GTU Mechanics of Solids Syllabus

GTU Mechanics of Solids Syllabus

 

MECHANICS OF SOLIDS
Description
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
force systems.
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,
load factor.
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.
9. Beam:
(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.

BOOKS :
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

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