GTU Mechanics of Solids Syllabus
MECHANICS OF SOLIDS
1. Introduction: Scalar and Vector Quantities, composition and
resolution of vectors, system of units, definition of space, time,
particle, rigid body, force.
2. Fundamentals of Statics: Principles of statics, coplanar, concurrent
and non-concurrent, parallel and non-parallel forces, composition and
resolution of forces, moments & couples – their properties,
combination of coplanar couples and forces, equilibrant, equilibrium,
free body diagrams, analytical conditions of equilibrium for coplanar
3. Truss: Simple determinate plane trusses and analysis for member
forces using methods of joints and methods of sections.
4. Distributed forces, center of gravity and moment of inertia:
Center of gravity of lines, plane areas, volumes and bodies, Pappus
– Guldinus theorems, moment of inertia, polar moment of inertia &
radius of gyration of areas, parallel & perpendicular axes theorems.
5. Friction: Theory of friction, static and sliding friction, laws of friction,
angle and coefficient of friction, inclined plane friction, ladder friction,
wedges, belt and rope friction.
6. Simple Machines: Velocity ratio, mechanical advantage, efficiency,
reversibility of machines, simple machines such as levers, pulley and
pulley blocks, wheel and differential axle, Single purchase/double
purchase crab, compound screw jacks.
7. Physical & Mechanical properties of structural materials:
Properties related to axial, bending, and torsional & shear loading,
Toughness, hardness, proof stress, factor of safety, working stress,
8. Simple stresses & strains: Elastic, homogeneous, isotropic
materials; limits of elasticity and proportionality, yield limit, ultimate
strength, strain hardening, section of composite materials, prismatic
and non-prismatic sections.
Strains: Linear, shear, lateral, thermal and volumetric, Poisson’s ratio.
Stresses: Normal stresses, axial – tensile & compressive, shear and
complementary shear, thermal and hoop,. Applications to composite
material stepped & tapered bars.
(a) Types of loads, Types of supports, Types of beams, Support
reactions for statically determinate beams
(b) Bending moment and Shear force , Bending moment and shear
force diagrams for statically determinate beams subjected to couples, Gujarat Technological University B.E Sem I 8
concentrated forces, uniformly distributed loadings, relation between
bending moment, shear force and rate of loading, point of contraflexure.
10. Stresses in beams: Theory of simple bending, bending stresses and
their distribution, moment of resistance, modulus of sections,
distribution of shear stresses in different sections.
11. Principal stresses and strains: Compound stresses, analysis of
principal planes and principal stresses, principal strains, angle of
obliquity of resultant stress, principal stresses in beams.
1. Engineering Mechanics (Statics) Beer and Johnston
2. Applied Mechanics S. B. Junnarkar & H. J. Shah
3. Mechanics of Structure Vol. I S. B. Junnarkar & H. J. Shah
4. Mechanics of Materials Beer and Johnston