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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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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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