Structure I

Course Objective:
To understand the internal effects of loads and actions, simple stresses and strains.

1. Introduction(4 hours)
1. Rigid bodies and deformable bodies
2. Mechanics of materials - study of deformable bodies
3. Basic definition of a structure
4. Strength, stiffness and stability - fundamental characteristics
5. Structural supports and support reactions
6. Mechanical properties of materials


2. Stress and strain(6 hours)
1. Review of equilibrium and equations of equilibrium
2. Method of section to analyse the internal effect of forces on a body
3. Free body diagrams
4. Notion of internal force and deformation
5. Internal forces and deformations due to a general type of external load
6. Notion of stress and strain
7. 4 cases of simple stresses and strains: Axial, Shear, Flexure and Torsion
8. Force - Displacement relationship; Stress - Strain relationship


3. Geometrical Properties of Section(6 hours)
1. Centroid of an area
2. Moment of area
3. Moment of inertia about perpendicular axes
4. Polar moment of inertia
5. Parallel axis theorem
6. Section modulus
7. Radii of gyration of sections about perpendicular axes
8. Section Modulus
9. Moment of inertia of compound sections


4. Axial Stress and strain(6 hours)
1. Simple case of axial forces and deformations (struts, bars, rods)
2. Magnitude and direction of axial forces (Compressive and Tensile)
3. Magnitude and direction of axial deformation (Shortening and Elongation)
4. Axial stress and axial strain (Normal to plane)
5. Hooke's law for simple axial stress and strain, Modulus of Elasticity
6. Stress - strain diagram
7. Ultimate strength, factor of safety and working stress
8. Lateral strain due to axial deformation, Poisson ratio
9. Temperature stress and strain
10. Hooke's law and elastic constants for cases other than simple axial case
11. Review of relation between elastic constants


5. Shear(2 hours)
1. Simple case of pure shear (riveted joint, bolted joint)
2. Magnitude and direction of shear force (Tangential)
3. Magnitude and direction of shear deformation (shear angle and linear)
4. Shear stress and shear strain (Tangential to plane)
5. Hooke's law for shear stress and strain, Modulus of Rigidity


6. Flexure (Pure Bending)(5 hours)
1. Simple case of pure bending (beam without transverse shear force)
2. Magnitude and direction of bending moment
3. Magnitude and direction of flexural deformation (curvature and rotation)
4. Elastic curve and neutral axis
5. Bending stresses - theory of simple bending (Flexural formula)
6. Design of homogeneous beam sections for flexure


7. Torsion(2 hours)
1. Simple case of pure twisting of circular shaft
2. Magnitude and direction of twisting moment
3. Magnitude and direction of torsional deformation
4. Shear stress due to twisting moment


8. Transverse Bending(8 hours)
1. Pure, transverse, plane and oblique bending
2. Review of beam reactions
3. Magnitude and direction of Shear force and bending moment
4. Sign convention of shear force and bending moment
5. Relationship between rate of loading, shear force and bending moment
6. Bending moment and shear force diagrams
7. Deflection and angle of rotation


9. Columns and Struts(6 hours)
1. Support conditions of columns and struts
2. Equivalent length and slenderness ratio
3. Buckling and buckling load
4. Euler's formula for pin-ended columns
5. Euler's formula for columns with other end conditions

1. Mechanics of Materials, Beer & Johnston, McGraw-Hill Co
2. Mechanics of Materials, Hibbler,
3. Strength of Materials, Timoshenko & Gere,