Time Allowed: 3 Hours Maximum Marks: 300

SECTION A
Answer any three of the folloWing
A 15 mm diameter shaft rotates in long fixed bearings 60 cm apart A rotor of mass 20 kg is mounted at the lll1d span. The mass centre of the rotor 1S 0 5 mm 110m the shaft axiS. If the bending stress 1n the shaft iS not to exceed 120 MPa, find the range of speed over which the shaft must not run. Take modulus of elasticity for the shaft material as 200

round member is subjected to a direct tenSile load 0f 20kNanda shear10adof12kN The yield stress 1n tensiOn is 25kN/cm' and POisson's ratio is 0 3 Determine the diameter of the member, using a factor 0 f safety according to Maximum principal stress theory Mffil1ffium shear stress theory Maximum distortion energy theory.

A flat belt drive iS to transmit 110 kW at a belt speed of 25 WS between two pulleys of diameter 250 mm and 400 mm. The centre distance between the pulleys lS 1 m The permissible stress in the beltlS 8.5 Thickness to WIdth ratio of the beltls 0.1 and the density of the belt matenallS 1100 kgim3 The coefficient of friction between the belt and pulleys is 0 3. Determine the minimum reqUired belt WIdth. What would be the necessary installation force between the pulley bearings and the force when 1111 power lS being transmitted?

Give composition and appl1cation 0f folloWIng setell(ii) Phosphor Bronze Muntz Metal alnico
A press has to punch 30 holes per minute and the motor delivers 15 kW to the press uniformly. If the actual punching of each hole is accomplished dunng 300 of crank rotation of the punching machine and the fluctuation of speed iS not to exceed ±10% determine the minimum moment of inertia of the flywheel which is directly mounted on the crankshaft Neglect the intertia 0f the rest 0f the system
Fig. i shows a planetary gear train that has two inputs omega2 and w2 Sun gear 2 rotates at 500 r.p.m. and the arm 6 rotates at750 rp.m both clockwise as VIewed from left Determine the speed and direction of rotation of the output gear 5
<img src='./qimages/1114-2b.jpg'>
3.(a)At a point in a material under stress, the mtenSity of the resultant stress on a certain plane is 50 (tensile) inclined at 30 0 to the normal of that plane. (Refer fig. The stress on a plane at night angles to this plane has a normal tensile component of intensity of 30MN/m' Find The resultant stress on the second plane The principal planes and stresses Maximum shear stress and the plane on which it occurs <img src='./qimages/1114-3a.jpg'>
A Simply supported beam of length carries a concentrated load at a distance from one and from the other Find the pOSition and magnitude of the maximum deflection and show that the position is always With in L/13 approXlmate1 y from the centre of the beam
State Gibbs phase rule and lever rule isomorphous system (ii Pertiectic reaction in steel
Explain: Strain Aging EutectOid steel Dead Mild steel
What iS TIT diagram for steel? How is it 11sed ln deSlgll1ng heat treatment cycle for steels?
Differentiate among pearlite, ferrite, martensite and a11stenite

SEcTION B
Answer any THREE of the following
List the criterion for tool life eval11ation for HSS or ceramlC tool and sintered carbide tool Show the variables used in figures

A turning tool with sharp comer and amaJor rutting edge angle of 60° is to be 11sed at a feed of 0.05 mm What minor cutting edge angle should be proVided to obtain an arithmetical mean s11rface r011ghness of 3 is 11nder ideal condition?

What iS value analySiS and is what way it is different from conventional cost red11ction techmq11es? How can the val11e b e is creased? Discuss a val11e analySiS programme, step by step, for improving a prod11ct ViZ "BALL POINT PEN" Can this technique be applied to serVlce activities?
Differentiate between method study and motion analySis How are they used is Job deSlgn? The elemental times (in mm11tes) for4 cycles of an operation 11smg a time measuring device are presented below Calculate standard I1me for the operation, if Elements 2 and 4 are machine dependent For other elements, the operator is rated at 110% Total allowances are 15% 0f the normal time
<img src='./qimages/1114-5d.jpg'>

For small feeds, the apparent shear strength of a material in creases With decreases is 11nperfonned chip thickness. Why?
The relation between shear angle, friction angle and rake angle derived 11smg Merchant's theory are not m q11antities agreement with experimental relationship State the reasons

During turning process with -30 mm tool the unreformed chip thickness of 0.2 mm and WIdth of cut of 2 5 mm were used. The Side rake angle of the to 01 was a choosen that the machining operation could be approXImated to be orthogonal cutting The tangential cutting force and thrust force were 1177 N and 560 N respectively Calculate The Side rake angle CoeffiCIent of friction at the rake face The dyn3lll1c shear strength of the work material
A hole and shaft have a baSic Size of 30 mm and are to have a clearance fit with maXimum clearance of 0.04 mm and minimum clearance of 0.02 mm The whole tolerance is to be 15 times the shaft clearance. Determine limits for both hole and shaft using aholebasiS system a shaft baSiS system
Sun Ray Transport Corporation (SRTC) ships truck loads of gram from 3 godowns to 4 mills The supply (in truck loads) and the demand (also is truck loads) together with the unit transpiration cost per truck load on different routes are giVen is the adj01rung table Cost of transportation is given in the north-eastern corner 100'sofrupees <img src='./qimages/1114-7b.jpg'> What is north-west comer rule? How do you check for degeneracy? (iii)DeSign the quantity to be transported from each godowns to different mills with the objective of cost minimization of transporting Develop this using Vogel's approximation (or penalty rating) method How do you check for optimality of the solution?
What do you understand by inspection of attributes and inspection 0f variables? In which case the sample Size (for the same confidence level) is more and why? Weight of pineapple cans with fruit and JUice is measured is kg from a continuous production run. EverY day a sample of 4 cans are picked up at random and weighed. The data so collected are giVen in the folloWIng table Plot the X and R charts with their control limits What is your observation of behaVior? What suggestions you WIsh to make for a proper control of the process?
WEIGHT OF CAN WITH FRUIT AND JUICE.kg
dAY 1 2 3 4
Day-1 1.20 1.24 1,25 1.25
Day-2 1,24 1.28 1,28 1.14
day-3 1 10 1.20 12/3 1.26
day-4 1.18 0.96 1.18 1.16

Constant A for control limits of 0.729
B for controll1mits of R 2.282
A plants manufactures two products A and uSIng three input labour, material R and material S To make one unit of product it requires 6 kg of R and 7.5 kg of and 9 person-hours of labour. To make one urgent of B it reqUires 12 kg of Rand 4.5 kg of Sand 6 person-hours of labour. The demands for the products are such that the plant can sell as much of each of the product as it can produce. It earns a profit 0f Rs. 30 per urgent of A and RsA 0 per unit of B. However only 900 kg of Rand 675 kg of Sand 1200 person-hours of labour are available each day Formulate the plant's strategy as a linear program to maximize the profit
Indicate the feasible reg! on is a graphical representation of the problem
Solve the problem graphically by finding the optimum operating point What iS the maximum profit?