Strength of Materials - I (Volume - II)

Product: Theory Subject
Categories: Engineering

Features Includes:

  • 66 - 3D/2D Animation
  • 360 Pages of Content
  • 60 Lecture Hours
  • 81 Solved Problems
  • 106 Quiz
  • Suitable for All Technical University Syllabus

Course Description

This learning solution deals with the study of concepts like deflection of beam, bending theory, columns and struts, torsion in shafts and different theories of failure. Problems with solution are also available for appropriate topics.

OBJECTIVES:

  • To understand the concept of analysis of failures and deflection occur in beam
  • To learn about the bending theories and columns
  • To understand the effect of torsion on shaft and springs
  • To know about the theories of failure
UNIT I – DEFLECTION OF BEAM

Deflection of beam – Deflection and slope of a beam subjected to uniform bending moment, Relation between slope, deflection and radius of curvature. Double integration method - Deflection of a simply supported beam carrying a point load at the centre, Deflection of a simply supported beam with an eccentric point load, Deflection of a simply supported beam with a uniformly distributed load, Deflection of a simply supported beam with a uniformly varying load, Deflection of cantilever with a point load at the free end, Deflection of a cantilever with a point load at a distance 'a' from the fixed end, Deflection of a cantilever with a uniformly distributed load, Deflection of a cantilever with a uniformly distributed load for a distance 'a' from the fixed end, Deflection of a cantilever with a uniformly distributed load for a distance 'a' from the free end, Deflection of a cantilever with a uniformly varying load, Problems. Macaulay's method - Deflection of a simply supported beam with an eccentric point load, Deflection of a simply supported beam with a uniformly varying load, Problems. Moment area method - Derivation for slope and deflection by using moment area method, Slope and deflection of a simply supported beam carrying a point load at the centre by Mohr's theorem, Slope and deflection of a simply supported beam carrying a uniformly distributed load by Mohr's theorem, Problems. Conjugate beam method - Conjugate theorem, Problems.

UNIT II – THEORY OF BENDING AND COLUMNS

Theory of simple bending – Bending stress, Pure bending, Moment of resistance, Modulus of rupture, Flexural rigidity, Derivation of bending equation, Bending stress in symmetrical and unsymmetrical section. Section modulus - Section modulus for square section, Rectangular section, Circular section, Triangular section, Other symmetrical and unsymmetrical sections. Problems on section modulus. Problems based on bending equation. Design of simple beam – Problems. Shear stress distribution - Shear stress distribution in rectangular section, circular section, I section, triangular section, T section. Problems on shear stress distribution. Composite or flitched beam - Bending stress in flitched beam, Problems. Shear centre - Determination of shear centre for channel section and I section, Problem. Columns and struts - Classification of column, Failure of column, Equivalent length, Euler's theory, Assumptions in Euler's theory, Euler's theory for column with both ends hinged, with one end fixed and another end free, with one end fixed and other end hinged, Limitations of Euler's theory, Problems.

UNIT III – TORSION

Shafts – Torsion, Torsion in shafts. Design of shafts - Assumptions for torsional equation, Torsional equation for solid circular shafts, Torsion in hollow circular shaft, Torsional rigidity and modulus of rupture, Power transmission, Problem, Comparison of hollow shaft and solid shaft. Composite shafts - Shaft connected in series, Shafts in parallel, Problems, Combined bending and torsion. Springs - Commonly used spring materials, Classifications of springs. Closed coiled helical springs with axial load and axial twist – Problems. Open coiled helical springs - Stress in circular wire of open coiled spring, Problem, Terms used in helical springs, Rectangular and square cross section wire springs. Springs in series and parallel – Problem. Buffer springs – Problem.

UNIT IV – THEORIES OF FAILURE

Theories of failure – Various theories of failure, Maximum principal stress theory (Rankine's theory), Maximum principal strain theory (St.Venant's theory), Maximum shear stress theory (Tresca's theory), Maximum strain energy theory (Beltrami and Haigh's theory), Maximum shear strain energy theory (Von mises theory). Problems based on Theories of failure