No. of Printed Pages: 3 IBICE..OOSI
B.Tech. CIVIL ENGINEERING (BTCLEVI)
Term·End Examination

00603
December, 2016
BICE-008.: STRUCTURAL ANALYSIS
Time hours Maximum Marks: 70
Note: Attempt any seven questions. Assume missing if any. All questions carry equal marks. Use of scientific calculator is allowed.


1. Differentiate between shear strain and volumetric strain. 4

A hollow east-iron cylinder, 4 m long, 300 mm outer diameter and thickness of metal 50 mm, is subjected to a central load on the top when standing straight. The stress produced is 75000 kN/m^2. Assume Young's modulus for cast-iron as 1.5 x 10^8 kN/m^2 and find: 6
Magnitude of the load

(ii) Longitudinal strain produced.

(iii) Total decrease in length

2. A steel wire, 2.5 m long and 4 mm in diameter, is extended by 0.85 mm when a weight is suspended from the wire. If the same weight is suspended from a brass wire, 3 m long and 2.5 mm in diameter, it is elongated by 4.6 mm, Determine the modulus of elasticity of brass, if that of steel be 2 x 10^5 N/mm^2 . 10

3. Explain different classifications of beams depending upon the types of supports and draw the figure of each type of beam. 10

4. Draw the shear force and bending moment diagrams for the simply supported beam loaded with a concentrated force, P 100 kN and a concentrated moment, Mc 200 kNm as shown
in the figure below. 10 <img src='./qimages/8690-4.jpg'>

5. Write down the assumptions of Euler's theory for long columns. 4

A solid round bar, 60 mm in diameter and 2.5 m long, is used as a strut. One end of the strut is fixed, while its other end is hinged. Find the safe compressive load for this strut, using Euler's fOl'Plula. Assume E 200 GN/m^2 and factor of safety 3. 6

6. Derive Euler's formUla for the column with both ends hinged or pinned. 10

7. Explain the reasons of unsymmetrical bending in a beam. 3

Derive the total or resultant deflection, of a beam due to unsymmetrical bending. 7

8. Determine the dimensions of the joist of a timber for span 8 m to carry a brick wall, 200 nun thick and 5 m high, if the density of brick-work is 1850 kg/m^3 and the maximum permissible stress is limited to 7.5 MN/m^2. Given that the depth of the joist is twice the width. 10

9. An I-section beam, 340mm x 200 mm, has a web thickness of 10 mm and a flange thickness of 20 mm. It carries a shearing force of 100 kN. Sketch the shear stress distribution across the section. 10

10. Write short notes on the following: 10 Fatigue Modulus of Rupture Modulus of Elasticity Poisson's Ratio