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Introduction to Strength of Materials

Introduction to Strength of Materials Simple Stresses and Strains Stress The Basic Stresses Types of Strains Linear and Lateral Strain for Circular Section Subjected to Tensile Stress Linear and Lateral Strain for Square Section Subjected to Tensile Stress Linear and Lateral Strain for Circular Section Subjected to Compressive Stress Linear and Lateral Strain for Square Section Subjected to Compressive Stress Poisson's ratio Hooke's Law Stress-Strain Diagrams Salient Features of Stress - Strain Curve Concept of Engineering Stress and True Stress Factor of Safety (FOS) Proof stress Mechanical Properties of Materials Ductile Vs Brittle Materials Elongation of Prismatic Bar Principle of Superposition Elongation of Uniformly Tapering Circular Bar Elongation of Uniformly Tapering Rectangular Bar Shear Modulus or Modulus of Rigidity Bulk Modulus K or Volume Modulus Generalized Hooke’s law Schematic Explanation of Generalized Hooke’s Law Volumetric Strain for a Rectangular Prismatic Bar Volumetric Strain of Cylinder Volumetric Strain for Sphere Complementary Shear Stress State of Simple Shear or Pure Shear

Relation between E and G Relation between E and K Relation between E, G and K Bar Subjected to Self Weight Problem 1: Stress-Strain Curve Problem 2:Stress-Strain curve Problem 3: Stress-strain curve Problem 4: Simple stress-strain Problem 5:Simple stress-strain Problem 6:Stress-Strain curve Problem 7:Simple stress-strain Axially Loaded Members Problems on Axially Loaded Bar Problem - 9:Vertical Axial Bar Problem 10: Horizontal Stepped Axial Bar Problem - 11: Axial Loaded Tapered Bar Problem - 12:Axial Loaded -Tapered Problem - 13-Find d Problem - 14-find extension: Problem -15:change in length Problem - 16:Force P Problem - 17:Elastic constants Problem - 18: Change in volume Problem - 19:Change in volume Problem - 20:Strains Problem - 21:Elastic constants Problem - 22: 3-Modulii Problem - 23:E-G-𝝁-K Problem - 24:Internal dia Problem - 25:Volume Change Problem - 26:Square bar- Elastic constants- volume change Problem - 27: Elastic constants Problem- 28:Change in volume Problem - 29: Ch. dimension_Tensile load Problem - 30:Rect. plate _stress_Change in dimension_Change in volume Problem - 31:Plate dimension_Stress_poissons ratio Problem - 32:E-𝝁 Problem - 33: Compound bar_Load P Problem 34: Derivation-Self weight_Stepped Bar

Introduction to Strength of Materials

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Introduction to Strength of Materials

Strength of Materials also known as Mechanics of Materials or Solid Mechanics or Mechanics of deformable bodies. In this subject we study the internal resisting forces developed inside the body which causes deformation in the body. By analyzing this deformation one can obtain the various unknowns such as strength (also known as stress ) strain, young's modulus and various other mechanical properties which will be discussed later. Here we study the load withstanding capacity of the body to the externally applied forces .The strength of the material is its ability to withstand applied load without failure.
In this subject we study the following topics which help the students to solve their semester exams and GATE problems.

Simple stresses , strains and Thermal stresses
Compound stresses or Principal Stresses
Theories of Failure
Thin and thick cylinders
Shear Force and Bending Moment diagrams
Stresses in beams
Slope and deflection of beams.
Torsion of circular shafts
Buckling of columns
Energy Methods

Study of the above topics helps the students to solve GATE problems. Mechanical GATE syllabus also shown here.
GATE ME Syllabus:
Mechanics of Materials: Stress and strain, elastic constants, Poisson's ratio; Mohr’s circle for plane stress and plane strain; thin cylinders; shear force and bending moment diagrams; bending and shear stresses; concept of shear center; deflection of beams; torsion of circular shafts; Euler’s theory of columns; energy methods; thermal stresses; strain gauges and rosettes; testing of materials with universal testing machine; testing of hardness and impact strength.

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