitch, tooth clearance and critical functional data.
(Inch Units Applicable for Constants)
Where:
φ = Pressure Angle
a = Addendum
aG = Addendum of Gear
aP = Addendum of Pinion
b = Dedendum
c = Clearance
C = Center Distance
D = Pitch Diameter
DG = Pitch Diameter of Gear
DP = Pitch Diameter of Pinion
DB = Base Circle Diameter
DO = Outside Diameter
DR = Root Diameter
F = Face Width
hk = Working Depth of Tooth
ht = Whole Depth of Tooth
mG = Gear Ratio
N = Number of Teeth
NG = Number of Teeth in Gear
NP = Number of Teeth in Pinion
p = Circular Pitch
P=Diametral Pitch
Equations for Standards Spur Gears
To Find | Equation | |
Base Circle Pitch | DB = D cosφ | |
Circular Pitch | p = ( π D )/ N p = π / P | |
Center Distance | C = Np (mG + 1) / 2P C = ( Dp + DG ) / 2 C = ( NG + Np ) / 2P C = (NG + Np) p / 2P C = (NG + Np) p / 6.2832 | |
Diametral Pitch | P = π / p P = N / D P = [ Np ( mG + 1) ] / 2C | |
Gear Ratio | mG = NG / Np | |
Number of Teeth | N = P D N = ( π D ) / p | |
Outside Diameter (Full Depth Teeth) | DO = ( N + 2 ) / P DO = [ ( N + 2 ) p ] / π | |
Outside Diameter (American Standard Stub Teeth) | DO = ( N + 1.6 ) / P DO = [ ( N + 1.6 ) p ] / π | |
Outside Diameter | DO = D + 2a | |
Pitch Diameter | D = N / P D = (N p ) / π | |
Root Diameter | DR = D - 2b | |
Whole Depth | a + b | |
Working Depth | aG + ap |
Formulas for Tooth Parts, 20-and 25-degree Involute Full-depth Teeth
ANSI Coarse Pitch Spur Gear Tooth Forms ANSI B6.1
To Calculate | Circular Pitch, p, Known |
Addendum | a = 0.3183 × p |
Dedendum (Preferred) | b = 0.3979 × p |
(Shaved or Ground Teeth)a | b = 0.4297 × p |
Working Depth | hk = 0.6366 × p |
Whole Depth (Preferred) | ht = 0.7162 × p |
(Shaved or Ground Teeth) | ht = 0.7480 × p |
Clearance (Preferred)b | c = 0.0796 × p |
(Shaved or Ground Teeth) | c = 0.1114 × p |
Fillet Radius (Rack)c | rf = 0.0955 × p |
Pitch Diameter | D = 0.3183 × Np |
Outside Diameter | DO = 0.3183 × (N + 2) p |
Root Diameter (Preferred) | DR = 0.3183 × (N − 2.5) p |
Root Diameter (Shaved or Ground Teeth) | DR = 0.3183 × (N − 2.7) p |
Circular Thickness Basic | t = p / 2 |
b A minimum clearance of 0.157/P may be used for the basic 20-degree and 25-degree pressure angle rack in the case of shallow root sections and use of existing hobs or cutters.
c The fillet radius of the basic rack should not exceed 0.235/P for a 20-degree pressure angle rack or 0.270/P for a 25-degree pressure angle rack for a clearance of 0.157/P. The basic rack fillet radius must be reduced for teeth with a 25-degree pressure angle having a clearance in excess of 0.250/P.
Worm Gear Design Calculation Pdf Online
Helical Gear
When Defined | |
Normal D.P. (Pn) | Pn= P / cos A |
Number of teeth (N) and the Helix Angle (A) | |
Pitch Diameter (D) | Number of teeth (N), the Normal Diametral Pitch and the Helix Angle (A) |
Outside Diameter (OD) | OD = D + (2 X a) |
Normal Diametral Pitch (P) and the Pitch Diameter (D) | |
Helix Angle (A) for Parallel Shaft Drive | Number of Teeth (N), Pitch Diameter (D) and the Diametral Pitch (P) |
Addendum (a) | a = 1 / Pn |
Pitch Diameter (D) and Pitch Helix Angle |
Worm Gear Design Formula
Circular Pitches and Equivalent Diametral Pitches Table
Circular Pitch | Module | Addendum | Dedendum or Depth of Space Below Pitch Line | ||||
4 | 0.7854 | 32.3402 | 2.0000 | 1.2732 | 2.5464 | 1.4732 | 2.7464 |
3 - 1/2 | 0.8976 | 28.2581 | 1.7500 | 1.1140 | 2.2281 | 1.2890 | 2.4031 |
3 | 1.0472 | 24.2552 | 1.5000 | 0.9549 | 1.9098 | 1.1049 | 2.0598 |
2 - 3/4 | 1.1424 | 22.2339 | 1.3750 | 0.8753 | 1.7506 | 1.0128 | 1.8881 |
2 - 1/2 | 1.2566 | 20.2117 | 1.2500 | 0.7957 | 1.5915 | 0.9207 | 1.7165 |
2 - 1/4 | 1.3963 | 18.1913 | 1.1250 | 0.7162 | 1.4323 | 0.8287 | 1.5448 |
2 | 1.5708 | 16.1701 | 1.0000 | 0.6366 | 1.2732 | 0.7366 | 1.3732 |
1 - 7/8 | 1.6755 | 15.1595 | 0.9375 | 0.5968 | 1.1937 | 0.6906 | 1.2874 |
1 - 3/4 | 1.7952 | 14.1488 | 0.8750 | 0.5570 | 1.1141 | 0.6445 | 1.2016 |
1 - 5/8 | 1.9333 | 13.1382 | 0.8125 | 0.5173 | 1.0345 | 0.5985 | 1.1158 |
1 - 1/2 | 2.0944 | 12.1276 | 0.7500 | 0.4775 | 0.9549 | 0.5525 | 1.0299 |
1 - 7/16 | 2.1855 | 11.6223 | 0.7187 | 0.4576 | 0.9151 | 0.5294 | 0.9870 |
1 - 3/8 | 2.2848 | 11.1169 | 0.6875 | 0.4377 | 0.8754 | 0.5064 | 0.9441 |
1 - 5/16 | 2.3936 | 10.6116 | 0.6562 | 0.4178 | 0.8356 | 0.4834 | 0.9012 |
1 - 1/4 | 2.5133 | 10.1062 | 0.6250 | 0.3979 | 0.7958 | 0.4604 | 0.8583 |
1 - 3/16 | 2.6456 | 9.6010 | 0.5937 | 0.3780 | 0.7560 | 0.4374 | 0.8154 |
1 - 1/8 | 2.7925 | 9.0958 | 0.5625 | 0.3581 | 0.7162 | 0.4143 | 0.7724 |
1 - 1/16 | 2.9568 | 8.5904 | 0.5312 | 0.3382 | 0.6764 | 0.3913 | 0.7295 |
1 | 3.1416 | 8.0851 | 0.5000 | 0.3183 | 0.6366 | 0.3683 | 0.6866 |
15/16 | 3.3510 | 7.5798 | 0.4687 | 0.2984 | 0.5968 | 0.3453 | 0.6437 |
7/8 | 3.5904 | 7.0744 | 0.4375 | 0.2785 | 0.5570 | 0.3223 | 0.6007 |
13/16 | 3.8666 | 6.5692 | 0.4062 | 0.2586 | 0.5173 | 0.2993 | 0.5579 |
3/4 | 4.1888 | 6.0639 | 0.3750 | 0.2387 | 0.4775 | 0.2762 | 0.5150 |
11/16 | 4.5696 | 5.5586 | 0.3437 | 0.2189 | 0.4377 | 0.2532 | 0.4720 |
2/3 | 4.7124 | 5.3903 | 0.3333 | 0.2122 | 0.4244 | 0.2455 | 0.4577 |
5/8 | 5.0265 | 5.0532 | 0.3125 | 0.1989 | 0.3979 | 0.2301 | 0.4291 |
9/16 | 5.5851 | 4.5479 | 0.2812 | 0.1790 | 0.3581 | 0.2071 | 0.3862 |
1/2 | 6.2832 | 4.0426 | 0.2500 | 0.1592 | 0.3183 | 0.1842 | 0.3433 |
7/16 | 7.1808 | 3.5373 | 0.2187 | 0.1393 | 0.2785 | 0.1611 | 0.3003 |
2/5 | 7.8540 | 3.2340 | 0.2000 | 0.1273 | 0.2546 | 0.1473 | 0.2746 |
3/8 | 8.3776 | 3.0319 | 0.1875 | 0.1194 | 0.2387 | 0.1381 | 0.2575 |
1/3 | 9.4248 | 2.6947 | 0.1666 | 0.1061 | 0.2122 | 0.1228 | 0.2289 |
5/16 | 10.0531 | 2.5266 | 0.1562 | 0.0995 | 0.1989 | 0.1151 | 0.2146 |
2/7 | 10.9956 | 2.3100 | 0.1429 | 0.0909 | 0.1819 | 0.1052 | 0.1962 |
1/4 | 12.5664 | 2.0213 | 0.1250 | 0.0796 | 0.1591 | 0.0921 | 0.1716 |
2/9 | 14.1372 | 1.7967 | 0.1111 | 0.0707 | 0.1415 | 0.0818 | 0.1526 |
1/5 | 15.7080 | 1.6170 | 0.1000 | 0.0637 | 0.1273 | 0.0737 | 0.1373 |
3/16 | 16.7552 | 1.5160 | 0.0937 | 0.0597 | 0.1194 | 0.0690 | 0.1287 |
1/6 | 18.8496 | .5053 | 0.0833 | 0.0531 | 0.1061 | 0.0614 | 0.1144 |
Worm Gear Design Guide
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