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PSNA COLLEGE OF ENGINEERING & TECHNOLOGY, DINDIGUL-624
622
DEPARTMENT OF MECHANICAL ENGINEERING
Centralized Serial Test-ISubject Name OPERATIONS RESEARCH Year
& Section IV & B
Subject Code MG-1001 Semester VIII
Faculty Name Mr.G.Balaji Maximum Marks 50
Date Time
PART-A (9x2=18Marks)
Answer any Nine Questions.
1. What do you mean by degeneracy in a T.P?
2. What do you mean by an unbalanced T.P?
3. Explain how the profit maximization transportation problem
can be converted to an equivalent cost
minimization transportation problem
4. List the objective of the travelling salesman problem
5. What do you mean by an unbalanced assignment problem?
6. How do you convert the unbalanced T.P into a balanced
one?
7. How do you convert the maximization assignment problem into a
minimization one?
8. Give any two assumptions made while dealing with sequencing
problem.
9. Consider the general assignment model with n workers and m
jobs. In this model, what are the
sources and destinations? What are the values of the supply
amount at each source and the demand
amount at each destination?
10. State the condition for Johnsons algorithm to hold for
sequencing n jobs through three machines
PART-B (2x16=32Marks)
11. (a). A firm manufacturing a single product has three plants
I, II and III. They have produced 60,
35 and 40 units respectively during this month. This firm has
made a commitment to sell
22 units to customer A, 45 units to customer B, 20 units to
customer C, 18 units to customer D and 30
units to customer E. Find the minimum possible transportation
from three plants to the five customers
is given below.
A B C D EI 4 1 3 4 4
II 2 3 2 2 3
III 3 5 2 4 4
(OR)
(b). A head of department in a college has a problem of
assigning courses to teachers with a view to
maximizing educational quality in his department. He has
available to him four lecturers. Four courses
must be offered and after appropriate evaluation, he has arrived
at the following relative ratings
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(100=best rating) regarding the ability of each lecturer to
teach each of the four courses. How should
he assign his staff to the courses to realize his objective?
Course-I Course-II Course-III Course-IV
Lecturer-I 60 40 60 70
Lecturer-II 20 60 50 70
Lecturer-III 20 30 40 60
Lecturer-IV 30 10 20 40
12. A manufacturing company processes six different jobs on two
machines X and Y. Number of units
of each job and its processing times on X and Y are given below.
Find the optimum sequence, the total
minimum elapsed time and idle time for each machine.
Job Units of each job
Processing time
Machine X
(minutes)
Machine Y
(minutes)
1 3 5 82 4 16 7
3 2 6 11
4 5 3 5
5 2 9 7.5
6 3 6 14
Staff In- Charge HoD/Mechanical Engineering
PSNA COLLEGE OF ENGINEERING & TECHNOLOGY, DINDIGUL-624
622
DEPARTMENT OF MECHANICAL ENGINEERING
Centralized Serial Test-ISubject Name STRENGTH OF MATERIALS Year
& Section II & C
Subject Code Semester IV
Faculty Name Mr.G.Balaji Maximum Marks 50
Date Time
PART-A (9x2=18Marks)
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Answer any Nine Questions.
1. State Hookes Law
2. What are elastic constants?
3. Define Poissons ratio
4. Distinguish between rigid and deformable bodies
5. State the different types of supports
6. A steel cube of 100 mm side is subjected to a force of 10kN
(Tension), 8kN (compression) and
5kN (Tension) along X, Y and Z direction respectively. Determine
the change in volume of the block.
7. Define thermal stress.
8. What are the types of beams?
9. Define shear force and bending moment.
10. State the principle of superposition
PART-B (2x16=32Marks)
11. (a). A Simply supported beam of length 6m carries a UDL of
20KN/m throughout its
length and a point of 30 KN at 2m from the right support. Draw
the shear force and bending moment
diagram. Also find the position and magnitude of maximum Bending
moment
(OR)
(b). A cantilever of 2m length carries a point load of 20KN at
0.8 m from the fixed end &another point
of 5 KN at the free end. In addition, a UDL of 15 KN/m is spread
over the entire length of the
cantilever. Draw the S.F.D, and B.M.D.
12. A mild steel rod of 20mm diameter and 300mm long is enclosed
centrally inside a hollow upper
tube of external diameter 30mm and internal diameter of 25 mm.
The ends of the tube on rods are
brazed together rand the composite bar is subjected to an axial
pull of 40KN. If E for steel and copper
is 200GN/m2 and 100GN/m2 respectively, find the stresses
developed in the rod and the tube. Also find
the extension of the rod.
Staff In- Charge HoD/Mechanical Engineering
