GATE ME 2018 Set 2 — Question 48
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Manufacturing Processes → Machining & Machine Tools → Orthogonal & Oblique Cutting
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Question
A bar is subjected to a combination of a steady load of 60 kN and a load fluctuating between kN and 90 kN. The corrected endurance limit of the bar is 150 MPa, the yield strength of the material is 480 MPa and the ultimate strength of the material is 600 MPa. The bar cross-section is square with side . If the factor of safety is 2, the value of (in mm), according to the modified Goodman's criterion, is ________ (correct to two decimal places).
Correct answer
31.6 to 31.65
Solution
Step 1: Mean and alternating loads.The fluctuating load varies from kN to kN, so its mean is kN and its amplitude is kN.Adding the steady load: kN, kN.Step 2: Stresses on the square section (mm). MPa, MPaStep 3: Modified Goodman criterion. mm(Check against yielding: MPa MPa, so Goodman governs.)Answer: mm
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