Scheme & Syllabus Copy of Strength of Materials 2022 Scheme notes
Strength of Materials 2022 Scheme BCV301 notes
Module 1: Simple Stresses and Strains
- Introduction to Simple Stresses and Strains
- Properties of Materials
- Stress, Strain, and Hooke's Law
- Poisson’s Ratio
- Stress-Strain Diagram for Structural Steel
- Principles of Superposition
- Total Elongation of Tapering Bars (Circular and Rectangular Cross Sections)
- Composite Sections
- Volumetric Strain and its Expression
- Elastic Constants and Relationship Among Them
- Thermal Stresses and Strains
- Compound Bars Subjected to Thermal Stresses
- State of Simple Shear
Learning Levels: L1, L2, L3
Module 2: Bending Moment and Shear Force Diagrams in Beams
- Introduction to Types of Beams, Supports, and Loadings
- Definition of Shear Force and Bending Moment
- Sign Conventions for Shear Force and Bending Moment
- Relationship Between Loading, Shear Force, and Bending Moment
- Shear Force and Bending Moment Equations
- Development of Shear Force Diagram (SFD) and Bending Moment Diagram (BMD)
- Salient Values for Cantilever, Simply Supported, and Overhanging Beams
- Analysis for Point Loads, Uniformly Distributed Load (UDL), Uniformly Varying Load (UVL), Couple, and Their Combinations
Module 3: Bending and Shear Stresses in Beams
- Introduction to Pure Bending Theory
- Assumptions for Pure Bending
- Derivation of Bending Equation
- Modulus of Rupture, Section Modulus, and Flexural Rigidity
- Expression for Transverse Shear Stress in Beams
- Bending and Shear Stress Distribution Diagrams for Circular, Rectangular, ‘I’, and ‘T’ Sections
Torsion in Circular Shaft
- Introduction to Pure Torsion
- Assumptions for Torsion
- Derivation of Torsion Equation for Circular Shafts
- Torsional Rigidity and Polar Modulus
- Power Transmitted by a Shaft
Module 4: Deflection of Beams and Columns
Deflection of Beams
- Definition of Slope, Deflection, and Curvature
- Sign Conventions for Slope and Deflection
- Derivation of Moment-Curvature Equation
- Double Integration Method and Macaulay’s Method
- Calculation of Slope and Deflection for Standard Loading Cases
- Determinate Prismatic Beams Subjected to Point Loads, UDL, UVL, and Couples
Columns and Struts
- Introduction to Short and Long Columns
- Euler’s Theory and its Assumptions
- Derivation for Euler’s Buckling Load for Different End Conditions
- Limitations of Euler’s Theory
- Rankine-Gordon’s Formula for Columns
Module 5: Compound Stresses and Cylinders
Compound Stresses
- Introduction to the State of Stress at a Point
- General Two-Dimensional Stress System
- Principal Stresses and Principal Planes
- Mohr’s Circle of Stresses
Thin and Thick Cylinders
- Introduction to Thin Cylinders Subjected to Internal Pressure
- Hoop Stress, Longitudinal Stress, and Change in Volume
- Thick Cylinders Subjected to Both Internal and External Pressure
- Lame’s Equation and Radial/Hoop Stress Distribution
