B.E-B.E Civil Engineering Mechanics of Solids (Meenakshi University, Chennai-2011)
Monday, 19 August 2013 12:16Duraimani
(Established under section 3 of UGC Act,1956)
Course & Branch :B.E - P-CIVIL
Title of the Paper :Mechanics of Solids Max. Marks:80
Sub. Code :SCIX1009 (2010-2011) Time : 3 Hours
Date :10/11/2011 Session :AN
PART - A (10 x 2 = 20)
Answer ALL the Questions
1. Define the term principal planes and principal stresses.
2. Name the important theories of failure.
3. What are the assumptions in Euler’s column theory?
4. A solid round bar 3m long and 5cm in diameter is used as a strut with both end hinged. Determine the crippling (or) collapsing load. Take E = 2.0 * 10-5N/mm2.
5. What are the types of frames?
6. What are the assumptions made in the analysis of simple truss?
7. Define fixed beam and continuous beam.
8. A fixed beam of length 5cm carries a uniformly distributed load of 9 KN/m run over the entire span. If I = 4.5 * 10-4 m4 and E = 1 * 107KN/m2. Find the fixing moments at the end and the deflection at centre.
9. Define bending stress.
10. A rectangular beam 100mm wide and 250mm deep is subjected to a maximum shear force of 50 KN. Determine average shear stress.
PART – B (5 x 12 = 60)
Answer ALL the Questions
11. The stresses at a point in a bar are 20N/mm2 (tensile) and 100N/mm2 (compressive). Determine the resultant stress in magnitude and direction on a plane inclined at 60° the axis of the major stress. Also determine the maximum intensity of shear stresses in the material at the point.
(or)
12. An elemental cube is subjected to tensile stress of 30 N/mm2 and 10 M/mm2 acting in two mutually perpendicular planes and a shear stress of 10 N/mm2 on these planes. Draw the Mohr’s circle of stresses and hence or otherwise. Determine the magnitude and directions of principal stress and also the greatest shear stress.
13. A simply supported beam of length 4m is subjected to a uniformly distributed load of 30 KN/m over the whole span and deflects 15mm at the centre. Determine the crippling loads when this beam is used as a column with the following conditions.
(a) One end fixed and the other end hinged.
(b) Both the ends pin joined.
(or)
14. (a) What are the limitations of Euler’s Formula?
(b) A column of timber section 15 cm * 20 cm is 6 meter long both the ends being fixed. If the Young’s modulus for timber = 17.5 KN/mm2. Determine:
(i) Crippling load and
(ii) Safe load for the column if factor of safety = 3.
15. A truss of span 9 m is loaded. Find the reactions and forces in the member of the truss.
(or)
16. Determine the support reactions and magnitude of forces in the members of truss.
17. A fixed beam AB of length 3 m carries a point load of 45 KN at a distance of 2 m from A. If the flexural rigidity of the beam is 1*104KNm2, determine.
(a) Fixed and moments at A and B,
(b) Deflection under the load,
(c) Maximum deflection, and
(d) Position of maximum deflection.
(or)
18. A continuous beam ABCD of length 15 m rests on four supports covering 3 equal spans and carries a uniformly distributed load of 1.5 KM/m lengths. Calculate the moments and reactions at the supports. Draw the S.F. and B.M. diagrams.
19. An I-section beam 350mm*150mm has a web thickness of 10 mm and a flange thickness of 20 mm. If the shear force acting on the section is 40 KN. Find the maximum shear stress developed in the I-section.
(or)
20. The shear force acting on a beam at a section is F. The section of the beam is triangular base b and of an altitude h. The beam is placed with its base horizontal. Find the maximum shear stress and the shear stress at the N.A.
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