[MOS] MECHANICS OF SOLIDS MODULE 5 AND 6 S3 KTU IMPORTANT QUESTIONS FOR KTU STUDENTS [SECOND YEAR] | QUESTION BANK


[MOS] MECHANICS OF SOLIDS  IMPORTANT QUESTIONS 

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MODULE 5 AND 6


26. Derive the expression for the deflection in open coiled helical spring due to an axial load w.



27. Compare the torsional strength of hollow shaft with that of a solid shaft of same material length and weight.


28. Derive the differential equation of deflection (elastic curve).

29. Explain moment area method for finding the deflection of beams.

30. Determine the maximum deflection and maximum slope of a cantilever of span L carrying a udl of intensity w per unit length over the entire span.

31. Discuss Macaulay’s method. Determine the maximum slope and deflection of the beam carrying an eccentric point load.

32. What are the assumptions in Euler’s theory

33. Differentiate between long column and short column.

34. What are the limitations of Euler’s theory for long columns.

35. What is equivalent length of a column of geometric length L whose one end is fixed and other end is hinged.

36. Derive the expression for safe load for a long column under eccentric loading by Rankine’s formula.

37. Define crippling load of columns. Write down the equation for crippling load of a column when both ends are hinged.

38. What is meant by slenderness ratio.

39. Rankine’s theory is applicable for all cases ranging from a strut to long column. Elucidate statement.

40. Define effective length. Give the effective length of columns for different end conditions.

41. Prove that an eccentric load causes a direct stresses as well as bending stress.

42. Find the expression for the maximum and minimum stresses when a rectangular column is subjected to a load which is eccentric to YY axis.

43. How will you find the maximum and minimum stresses at the base of a symmetrical column when it is subjected to load which is eccentric to both axis.

44. What you meant by middle third rule for rectangular sections.

45. What you meant by middle quarter rule for circular sections.

46. Prove that for no tension at the base of short column of rectangular section, the line of action of the load should be within the middle third.

47. Prove that for no tension at the base of short column of circular section, the line of action of the load should be within the middle quarter.

48. Draw a neat sketches of kernel of the following section a) rectangular 200 x 300 mm

b) hollow circular cylinder with external diameter =300mm,thickness =50 mm

c) square with 400 cm2 area

49. What is meant by Kernel of the section.

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