1. Mechanics of Solids
By
M.Satyadev,
Assistant Professor, ME-RGUKT
Mechanics of Solids Course Description by Satyadev Manepalli is licensed under a Creative Commons Attribution 4.
International License.
2. Course Description:
• This course requires good understanding of fundamental concepts in Engineering
Mechanics.
• To understand the strength aspects and physical performance of the structures
• To understand the concepts of internal forces, deformations, stresses and strains, elasticity,
plasticity, strain energy, etc.,
• These concepts help us to design the structures as well as the Mechanical systems.
• It also helps to develop analytical techniques to solve the linear stress/strain problems
3. Course Objectives:
• To gain the understandings of the concepts of stress and strains, their relationships within the
linear elastic domain.
• To understand the applications of fundamental principles of equilibrium, method of sections,
force-deformations, principle of superposition in linear elastic zone to solve the problem like
bars, rods, beams, etc
4. Course Outcomes:
Upon completion of the course student should be able to:
• Analyze and design structural members subjected to tension, compression, torsion, bending and
combined stresses using the fundamental concepts of stress, strain and elastic behavior of
materials.
• Utilize appropriate materials in design considering engineering properties, sustainability, cost
and weight.
• Perform engineering work in accordance with ethical and economic constraints related to the
design of structures and machine parts.
5. Course Structure:
UNIT–I: Introduction: Simple Stresses & Strains : Elasticity and plasticity, types of stresses & strains, stress – strain diagram for ductile and
brittle materials, working stress, factor of safety, lateral strain, Poisson’s ratio, Generalized Hooke’s law, volumetric strain, Elastic moduli & the
relationship between them, Bars of varying section, composite bars, Temperature stresses, Strain energy, Resilience, toughness, gradual &
sudden, impact and shock loadings.
UNIT–II: Shear Force and Bending Moment: Definition of beam, types of beams, Concept of shear force and bending moment, S.F and B.M
diagrams for cantilever, simply supported and overhanging beams subjected to point loads, u.d.l., uniformly varying loads and combination of
these loads, point of contra flexure, Relation between S.F., B.M and rate of loading at a section of a beam, Integration technique to draw shear
force and bending moment diagram.
UNIT–III: Torsion of Circular Shafts: Theory of pure torsion, derivation of Torsion equations, assumptions made in the theory of pure
torsion, torsional moment of resistance, Polar section modulus, power transmitted by shafts, problems related to design of shafts.
Flexural Stresses and Shear Stresses: Flexural Stresses : Theory of simple bending, assumptions, derivation of bending equation, neutral
axis, determination bending stresses, section modulus of rectangular and circular sections (Solid and Hollow), I, T, Angle and Channel sections,
design of simple beam sections, composite beams. Shear Stresses: Derivation of formula, assumptions, Shear stress distribution across various
beams sections like rectangular, circular, triangular, I, T, angle & c-sections.
UNIT-IV: Principal Stresses and Strains: Introduction, stresses on an inclined section of a bar under axial loading, compound stresses,
Normal and tangential stresses on an inclined plane for biaxial stresses, Two perpendicular normal stresses accompanied by a state of simple
shear, Mohr’s circle of stresses, Principal stresses and strains, Analytical and graphical solutions, Strain gauges rectangular, delta connections.
UNIT–V: Combined Loading: Axial and torsion, axial and bending, axial, bending and torsion loading. Thin Cylinders: Thin seamless
cylindrical shells, derivation of formula for longitudinal and circumferential stresses: hoop, longitudinal and Volumetric strains, changes in
diameter and volume of thin cylinders, Thin spherical shells. Thick Cylinders: Lame’s equation, cylinders subjected to inside and outside
pressure, compound cylinders, thin disk problems.
UNIT–6: Beams Deflection: Bending into a circular arc, slope, deflection and radius of curvature, Double integration and Macaulay’s methods,
determination of slope and deflection for cantilever, simply supported & over hanging beams subjected to point loads, uniformly varying,
uniformly distributed load, Statically indeterminate beams. Moment area theorem I & II, application to simple cases including overhanging
beams, strain energy method. Columns and struts: Buckling and stability, column with pinned ends, column with other supports, effective
length, limitations of Euler’s formula, eccentric loading.
6. Delivery Format – Blended / Online:
• Blended mode of teaching and learning
8. Assessment:
• Six self assessment tests after completion of each module.
• Instructor Assessment
• Three Monthly test (40% weightage)
• End semester examinations (60% weightage)
9. Expected participation:
This is a fundamental courses for the following department
1. Mechanical Engineering department
2. Civil Engineering department
So we expect around 300 students from each institute.