## Design of Machine Elements 2 - Dec 2014

### Mechanical Engg. (Semester 6)

TOTAL MARKS: 100

TOTAL TIME: 3 HOURS
(1) Question 1 is compulsory.

(2) Attempt any **four** from the remaining questions.

(3) Assume data wherever required.

(4) Figures to the right indicate full marks.
**1 (a)** Determine the dimensions of I-section, shown in Fig. Q1 (a) in which maximum fibre stresses are numerically equal in pure bending, given b_{1}+b_{0}12mm.
(10 marks)
**1 (b)** A solid shaft of 125 mm diameter is to be pressed into a steel flange which has an outside diameter of 150 mm and length of 100 mm. Take E - 210 CPa, v - 0.3. Determine.

i) Pressure between hub and shaft.

ii) Proper size of bore, if maximum stress does not exceed 160MPa.

iii) Force required to press the parts together. Assume μ=0.1 for press fit.

iv) Torque capacity of press fit.(10 marks)
**2 (a)** Select a V-belt drive to transmit 18 kW at at 1500 RPM to another pulley to run at 750RPM. The diameter of smaller pulley is 100mm. The centre distance is 2 times the diameter of larger pulley.(10 marks)
**2 (b)** Select a number of wire ropes required to be used with a drum diameter of 3 meter. A load of 30 kN is to be lifted by 25 mm diameter 6× 7 ropes from a height of 450 meter. A velocity of 15 m/sec is to be attained in 10 second. Assume the skip weight to be 30% of load capacity and factor of safety of 6.(10 marks)
**3 (a)** A free end of a torsional spring deflects through 60° when subjected to a torque of 6N-m. The allowable stress in the spring material is 400MPa and the spring index is 6. Determine the wire diameter and the wire diameter and the number of effective turns . Take E =206.8× 10^{3} N/mm^{2}.(8 marks)
**3 (b)** A Belleville spring made from 5 mm thick steel sheet having outside diameter 150 mm and inside diameter 70 mm. The height of spring is 10mm. Using 7=0.3, E=20×10^{4} MPa. Find i) The deflection of spring ii) The load the spring can carry. iii) stress at the outer edge.

Limits the maximum stress at the inner edge to 450 Mpa.(12 marks)
**4 (a)** Design a pair of spur gear to transmit 40 kW at 4000 RPM of pinion to the gear 800 RPM. Select Chromium- Nickel steel for both gears. Assume pinion teeth as 20 and service factor as 1.5. Determine dynamic load wear load and recommend BHN values. Assume α-20° FDI(12 marks)
**4 (b)** A 24 teeth cast steel gear pinion (σ _{ 0}_{1}-51.7 Mpa) drives a high grade C.L gear having (σ _{0}_{1}-31 Mpa) 50 teeth. The teeth are 20° full depth involute in the normal plane. The helix angle is 45°. Normal module is 3mm. Find the safe power that can be transmitted by these gears at a pinion speed of 500 RPM. Assume face width is 10 times normal and scant lubrication C_{w}-1.25.(8 marks)
**5 (a)** Design a pair of mitre bevel gears to transmit 9 kW at 1200 RPM. The pitch line velocity of gear is not exceed 15m/sec(12 marks)
**5 (b)** A hardened steel worm at 1250 rpm transmits power to a phosphor bronze gear with a transmission ratio of 20 : 1. The centre distance is 200 mm. Determine the input power capacity. Assume α =14 1/2 FDI.(8 marks)
**6 (a)** Design a cone clutch to transmit 15 kW at 1200 RPM. Assume semi cone angle as 12.5°,co-efficient of friction for lining 0.4 and P=0.2 MPa.(8 marks)
**6 (b)** A single band brake shown fig Q6(b) is to be designed to stop the rotation of the shaft transmitting a power of 45kW at rated speed of 500 RPM. Selecting suitable materials determine:

i) Dimensions of rectangular cross section of band. ii) Dimensions of rectangular cross section of brake lever. (Assume h_{1}=2b). ii) Diameter of fulcrum pin.

assume 1_{0}-1.5 dp, bearing stress σ =10MPa.
(12 marks)
**7 (a)** A full journal bearing of length 100mm and the journal diameter of 80mm supports a load of 2.5 kN at 600RPM. What viscosity oil should be used to limit the bearing surface temperature to 60° C. The room temperature is 20°C and the clearance ratio is 0.001. use Mckee's equation.(8 marks)
**7 (b)** Determine the power loss for a Petroff bearing 100mm in diameter and 150 mm long. The radial clearance is 0.05 mm. Speed of the journal is 1000RPM. The lubrication oils is SAFIO and bearing operating temperature is 60°C.(12 marks)
**8 (a)** List and explain the functions of parts of internal combustion engine.(4 marks)
**8 (b)** Design a cast iron trunk type piston for four stroke internal combustion engine for the following data: Cylinder bore=150 mm, Stroke = 200 mm, Indicated mean effective pressure = 6 bar, Fuel consumption : 4 kg/hr, Maximum gas pressure = 5 Mpa,Higher calorific value of fuel = 41 00 KJ/kg, Speed of engine= 600 RPM, Mechanical efficiency-75%, allowable stress for piston=30 N/mm>sup>2. Allowable bending stress in piston pin-80MPa.(16 marks)