Mechanics of Materials 1

Course Outline

Chapter 1
1.0 The Concept of Stress
1.1 Internal loading
1.2 The simple normal stress and strain in rods
1.3 The Tensile Test
1.4 The Hooke’s Law
1.5 The elongation of rods

Chapter 2
2.0 The shear stress
2.1 The simple shear stress and strain
2.2 The simple shear strain
2.3 The shear stress in pins
2.4 The factor of safety
2.5 The statically Indeterminate Case
2.6 The thermal stress

Chapter 3
3.0 Beams
3.1 Introduction to beams
3.2 The shear force – Bending moment diagrams
3.3 The contra-flexure point
3.4 The flexural formula
3.5 The parallel axis theorem

SEMESTER BREAK

Chapter 4
4.0 Shafts
4.1 Introduction to shafts
4.2 The torsional formula
4.3 The angle of twist
4.4 The shafts in the gearing system
4.5 The statically indeterminate case

Chapter 5
5.0 Beam – Transverse shear stress
5.1 Shear on the horizontal face of a beam element
5.2 Determination of the shearing stresses in a beam
5.3 Shearing stresses τxy in common types of beams

Chapter 6
6.0 Beam- Deflection
6.1 Deformation of a beam under transverse loading
6.2 Equation of the elastic curve
6.3 Direct determination of the elastic curve from the load distribution
6.4 Statically indeterminate beams
6.5 Singularity functions

Chapter 7
7.0 The Combined Stress
7.1 Introduction to thin cylinders
7.2 The hoop and longitudinal stresses
7.3 The principle of superposition
7.4 The structures with combined loading
7.5 Constructing stress element

REFERENCES

Main Text:
R.C.Hibbeler , “Mechanics of Materials”, Prentice Hall Itl., 2005.
Other References:
F. P. Beer & E .R. Johnston, “Mechanics of Materials”, McGraw Hill, 1992.

Assessment

TEST 1