Strength of Materials II

CE25401:

Strength of Materials II

Course Objective:

The course imparts knowledge on energy methods for deflection analysis, and equips students to analyse indeterminate beams, columns, and pressure vessels. It also develops understanding of three-dimensional stress, failure theories, and advanced bending in curved and unsymmetrical members.

Energy Methods, and Deflection Analysis: Strain energy (axial load, shear, flexure, torsion) - Castigliano’s theorems, Maxwell’s reciprocal theorem, principle of virtual work, unit load method - deflection of determinate beams, frames, and trusses.

Activity: Seminar on energy methods for deflection analysis.

Indeterminate Beams: Analysis of propped cantilever, fixed and continuous beams; fixed end moments, theorem of three moments, analysis of continuous beams, sinking of supports.

Activity: Quiz on analysis methods and bending moment diagrams.

Columns: Euler’s theory, Rankine-Gordon formula, eccentrically loaded columns; middle third rule.

Pressure Vessels: Thin and thick cylinders and spheres, compound thick cylinders, Shrinking on stresses.

Activity: Flipped classroom on column theories with problem-solving.

3D Stress, Failure Theories: Stress components, principal stresses, stress invariants, and failure theories.

Activity: Poster presentation on failure theories and stress states.

Advanced Bending, Curved Structures: Unsymmetrical bending, curved beams, Winkler-Bach theory, Stresses in links and hooks.

Activity: Model making to demonstrate bending and curved beam behavior.

Weightage: Continuous Assessment: 40%, End Semester Examinations: 60%

Methodology for Continuous Assessment: Quiz - 10%, Poster presentation - 15%; Seminar report – 10%; Model making – 15%; Internal Examinations – 50%

References

1. Rajput. R.K., Strength of Materials, Chand. S and Co, New Delhi, 2018.

2. Bansal. R.K., Strength of Materials, Laxmi Publications, New Delhi, 2024.

3. Punmia.B.C., Ashok Kumar Jain and Arun Kumar Jain, SMTS –I Strength of materials, Laxmi publications. New Delhi, 2025.

4. Basavarajiah and Mahadevapa, Strength of Materials, University press, Hyderabad, 2016

5. Bhavikatti, S. S. Strength of Materials, 5th Edition, Vikas Publishing House Pvt. Ltd., New Delhi, 2025.