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GATE 2022 AG – Question 54

Farm Machinery · Machine Design · 2 marks · Numerical answer

A flange has one10 mm diameter mild-steel pin in single shear, ultimate shear strength42 MPa. Pin axis is 100 mm from shaft axis; shaft runs300 rpm. Find maximum transmitted power before pin failure in kW, to two decimals. Use π=3.14.

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Correct answer: 10.20 to 10.50

Explanation

Failure shear force is $F=42\times10^6(3.14)(.01)^2/4=3297$ N. Torque=3297(.1)=329.7 N m. Angular speed=2(3.14)(300)/60=31.4 rad/s. Power=329.7(31.4)/1000=**10.35 kW**. A single shear plane supplies no factor of two.

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