Strength of Materials

B.Tech / Diploma engineering students
Competitive exam aspirants (GATE, SSC JE, RRB JE)

🔹 Section 1: Introduction to Strength of Materials

What is Strength of Materials?

Types of Loads and Deformations

Stress and Strain

Types of Stresses (Normal, Shear, Bearing)

Stress–Strain Curve (Mild Steel & Brittle Materials)

Elastic Constants (E, G, K, Poisson’s Ratio)

Relation between Elastic Constants

Numerical Problems

🔹 Section 2: Simple Stresses and Strains

Deformation of Uniform Bar

Bars of Varying Cross Section

Composite Bars

Temperature Stresses

Impact Stress

Strain Energy

Numerical Problems

🔹 Section 3: Shear Force and Bending Moment

Types of Beams

Load Types (Point Load, UDL, UVL)

Shear Force Concept

Bending Moment Concept

SFD & BMD for:

Cantilever Beam

Simply Supported Beam

Overhanging Beam

Relationship between Load, S.F and B.M

Numerical Problems (University + JE level)

🔹 Section 4: Bending Stress in Beams

Assumptions in Bending Theory

Bending Equation

Neutral Axis & Neutral Layer

Section Modulus

Flitched Beams

Unsymmetrical Bending

Numerical Problems

🔹 Section 5: Shear Stress in Beams

Shear Stress Distribution

Rectangular Section

Circular Section

I-section and T-section

Numerical Problems

🔹 Section 6: Torsion of Circular Shafts

Torsion Equation

Solid Shaft

Hollow Shaft

Power Transmission

Composite Shafts

Comparison: Solid vs Hollow Shaft

Numerical Problems (GATE & JE)

🔹 Section 7: Deflection of Beams

Differential Equation of Elastic Curve

Double Integration Method

Macaulay’s Method

Moment Area Method

Standard Deflection Formulas

Numerical Problems

🔹 Section 8: Columns and Struts

Euler’s Theory

End Conditions

Effective Length

Slenderness Ratio

Rankine’s Formula

Limitations of Euler Theory

Numerical Problems

🔹 Section 9: Competitive Exam Practice Section

GATE Previous Year Questions

SSC JE Previous Questions

RRB JE Questions

State AE/JE Questions

Mixed Practice Tests