GATE PE case studies
GATE PE · Put your knowledge to work in context.
GATE 2025 (Graduate Aptitude Test in Engineering) is a national-level examination that primarily tests the comprehensive understanding of various undergraduate subjects in Engineering, Technology, Architecture, Science, Commerce, Arts and Humanities. It is organised by Indian Institute of Technology Roorkee, and conducted by IISc Bengaluru and seven IITs - Bombay, Delhi, Guwahati, Kanpur, Kharagpur, Madras and Roorkee - on behalf of the National Coordination Board (NCB), Department of Higher Education, Ministry of Education, Government of India. The GATE PE case studies are 5 cases and about 4,557 words.
1Turning EN8 shafts: minimum-cost speed versus a 60-hour delivery window
A job shop turns a batch of 500 EN8 steel shafts (Ø60 × 250 mm) on one CNC lathe. For the TiN-coated carbide insert the planner has fixed Taylor constants n = 0.25 and C = 300 with V in m/min and T in min.
913 words, about 5 min2Shrinkage porosity in a steel plate casting: riser modulus versus feed metal
A foundry casts a plain carbon steel plate 400 × 300 × 40 mm in a sand mould, one plate per mould, fed by a single cylindrical top riser of D = 70 mm and H = 70 mm. The moulding box limits any riser to 100 mm height.
952 words, about 5 min3Delayed HAZ cracking in a restrained 25 mm box-column weld
A fabricator is welding a 25 mm thick C-Mn steel box column with full-penetration single-V butt welds, 3.2 m long, heavily restrained because all four sides are welded in sequence. Plate chemistry (wt%): C 0.18, Mn 1.30, Si 0.30, Cr 0.08, Mo 0.02, V 0.01, Ni 0.05, Cu 0.10.
903 words, about 5 min4Reading an X-bar/R chart when the gauge itself eats 30% of the tolerance
A shaft OD has a specification of 25.000 ± 0.050 mm. The shop monitors it with an X-bar and R chart, subgroups of n = 5, limits frozen from 25 subgroups: grand mean 25.012 mm and mean range 0.024 mm.
838 words, about 4 min5Quantity-discount purchase decision when the cheap bracket carries a hidden defect rate
A pump assembler consumes 24 000 precision seal rings a year at a steady rate over 52 working weeks. Ordering cost is Rs 1 200 per purchase order and carrying cost is 18% of unit price per year.
951 words, about 5 min