(Solved):   A shaft is loaded in bending and torsion such that \( M_{2}=100 \mathrm{~N} \cdot \mathrm{ ...

 

A shaft is loaded in bending and torsion such that \( M_{2}=100 \mathrm{~N} \cdot \mathrm{m}, T_{2}=60 \mathrm{~N} \cdot \mathrm{m} \), \( M_{m}=60 \mathrm{~N} \cdot \mathrm{m} \), and \( T_{m}=35 \mathrm{~N} \cdot \mathrm{m} \). For the shaft, \( S_{u}=700 \mathrm{MPa} \) and \( \mathrm{S}_{y}=560 \mathrm{MPa} \), and a fully corrected endurance limit of \( S_{c}=210 \mathrm{MPa} \) is assumed. Let \( \mathrm{K}_{\mathrm{f}}=2.2 \) and \( \mathrm{K}_{f_{s}}=1.8 \). Design the shaft for minimum acceptable diameter with a design factor of 3 using (a) DE-Gerber criterion. \( \quad 29.6 \mathrm{mn} \) (b) DE-elliptic criterion. \( 32.6 \mathrm{man} \) (c) DE-Soderberg criterion. 34- wan (d) DE-Goodman criterion. 3 h. Find error percentage, compare the four theories and discuss the most. suitable theory for the given case. Question 2 (CLO-1) A bearing is to be chosen for a shaft which is made of SAE 2340 steel, heat-treated to obtain minimum strengths in the shoulder area of \( 1226-\mathrm{MPa} \) ultimate tensile strength and 1130-MPa yield strength with a Brinell hardness not less than 368 . At N.m, accompanied by a steady torsion of 100 reversed bending moment of 200 bearings for 2 million revolutions. If you desire a lisnsider SKF, which rates its with a load of 600 lbf with a reliability of 90 a life of \( 7000 \mathrm{~h} \) at \( 2500 \mathrm{rev} / \mathrm{min} \) would you search in an SKF catalog? 90 percent, for which catalog rating