The aim of the work is to improve the calculations of spur cylindrical wheels per bend, due to the fact that the existing formulas do not give the actual value of the maximum stress, and the diagram does not correspond to the real law of stress distribution. In order to obtain satisfactory results, it is more correct to calculate the teeth at the maximum local stress. Combining the coefficients and substantiating the calculated dependence to determine the value of the coefficient of the shape of the tooth under load, applied at any point of the working profile of the tooth, to obtain formulas for the bending strength of the teeth of the gear and wheel. When calculating the bending teeth, the calculation is based on the stresses arising at the base of the tooth, under the load applied at the top of the tooth. Consider first the most common calculation scheme. Dangerous section of the tooth as seen from the plot of total stresses indicates that the maximum normal stress occurs on the non-working side of the tooth - the compression side, however, since fatigue cracks occur at the base of the tooth on the stretching side, the calculation is based on tensile stress on the working side. The hypothesis of non-curvature of flat sections is unfair for short beams of variable cross section, so the total diagram does not correspond to the real law of stress distribution. But at the base of the tooth near the transition curve is the place of stress concentration. The actual dangerous cross-section lies below the cross-section of the depression, this is confirmed by the fact that the fatigue cracks form an angle with the load curve close to straight, and the fracture of the tooth has a convex shape. In this case, it is more correct to calculate the teeth at the maximum local stress. Combining the coefficients obtained a calculated dependence to determine the value of the coefficient of the shape of the tooth under load, applied at any point of the working profile of the tooth. As a result of the study it was found that the coefficient of tooth shape decreases with increasing number of teeth. This result was expected because as the number of teeth increases, the angle between the teeth decreases, and neighboring teeth perceive part of the stress that occurs in the loaded tooth. The formulas for checking the bending strength of gear teeth and wheels are obtained. The above refinement calculations of the teeth on the bend reflect the beneficial effect of improving the accuracy of the manufacture of teeth.

gears, prong, fracture, dangerous cross section, stress, bending, load, effort

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