Structure I
Course Objective:
To understand the internal effects of loads and actions, simple stresses and strains.
 Introduction(4 hours)
 Rigid bodies and deformable bodies
 Mechanics of materials  study of deformable bodies
 Basic definition of a structure
 Strength, stiffness and stability  fundamental characteristics
 Structural supports and support reactions
 Mechanical properties of materials
 Stress and strain(6 hours)
 Review of equilibrium and equations of equilibrium
 Method of section to analyse the internal effect of forces on a body
 Free body diagrams
 Notion of internal force and deformation
 Internal forces and deformations due to a general type of external load
 Notion of stress and strain
 4 cases of simple stresses and strains: Axial, Shear, Flexure and Torsion
 Force  Displacement relationship; Stress  Strain relationship
 Geometrical Properties of Section(6 hours)
 Centroid of an area
 Moment of area
 Moment of inertia about perpendicular axes
 Polar moment of inertia
 Parallel axis theorem
 Section modulus
 Radii of gyration of sections about perpendicular axes
 Section Modulus
 Moment of inertia of compound sections
 Axial Stress and strain(6 hours)
 Simple case of axial forces and deformations (struts, bars, rods)
 Magnitude and direction of axial forces (Compressive and Tensile)
 Magnitude and direction of axial deformation (Shortening and Elongation)
 Axial stress and axial strain (Normal to plane)
 Hooke's law for simple axial stress and strain, Modulus of Elasticity
 Stress  strain diagram
 Ultimate strength, factor of safety and working stress
 Lateral strain due to axial deformation, Poisson ratio
 Temperature stress and strain
 Hooke's law and elastic constants for cases other than simple axial case
 Review of relation between elastic constants
 Shear(2 hours)
 Simple case of pure shear (riveted joint, bolted joint)
 Magnitude and direction of shear force (Tangential)
 Magnitude and direction of shear deformation (shear angle and linear)
 Shear stress and shear strain (Tangential to plane)
 Hooke's law for shear stress and strain, Modulus of Rigidity
 Flexure (Pure Bending)(5 hours)
 Simple case of pure bending (beam without transverse shear force)
 Magnitude and direction of bending moment
 Magnitude and direction of flexural deformation (curvature and rotation)
 Elastic curve and neutral axis
 Bending stresses  theory of simple bending (Flexural formula)
 Design of homogeneous beam sections for flexure
 Torsion(2 hours)
 Simple case of pure twisting of circular shaft
 Magnitude and direction of twisting moment
 Magnitude and direction of torsional deformation
 Shear stress due to twisting moment
 Transverse Bending(8 hours)
 Pure, transverse, plane and oblique bending
 Review of beam reactions
 Magnitude and direction of Shear force and bending moment
 Sign convention of shear force and bending moment
 Relationship between rate of loading, shear force and bending moment
 Bending moment and shear force diagrams
 Deflection and angle of rotation
 Columns and Struts(6 hours)
 Support conditions of columns and struts
 Equivalent length and slenderness ratio
 Buckling and buckling load
 Euler's formula for pinended columns
 Euler's formula for columns with other end conditions
References:
 Mechanics of Materials, Beer & Johnston, McGrawHill Co
 Mechanics of Materials, Hibbler,
 Strength of Materials, Timoshenko & Gere,
Evaluation Scheme:
Chapters 
Hours 
Marks Distribution* 
1 
4 
8 
2 
6 
10 
3 
6 
12 
4 
6 
12 
5, 6, and 7 
9 
15 
8 
8 
15 
9 
6 
8 
Total 
44 
80 
*Note: There may be minor deviation in marks distribution.
