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EG 2502

Course Co-ordinator: Dr O Menshykov

Pre-requisite(s): EG 1009, EG 1502

Co-requisite(s): None

Stress Analysis

1. Review of definitions of normal and shear stress and strain; complementary nature of shear stresses; two-
dimensional stress; shear and normal stress on oblique planes; principal stress; elastic stress-strain
relation: Young?s modulus, Poisson?s ratio, and shear modulus; extensional stiffness; thermal strains and
stresses. (3 lectures)

2. Membrane stresses: Thin-walled circular cylindrical and spherical vessels subject to internal pressure. (1 lecture)

3. Torsion and torsional shear stresses in solid and hollow circular sections. Polar second moment of area,
angle of twist. Torsional stiffness. Transmission of power by circular shafts. Combined torsion and direct stress. (2 lectures)

Mechanical Behaviour of Solids

4. Significance of defects and stress concentration in engineering design; origin of notches, defects and cracks:
sharp corners, surface roughness, joining defects, porosity, inclusion of foreign objects; stress concentration
factor. (1 lecture)

5. Introduction to brittle fracture: Strain energy, surface energy and theoretical strength of solids; fracture toughness
parameter, Kc and its applications. (2 lectures)

6. Enhancement of fracture toughness, strength and stiffness: reinforced concrete, toughened glass, composites -
upper and lower bound estimates of modulus; cellular foams. (2 lectures)

7. Introduction to fatigue: description of fatigue, its occurrence, S-N curves and design implications. (1 lecture)

8. Non-destructive evaluation (NDE) of structures: Ultrasonic methods, magnetic particle inspection, dye penetrant,
radiography, acoustic method; introduction to strain gauges. (2 lectures)

Structural Analysis

9. Theory of elastic bending of beams, distribution of bending stress and strain. Radius of curvature, second
moments of area, parallel axis theorem, section modulus. (3 lectures)

10. Deflection of beams using integration method; bending stiffness. (3 lectures)

11. Combined bending and direct stresses. Middle third rule. (2 lectures)

12. Buckling of ideal columns. Concept of effective length. (2 lectures)

13. Virtual work. Deflections of trusses. (3 lectures)

14. Shear stress distributions for rectangular and I-sections beams. (1 lecture)

Design Applications

15. Selection of material and shape for strength and stiffness limited designs; application of CES software. (2 lectures)

27 hours lecture, 6 hours tutorial, 6 hours practicals.

1st Attempt: 1 three hour written examination (80%); continuous assessment (20%).

Resit:1 three hour written examination (100%).