# Strength of Materials - I (Volume - I)

Product: Theory Subject
Categories: Engineering

#### Features Includes:

• 63 - 3D/2D Animation
• 320 Pages of Content
• 60 Lecture Hours
• 62 Solved Problems
• 90 Quiz
• Suitable for All Technical University Syllabus

#### Course Description

This learning solution provides the basic terms and principles of strength of materials. Detailed explanation for basic concepts like Stress, Strain, Compound stress,Cylinders and its types, shear force, bending moments, Complex stress and Plane truss are available. For appropriate topics along with definition and explanation formulas are derived and problems are also solved.

#### OBJECTIVES:

• To learn the fundamental concept of Stress and strain and deformation of solids
• To know the development of compound stresses
• To understand and analyse about shearforce and bending moment in beams
• To analyse and evaluate about the plane trusses
###### UNIT I – SIMPLE STRESSES AND STRAIN

Stress and strain – Introduction, Stress, Types of stress, Strain, Mechanical properties of material, Hooke’s law, Relationship between stress and strain in one dimensional, Relationship between stress and strain in two dimensional, Relationship between stress and strain in three dimensional, Analysis of bars of varying sections, Analysis of bars of composite sections, Principle of superposition, Analysis of uniformly tapering circular rod, Analysis of uniformly tapering rectangular bar, Elongation of a bar due to its own weight. Elastic constant - Volumetric strain, Volumetric strain of a rectangular bar subjected to three forces which are mutually perpendicular, Volumetric strain of a cylindrical rod, Modulus of elasticity, Bulk modulus, Relation between young’s modulus E and rigidity modulus C, Relation between young’s modulus E and bulk modulus K, Relation between young’s modulus E, rigidity modulus C and bulk modulus K. Problem. Stress strain diagram - Stress strain diagram for mild steel, Stress strain diagram for high strength steel, Stress strain diagram for concrete, Factor of safety, Problem. Thermal stresses - Problems. Strain energy - Strain energy stored in a body when the load is applied gradually, Strain energy stored in a body when the load is applied suddenly, Strain energy stored in a body when the load is applied with impact, Strain energy stored in a body when the load is applied with shock, Problems.

###### UNIT II – COMPOUND STRESSES AND CYLINDERS

Principal plane and stress – Introduction, Principal plane and stress, A member subjected to a direct stress in one plane, A member subjected to a direct stress in 2 mutually perpendicular directions, A member subjected to a direct stress in 2 mutually perpendicular directions by simple shear stress, Problems. Mohr's circle - A body subjected to 2 mutually perpendicular principal tensile stresses of unequal intensities, A body subjected to 2 mutually perpendicular principal tensile stresses which are unequal and unlike, A body subjected to 2 mutually perpendicular principal tensile stresses by a simple shear stress, Problems. Strain on an oblique plane due to stress - Strain on an oblique plane due to stress, Strain on an oblique plane due to shear stress, Strain on an oblique plane due to stress, Maximum or minimum value of strain on oblique plane, Mohr's strain circle. Thin cylinders – Introduction, Thin cylindrical shells, Circumferential or Hoop stresses, Longitudinal stresses, Maximum shear stress, Efficiency of joint, Effect of internal pressure on the dimensions of a thin cylindrical shell, Problems. Thick Cylinders – Introduction, Lame’s theory, Thick cylinders subjected to internal and external pressure, Shear stress, Problem.

###### UNIT III – SHEAR FORCE AND BENDING MOMENT

Introduction to beams, loads and supports - Introduction to Bending in beams, Types of supports, Types of beam based on support, Statically determinate and indeterminate structures, Types of loads. Shear force and bending moment - Relationship between bending moment and shear force. SFD and BMD for cantilever beam with point load at the free end, point load at a distance of a from fixed end, uniformly distributed load on whole span, UDL over a part of span from fixed end, uniformly varying load, Problems. SFD and BMD for simply supported beams with central point load, eccentric point load, UDL throughout the span, uniformly varying load, Problems. SFD and BMD for overhanging beam - Problems. SFD and BMD for a couple - Problems.

###### UNIT IV – COMPLEX STRESSES AND PLANE TRUSSES

Plane trusses – Introduction, Components of truss, Classification of truss, Problems. Analysis of truss - Assumptions made in analysis of truss, Method of joint, Method of section, Comparison between method of joint and sections. Method of joints - Steps for analysis of frame by method of joint, Problems. Method of section - Steps for analysis of frame by method of section, Problems.