![]() This in a safe value for shearing fiber stress in steel. The shearing modulus of elasticity of ordinary shaft steel runs from 10,000,000 to 13,000,000, giving as an average about 12,000,000.īy the well-known relation of "Hooke's law" (stresses proportional to strains within the elastic limit of the material), we have:Ī / 366 = SL / πGd or S = AπGd /360 L (46)Ī twist of one degree in a length of twenty diameters is a usual allowance. The equation worked out from mechanics for this condition, is: ao = 584 TL / Gd4, (45) which at once gives the number of degrees of angular deflection for a shaft whose modulus of elasticity, torsional moment, and length are known. 26, the angular deflection due to the load may be carried to a certain point before the limit of working fiber stress is exceeded. Can be used to provide quick initial checks.For a shaft subjected to pure torsion, as in Fig. To other methods but provides only approximate solutions The tables below provide a simple (numerical integration) method for calculating,with reasonable accuracy, the shear forces, moments, radial and angular deflections resulting from radial forces.Ī method of obtaining the forces, moments and deflectionsĪlong a stepped shaft subject to lateral forces i.e. These are used for calculations involving self weight of shaft and reflect the centre of gravity of the sections. The points 2,5,8,11, &14 are to be positioned at the centre of each length of constant diameter. Important Notes: Please only enter data in the identified coloured cells. Notes providing background for the calculations are provided on the above website. I have checked the calculations against high quality calculators and the deflections resulting are generally within 5%. ![]() The calculations have been checked against other souces including the reference text above. To calculate the bending moments, shear forces slopes and deflections in shafts subject to radial loads. ![]()
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