What is the modulus of materials What is modulus?

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The so-called modulus refers to the degree of polymerization of the material.

Detailed answers

The gear modulus is defined as a basic parameter of the modulus gear teeth, which is artificially abstracted to measure the number of gear teeth, is the ratio of the tooth pitch p to , because it is an irrational number, the diameter of the indexing circle d=zp, when the number of teeth z is an integer, d is an infinite cyclic decimal, when d is an integer, z is an uncertain number, in order to solve this problem, the ratio of p is artificially stipulated, and it is specified as a definite number. The modulus is the quotient m p obtained by dividing the tooth pitch p by pi, and the unit is mm.

Gear modulus is defined as a basic parameter of modulus gear teeth, which is artificially abstracted to measure the scale of gear teeth. The aim is to standardize the gear draft and reduce the cost. The modulus of spur, helical and bevel gears can be found in the standard module series.

Modulus Calculation Formula:

Modulus m = index circle diameter d number of teeth key z = tooth pitch p pi From the above formula, it can be seen that the basic parameters of the gear are the diameter of the circle and the number of teeth, and the modulus is only an artificially set parameter, which is a ratio, which is related to the thickness of the round teeth, so it can measure the size of the teeth, which is the historical product of the industrial branch process.

The formula for calculating the center distance of the gear:

For parallel gears, the center distance between the two meshing gears is:

1. Spur cylindrical gears.

A=(D1+D2) 2=(Z1+Z2)*MT 22, helical cylindrical gear.

a=(d1+d2)/2=(z1+z2)*mt/2=(z1+z2)*mn/2*cos

Note: In the above formula.

a--- Gear center distance.

d1--- the diameter of the indexing circle of gear 1.

d2 --- the diameter of the indexing circle of gear 2.

The number of teeth of z1 --- gear 1.

The number of teeth of z2 --- gear 2.

m --- modulus (two gears are equal).

MT --- end modulus (two gears are equal).

mn--- normal modulus (two gears are equal).

- Helix angle.

Modulus calculation formula: modulus m = index circle diameter late travel blind d number of teeth z = tooth pitch p pi .

The indexing circle of the gear is the benchmark for designing and calculating the dimensions of each part of the gear, and the circumference of the indexing circle of the gear is d=z p, so the diameter of the scoring circle is d=z p.

In some countries, different modulus uses the diameter joint as the basic parameter of the gear, with inches as the unit of measurement, the diameter section is expressed in p, and the yard space refers to the ratio of pi to the pitch, and the diameter section p = in units of 1 inch.

Detailed explanation:

Since it is an irrational number in the above equation, it is not convenient to use it as a reference for the fixed grinding position of the indexing circle. In order to facilitate calculation, manufacturing and inspection, the ratio p is artificially defined as some simple value, and this ratio is called the modulus, which is expressed in m, that is, its unit is mm. So I got to:

The modulus m is a basic parameter that determines the size of the gear. If the modulus of a gear with the same number of teeth is large, its size is also large. In order to facilitate manufacturing, inspection and interchangeable use, the modulus value of the gear has been standardized.

The above content refers to the Encyclopedia modulus.