## TEACHING SCHEME FOR B.TECH “INDUSTRIAL & PRODUCTION ENGINEERING”

## IP-203 Strength of Materials [3 1 0 4]

Section A

Simple stresses and strains: Concept of stress and strain: St. Venants principle of stress and

strain diagram, Hooke’s law, Young’s modulus, Poisson ratio, stress at a point, stresses and strains

in bars subjected to axial loading, Modulus of elasticity, stress produced in compound bars

subjected to axial loading, Temperature stress and strain calculations due to applications of axial

loads and variation of temperature in single and compound walls.

Compound stresses and strains: Two dimensional system, stress at a point on a plane, principal

stresses and principal planes, Mohr’s circle of stress, ellipse of stress and their applications, Two

dimensional stress-strain system, principal strains and principal axis of strain, circle of strain and

ellipse of strain, Relationship between elastic constants.

Bending moment and shear force diagrams: Bending moment and shear force diagrams, S F

and B M definitions. BM and SF diagrams for cantilevers, Simply supported and fixed beams with or

without overhangs and calculation of maximum BM and SF and the point of contraflexure under

Concentrated loads, Uniformity distributed loads over the whole span or part of span, combination

of concentrated loads (two or three) and uniformly distributed loads, uniformly varying loads,

application of moments.

Section B

Theory of bending stresses: Assumptions in the simple bending theory, derivation of formula: its

application to beams of rectangular, circular and channel sections, composite/fletched beams,

bending and shear stresses in composite beams.

Torsion: Derivation of torsion equation and its assumptions. Applications of the equation of the

hollow and solid circular shafts, torsional rigidity, combined torsion and bending of circular shafts,

principal stress and maximum shear stresses under combined loading of bending and torsion,

analysis of close-coiled-helical springs.

Thin cylinders and spheres: Derivation of formulae and calculations of hoop stress longitudinal

stress in a cylinder, and sphere subjected to internal pressures increase in Diameter and volume.

Section C

Columns and struts: Columns under uni-axial load, Buckling of Columns, Slenderness ratio and

conditions. Derivations of Euler’s formula for elastic buckling load, equivalent length, Rankine

Gordon’s empirical formula.

Strain energy: Energy of dilation and distortion, resilience stress due to suddenly applied loads,

Castigliano’s theorem, Maxwell’s theorem of reciprocal deflection.

Theories of Failure: Maximum principal stress theory, maximum shear stress theory, maximum

strain energy theory, maximum shear strain energy theory, graphical representation and derivation

of equation for each and their application to problems relating to two dimensional stress systems

only.

Books Recommended

1. Pytel A H and Singer F L, “Strength of Materials”, 4th Edition, Harper Collins, New Delhi

(1987).

2. Beer P F and Johnston (Jr) E R, “Mechanics of Materials”, SI Version, Tata McGraw Hill,

India (2001).

3. Popov E P, “Engineering Mechanics of Solids”, SI Version 2nd Edition, Prentice Hall of

India, New Delhi (2003).

4. Timoshenko S P and Young D H, “Elements of Strength of Materials”, 5th Edition, East

West Press, New Dlehi (1984).

5. Jindal U C, “Introduction to Strength of Materials”, 3rd Edition, Galgotia Publishing Private

Limited New Delhi (2001).