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APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
07 THRISSUR CLUSTER

FIRST SEMESTER M.TECH. DEGREE EXAMINATION MARCH 2021
Civil Engineering
Structural Engineering

MATHEMATICAL METHODS IN STRUCTURAL

07 MA 6005 ENGINEERING

Time:3 hours Max. Marks: 60
Answer all six questions. Part ‘a’ of each question is compulsory.

Answer either part ‘b’ or part © of each question

Q.no. Module 1 Marks

18 Find the Extremals of the functional aes + y')y' dx 4

Answer b orc

b Find the Extremals of fi (1-1 3) ம, if y(=) = 19, y(1)=1 5
10
c Find the plane curve of fixed perimeter and Maximum area. 5
Q.no. Module 2 Marks
2௨ Explain the Principle of virtual work. 4

Answer b orc

b A Cantilever AB of length ‏ا‎ Suppose a concentrated load of P at the free end. 5
Determine the deflection and 50006 at the free end using energy principles
Assume uniform flexural rigidity.

c Discuss the concept of strain energy and complementary strain energy. 5

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