- Helix angle
In

mechanical engineering , a**helix angle**is the angle between any helix and an axial line on its right, circular cylinder or cone. [*ANSI/AGMA. ANSI/AGMA Standards 1012-G05 Gear Nomenclature, Definitions of Terms with Symbols. American Gear Manufacturers Association, 2005.*] Denoted in engineering textbooks as either an α, λ, or ψ, the helix angle plays a critical role in engineering applications where mechanical transfers of power are involved. The more common applications of helix angles, which include screws, helical gears, and worm gears, are discussed below.The helix angle references the axis of the cylinder, distinguishing it from the lead angle, which references a line perpendicular to the axis. Naturally, the helix angle is the geometric complement of the lead angle. Calculations of helix angle usually employs the degree unit (°), as opposed to radians, to facilitate visualization.

**Concept**In terms specific to screws, the helix angle can be found by unraveling the helix from the screw, representing the section as a right triangle, and calculating the angle that is formed. Note that while the terminology directly refers to screws, these concepts are analogous to most mechanical applications of the helix angle.

The diagram below shows how one can obtain a helix angle value from a representation triangle:The helix angle can be expressed as:

: $mbox\{Helix\; angle\}\; =\; arctan\; left(\; frac\{c\}\{p\}\; ight)$where:

**"c**" is the circumference of the screw at the pitch diameter.:**"p**" is the pitch of the of the screw, which is the axial distance from a point on a thread to a corresponding point on an adjacent thread, and**Engineering Applications**The helix angle is crucial in mechanical engineering applications that involve power transfer and

motion conversion. Some examples are outlined below, though its use is much more widely spread.**crew**Cutting a single helical groove into a screw-stock cylinder yields what is called single-thread screw. Similarly, one may construct a double-thread screw provided that the helix angle is steeper, and a second thread is cut in the space between the grooves of the first. For certain applications, triple and quadruple threads are in use. [

*Norton, Robert L. Machine Design: An Integrated Approach. 3rd ed. Upper Saddle River, NJ: Pearson Prentice Hall, 2006.*] The helix may be cut either right hand or left hand. In screws especially, the helix angle is essential for calculatingtorque in power screw applications.**Helical Gear**In helical and worm gears, the helix angle denotes the standard pitch circle unless otherwise specified. [

*ANSI/AGMA. ANSI/AGMA Standards 1012-G05 Gear Nomenclature, Definitions of Terms with Symbols. American Gear Manufacturers Association, 2005.*] Application of the helix angle typically employs a magnitude ranging from 15° to 30° for helical gears, with 45° capping the safe operation limit. The angle itself may be cut with either a right-hand or left-hand orientation. [*Shigley, Joseph E., and Larry D. Mitchell. Mechanical Engineering Design. 4th ed. New York: McGraw-Hill, Inc, 1983.*] In its typical parallel arrangement, meshing helical gears requires that the helix angles are of the same magnitude and cut oppositely.**Worm Gear**Worm gears resemble helical gear seats, the difference being that the shafts of a worm train are aligned perpendicularly. In this case, the helix angle of the worm meshes with the lead angle of the worm gear. [

*Spotts, M F., and T E. Shoup. Design of Machine Elements. 7th ed. Upper Saddle River, NJ: Prentice Hall, 1998.*]**References**

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**helix angle**— spiralės kampas statusas T sritis fizika atitikmenys: angl. helix angle vok. Steigungswinkel der Schraubenlinie, m rus. угол винтовой линии, m; угол спирали, m pranc. angle de l’hélice, m … Fizikos terminų žodynas**helix angle**— noun the constant angle at which a helix cuts the elements of a cylinder or cone • Hypernyms: ↑angle * * * noun : the constant angle between the tangent to a helix and a generator of the cylinder upon which the helix lies … Useful english dictionary**helix angle**— The angle between the relative airflow and the plane of rotation of a propeller. Also known as an angle of advance … Aviation dictionary**effective helix angle**— An angle of helix described by the point of a propeller blade in flight through still air measured relative to earth. A helix angle is the angle between the relative airflow and the plane of rotation of a propeller. See helix angle … Aviation dictionary**Helix**— This article is about the shape. For other uses, see Helix (disambiguation). The helix (cos t, sin t, t) from t = 0 to 4π with arrowheads showing direction of increasing t … Wikipedia**angle of advance**— The angle between the relative airflow and the plane of rotation of a propeller. Also known as a helix angle … Aviation dictionary**angle de l’hélice**— spiralės kampas statusas T sritis fizika atitikmenys: angl. helix angle vok. Steigungswinkel der Schraubenlinie, m rus. угол винтовой линии, m; угол спирали, m pranc. angle de l’hélice, m … Fizikos terminų žodynas**helix**— [hē′liks] n. pl. helixes or helices [hel′i sēz΄] [L, kind of ivy, spiral < Gr, a spiral < helissein, to turn around < IE base * wel , to turn, twist > WALK] 1. any spiral, as one lying in a single plane or, esp., one moving around a… … English World dictionary**Helix Nebula**— For the different but similarly named nebula, see Double Helix Nebula. Eye of God redirects here. For other uses, see Eye of God (disambiguation). Helix Nebula Infrared image of the Helix Nebula, taken by the Spitzer space telescope, 2007 … Wikipedia**helix**— 1. [NA] The margin of the auricle; a folded rim of cartilage forming the upper part of the anterior, the superior, and the greater part of the posterior edges of the auricle. 2. A line in the shape of a coil (or a spring, or the threads on a bo … Medical dictionary