Mechanics of materials also known as strength of materials is the branch of solid mechanics /continuum mechanics, which deals with the study/behaviour of deformable bodies. Mechanics of materials is fundamental subject in mechanical/civil engineering and has also specific application in many other areas such as in health care/medical to understand the anatomy of living beings, dental prostheses and surgical implants. This basic study will be helpful for advance topics of solid mechanics such theory of elasticity, theory of plasticity, fatigue and fracture mechanics which deals with the initiation and propagation of cracks in solid materials. Thus, attending this course mechanical and civil engineers will gain theoretical knowledge of mechanics of materials and solve solid/structural problems adopting appropriate theory and formulas while solving solid/structural mechanics problems.

- Gain fundamental knowledge of mechanics of deformable solids including stress, strain, stress – strain relations, theories of failure and energy methods.
- To know the different types of stresses and strains developed in the member subjected to axial, bending, shear, torsion and thermal loads.
- To understand the concepts of calculation of forces and moments in solid/structure for different loading and boundary conditions.
- To expose the students to the concepts of strain energy, work done and then determining the stresses, strains, in axial bars, beams, columns, struts and shafts.
- Examine the properties of deformable bodies and apply the basic concepts and theoretical laws and derived formulas in solving solid/structural mechanics problem.
- To know behaviour and properties of engineering materials.
- To understand the stresses developed in bars, compounds bars, beams, shafts, and cylinders.

7 Lessons80h

Introduction, Properties of materials, Stress, Strain and Hooke’s law, Stress strain diagramfor brittle and ductile materials, True stress and strain, Calculation of stresses in straight, Stepped and tapered sections, Composite sections, Stresses due to temperature change, Shear stress and strain, Lateral strain and Poisson’s ratio, Elastic constants and relations between them.

: Introduction to three dimensional state of stress, Stresses on inclined planes,Principal stresses and maximum shear stress, Principal angles, Shear stresses on principal planes, Maximum shear tress, Mohr circle for plane stress conditions.
Cylinders: Thin cylinder: Hoop’s stress, maximum shear stress, circumferential and longitudinal strains, Thickcylinders: Lames equations.

Type of beams, Loads and reactions, Relationship between loads, shear forces and bending moments, Shear force and bending moments of cantilever beams, Pin support and roller supported beams subjected to concentrated loads, uniformly distributed constant / varying loads. Stress in Beams: Bending and shear stress distribution in rectangular, I and T section beams.

Circular solid and hallow shafts, Torsional moment of resistance, Power transmission of straight andstepped shafts, Twist in shaft sections, Thin tubular sections, Thin walled sections.

:- Introduction, The Maximum Normal Stress Theory, The Maximum Normal Strain Theory, The Maximum Shear Stress Theory, The Strain Energy Theories The Distortion Energy Theory, The Internal Friction Theory

: Buckling and stability, Critical load, Columns with pinned ends, Columns with other supportconditions, Effective length of columns,Secant formula for columns.
Strain Energy: Strain energy due to axial, shear, bending, torsion and impact load. Castigliano’s theorem I andII and their applications.

Benchmark and Industrial Application Problems using ANSYS/ABAQUS

53 Courses

2 students