Strength of Materials I

CE25301:

Strength of Materials I

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, v) using bar / torsion tests.

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

Complex Stress Conditions and Mohr's Circle: Uniaxial, biaxial, and triaxial states of stress, thermal stresses in axially loaded composite bars, stresses on inclined planes, principal stresses and planes, Mohr’s circle.

Activity: Prepare a poster explaining construction of Mohr’s circle

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 related to SFD and BMD

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.

Deflection of Beams: Double integration method - Macaulay’s method - Area moment method - Conjugate beam method for computation of slopes and deflections of determinant beams.

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

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 pin-jointed plane trusses using method of joints, sections.

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, 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.Ramamrutham S and Narayanan R, Strength of Materials, New Revised and Enlarged Edition, Dhanpat Rai Publishing Company Pvt. Ltd., New Delhi, 2025.

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.

9. IS 1717:2012: Metallic Materials – Brinell Hardness Test – Method of Test.