CASE STUDY – Combined Loading

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CASE STUDY – Combined Loading Drill bit isolators for underground mining – all metal components and elastomer must be safe! Design requirement: 8,000 lb thrust load and 300 lb-ft (3,600 lb-in) torque – these are basically the cutting forces. Detailed FE analysis but ALWAYS verify with hand calculations!!

2010 SME Annual Meeting & Exhibit Bit Isolator Drill Depth up to 48” Chuck Isolator 2010 SME Annual Meeting & Exhibit Phoenix, Arizona

35 mm (1 3/8 in) Isolator Load Requirements: Drill Bit Drill Bit Isolator ( Thrust Load = 8,000 to 10,000 lb Bending Load= 125 lbs)= K*d Drill Rod Torsion Load= 300 lb-ft Chuck Isolator HOT SPOT! 2010 SME Annual Meeting & Exhibit Phoenix, Arizona

2010 SME Annual Meeting & Exhibit Results showed that in combination, the bit isolator and the drill chuck isolator provided a 7 dB(A) reduction in sound pressure level at the operator position. 2010 SME Annual Meeting & Exhibit Phoenix, Arizona

A-weighted Sound Level Spectrum 60 65 70 75 80 85 90 95 100 105 110 250 315 400 500 630 800 1000 1250 1600 2000 2500 3150 4000 5000 6300 8000 10000 Overall 1/3-Octave-Band Center Frequency (Hz) A-weighted Sound Level (dB) 108.9 dB(A) Baseline: 104.4 dB(A) T2 - 45 NR BISO, 45 NR CISO: 104.4 dB(A) T7 - 70 NR BISO, 70 NR CISO: 102.7 dB(A) T5 - 55 NR BISO, 55 NR CISO: 2010 SME Annual Meeting & Exhibit Phoenix, Arizona

2010 SME Annual Meeting & Exhibit 1 3/8” Drill Bit Isolator – Design Review: Drill Bit isolator: Chuck isolator: 2010 SME Annual Meeting & Exhibit Phoenix, Arizona 1 3/8" DBI, R. Michael, PE

Look at metal components: Where would you expect max stress to occur? Critical Area!! Look at metal components: Where would you expect max stress to occur? 5/31/2018 1 3/8" DBI, R. Michael, PE

Critical component – inner member, thin wall, stress concentration!

Results: FE Analysis 1 3/8” DBI All cases, thurst load = 8,000 lb, torque = 300 lb-ft (3,600 lb-in) HOT SPOT! 5/31/2018 1 3/8" DBI, R. Michael, PE

Max Principal, s1 Min Principal, s1

Max shear stress, tmax VERIFY FEA RESULTS WITH HAND CALCS!!!!

Verify Principal Stresses with Hand Calculations or Mohr’s Circle!! Thrust Load = 8,000 to 10,000 lb Torsion Load= 300 lb-ft HOT SPOT! y x

HAND CALCS: From Axial Load (Compression) From Torque

How do these values compare with FEA results? HAND CALCS Cont’d: Principal Stresses: =-11.95 +/- 35.8 ksi How do these values compare with FEA results? Next: use Mohr’s circle to resolve