Worm Gear Design Calculation Pdf Viewer

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Gear Calculation Formula Pdf

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Load calculation of gears 239 11.5 Calculation of load on worm gear A worm gear is a kind of spigot gear, which can produce a high reduction ratio with small volume. The load at a meshing point of worm gears is calculated as shown in Table 1. Symbols of Table 1 are as follows: i: Gear ratio i= 1 = ´ gear) 11.1, Calculation of loads on spur. Because gear calculations require many complex formulas related to strengths and sizes, traditional gear design situations require highly specialized knowledge and suitable design time. By utilizing the gear calculator introduced here, it is possible to reduce these burdens substantially. . Worm gears are used when larggge gear reductions are needed. It is common for worm gears to have reductions of 20:1, and even up to 300:1 or greater. Many worm gears have an interesting property that no other gear set has: the worm can easily turn the gear but the gear cannot turn the wormgear, but the gear cannot turn the worm.

Spur Gear design formula for geometry, pitch, tooth clearance and critical functional data.
(Inch Units Applicable for Constants)

Where:
φ = Pressure Angle
a = Addendum
a_G = Addendum of Gear
a_P = Addendum of Pinion
b = Dedendum
c = Clearance
C = Center Distance
D = Pitch Diameter
D_G = Pitch Diameter of Gear
D_P = Pitch Diameter of Pinion
D_B = Base Circle Diameter
D_O = Outside Diameter
DR = Root Diameter
F = Face Width
h_k = Working Depth of Tooth
h_t = Whole Depth of Tooth
m_G = Gear Ratio
N = Number of Teeth
N_G = Number of Teeth in Gear
N_P = Number of Teeth in Pinion
p = Circular Pitch
P=Diametral Pitch

Worm Gear Design Calculation Pdf Viewer Download

Equations for Standards Spur Gears

To Find	Equation
Base Circle Pitch	D_B = D cosφ
Circular Pitch	p = ( π D )/ N p = π / P
Center Distance	C = N_p (m_G + 1) / 2P C = ( D_p + D_G ) / 2 C = ( N_G + N_p ) / 2P C = (N_G + N_p) p / 2P C = (N_G + N_p) p / 6.2832
Diametral Pitch	P = π / p P = N / D P = [ N_p ( m_G + 1) ] / 2C
Gear Ratio	m_G = N_G / N_p
Number of Teeth	N = P D N = ( π D ) / p
Outside Diameter (Full Depth Teeth)	D_O = ( N + 2 ) / P D_O = [ ( N + 2 ) p ] / π
Outside Diameter (American Standard Stub Teeth)	D_O = ( N + 1.6 ) / P D_O = [ ( N + 1.6 ) p ] / π
Outside Diameter	D_O = D + 2a
Pitch Diameter	D = N / P D = (N p ) / π
Root Diameter	D_R = D - 2b
Whole Depth	a + b
Working Depth	a_G + a_p

Worm Gear Design Calculation Pdf Viewer Free

Harmony engine evo vst v3.0.2.2 crack. 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	h_k = 0.6366 × p
Whole Depth (Preferred)	h_t = 0.7162 × p
(Shaved or Ground Teeth)	h_t = 0.7480 × p
Clearance (Preferred)^b	c = 0.0796 × p
(Shaved or Ground Teeth)	c = 0.1114 × p
Fillet Radius (Rack)^c	r_f = 0.0955 × p
Pitch Diameter	D = 0.3183 × Np
Outside Diameter	D_O = 0.3183 × (N + 2) p
Root Diameter (Preferred)	D_R = 0.3183 × (N − 2.5) p
Root Diameter (Shaved or Ground Teeth)	D_R = 0.3183 × (N − 2.7) p
Circular Thickness Basic	t = p / 2

Equations Tooth Parts, 20-and 25-degree Involute Full-depth Teeth ANSI Coarse Pitch Spur Gear Tooth Forms ANSI B6.1

Gear Calculation Formula Pdf

^a When gears are preshave cut on a gear shaper the dedendum will usually need to be increased to 1.40/P to allow for the higher fillet trochoid produced by the shaper cutter. This is of particular importance on gears of few teeth or if the gear blank configuration requires the use of a small diameter shaper cutter, in which case the dedendum may need to be increased to as much as 1.45/P. This should be avoided on highly loaded gears where the consequently reduced J factor will increase gear tooth stress excessively.
^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.

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

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

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Worm Gear Design Calculation Pdf Viewer Download

Worm Gear Design Calculation Pdf Viewer Free

Gear Calculation Formula Pdf

Helical Gear