Strength of Materials

CE25C08:

Strength of Materials

Course Objective:

This course provides a foundational understanding of stress, strain, and deformation in solids, while developing analytical skills to evaluate internal forces, deflections, and torsional behaviour in structural members, springs, and pin-jointed plane trusses.

Simple Stresses and Strains

Stress–strain concepts, Hooke’s law, elastic constants, stress–strain behavior of materials, axial deformation.

Practical:

1. Tension Test on Mild Steel / HYSD Steel

2. Determination of Elastic Constants (E, G, ν) using bar / torsion tests.

3. Hardness testing of metals using: – Brinell hardness test and Rockwell hardness test

Shear Force and Bending Moment: Beam types - loads (point load, UDL, UVL, effects of applied moments (concentrated and distributed) - SFD and BMD for cantilever, simply supported, and overhanging beams.

Activity: Review of Competitive Exam questions on SFD and BMD

Shear Force and Bending Moment: Beam types - loads (point load, UDL, UVL, effects of applied moments (concentrated and distributed) - SFD and BMD for cantilever, simply supported, and overhanging beams.

Bending and Shear Stresses: Bending theory, bending equation, stress distribution in beams and sections.

Practical:

4. Determination of ultimate shear stress of a mild steel rod by conducting a double shear test.

5. Determination of Young’s modulus of a beam with rectangular cross section (metal and wooden specimens) by conducting deflection tests.

Deflection Analysis of Beams

Elastic curve and beam deflection, governing differential equation for beam deflection, double integration method, Macaulay’s method, moment area method, conjugate beam method, application of these methods to compute slope and deflection of statically determinate beams.

Activity: Seminar on a beam deflection method

Torsion, Springs, and Trusses: Torsion equation and assumptions, analysis of solid and hollow circular shafts, torsional rigidity, combined torsion and bending, shafts in series and parallel; helical springs (open and closed-coiled); analysis of determinate and indeterminate pin-jointed plane trusses using method of joints, sections, and tension coefficient method.

Practical:

6. Open and Closed Coiled Helical Springs – Determine stiffness and deflection under load.

Tasks:

1. Plot SFD and BMD for different beam configurations using MS-EXCEL or equivalent open-source simulation tools.

2. Conduct/compile results from key lab tests (tension, torsion, beam deflection, spring test) and interpret material properties and structural behavior.

3. Design a simple structural/mechanical system (e.g., shaft, spring, or truss) considering strength, stiffness, and safety, and justify the design with calculations.

Weightage: Continuous Assessment: 50%, End Semester Examinations: 50%

Methodology for Continuous Assessment: Quiz (5%), Project (15%), Assignment

Programs (25%), Practical (25%), Internal Examinations (30%)

References

1. Rajput. R. K., Strength of Materials, S. Chand and Co, New Delhi, 2025.

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, 2018.

4. Timoshenko S.P. and Gere.J.M, Mechanics of Materials, Van Nos Reinbhold, New Delhi 2018.

5. Singh. D.K., Strength of Materials, Ane Books Pvt. Ltd., New Delhi, 2021.

6. Kazimi S.M.A, Solid Mechanics, Tata McGraw-Hill Publishing Co., New Delhi, 2017.

7. IS 1608 (Part 1):2022: Metallic Materials – Tensile Testing – Method of Test at Room Temperature.

8. IS 1586 (Part 1):2018: Metallic Materials – Rockwell Hardness Test – Test Method. (2012 version is superseded by 2018. )