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MACHINE DESIGN PAST BOARD EXAM PROBLEMS CHAPTER 5: KEYS FORMULAS (0:28 - 12:00) QUESTIONS: 1. A keyed sprocket delivers a torque of 778.8 N – m through the shaft of 54 mm OD. The key thickness is 1.585 cm and the width is 1.11 cm. Compute the length of key. The permissible stresses are 60 MPa for shear and 90 MPa for tension. (12:01 - 18:58) 2. A rectangular key was used in a pulley connected to a lineshaft with a power of 125 kW at a speed of 900 rpm. If the shearing stress of the shaft is 40 MPa and the key to be 22 MPa. Determine the length of the rectangular key if the width is ¼ that of the shaft diameter. (18:59 - 26:45) 3. A transmission shaft 60 mm in diameter is to be driven by a flat belt through a 800 – mm pulley. The tight side tension of the belt is 6,670 N and the slack side tension is 4,450 N. The length of the key is 150 mm. Using a standard 16 mm x 16 mm square key, find the shearing stress of the key. (26:46 - 34:27) 4. Determine the key length of square key for gear driven shaft to withstand a torque of 2891.4 N – m. The shaft diameter is 65 mm with design stress of 72.6 MPa in shear, the thickness and width of key is 5/8”. (34:28 - 39:42) 5. A Model 108 spline connection, 8 x 52 x 60 is used for gear and shaft. The number of teeth is 8, minor diameter is 52 mm and major diameter is 60 mm and rotating at 120 rpm with transmitted power of 20 kW and normal pressure of 6.5 MPa. (39:43 - 49:00) For our Facebook page, kindly click this link: / haysonbautista #LetUsLearn #LetUsReview