Mechanics of Materials

Week 1: Introduction to Mechanics of Materials and Moment of Inertia

• Overview of the course and its applications in engineering
• Definition and properties of moment of inertia (M.I.)
• Calculation of M.I. for plane lamina and standard geometrical sections

Week 2: Advanced Concepts in Moment of Inertia

• Parallel and perpendicular axes theorems (without derivations)
• M.I. for symmetrical and unsymmetrical sections (I-section, T-section, etc.)
• Polar moment of inertia for solid circular sections

Week 3: Basic Concepts of Stresses and Strains

• Stress, strain, elasticity, and Hooke's law
• Types of stresses: normal, bending, shear (tensile and compressive)
• Stress-strain curve and material properties (yield stress, proof stress, etc.)

Week 4: Deformation and Temperature Stresses

• Deformation under axial force and temperature stresses
• Longitudinal and lateral strains, Poisson's ratio
• Bulk modulus, modulus of rigidity, and their relationships (without derivations)

Week 5: Introduction to Shear Force and Bending Moment

• Types of supports, beams, and loads
• Concepts of shear force and bending moment with practical examples
• Relation between load, shear force, and bending moment (without derivations)

Week 6: Shear Force and Bending Moment Diagrams

• Construction of diagrams for cantilever and simply supported beams
• Analysis under point loads, uniformly distributed loads (UDL), and couples

Week 7: Theory of Bending and Flexural Stresses

• Theory of pure bending and assumptions in the flexural equation
• Bending stress distribution across cross-sections
• Moment of resistance and its importance in design

Week 8: Shear Stresses in Beams

• Shear stress equation and distribution for rectangular and circular cross-sections
• Shear stress distribution in other sections: T-section, I-section, and hollow sections
• Numerical problems on bending and shear stresses

Week 9: Columns and Compression Members

• Concepts of compression members, short and long columns, slenderness ratio
• Effective length and types of end conditions
• Buckling and failure mechanisms in axially loaded columns

Week 10: Euler’s Theory and Rankine’s Formula

• Euler’s theory for buckling load and its limitations
• Rankine's formula for crippling load and its applications
• Safe load, working load, and factor of safety considerations

Week 11: Problem Solving and Case Studies

• Numerical problems covering all topics in the course
• Real-world applications and case studies in structural engineering

Week 12: Review and Assessment

• Comprehensive review of all topics covered
• Discussions on practical implications in engineering projects
• Final assessment and feedback session

1. Bedi D.S. , Strength of Materials, Khanna Publishing House, Delhi, Ed. 2018

2. Timoshenko, S., Strength of Materials, Vol. I, CBS, New Delhi.

3. Khurmi, R.S., Strength of Materials, S Chand and Co. Ltd. New Delhi.

4. Ramamurtham, S, Strength of Materials, Dhanpat Rai and sons, New Delhi.

5. Punmia B C, Strength of Materials, Laxmi Publications (p) Ltd. New Delhi.

6. Rattan S.S., Strength of Materials, McGraw Hill Education; New Delhi.

7. Bansal R K, Strength of Materials, Laxmi Publications.

"The SWAYAM Course Enrolment and learning is free. However, to obtain a certificate, the learner must register and take the proctored exam in person at one of the designated exam centres. The registration URL will be announced by NTA once the registration form becomes available. To receive the certification, you need to complete the online registration form and pay the examination fee. Additional details, including any updates, will be provided upon the publication of the exam registration form. For more information about the exam locations and the terms associated with completing the form, please refer to the form itself."

Grading Policy:

- Internal Assignment Score: This accounts for 30% of the final grade and is calculated based on the average of the best three assignments out of all the assignments given in the course.

- Final Proctored Exam Score: This makes up 70% of the final grade and is derived from the proctored exam score out of 100.

- Final Score: The final score is the sum of the average assignment score and the exam score.

Eligibility for Certification:

- To qualify for a certificate, you must achieve an average assignment score of at least 10 out of 30, and an exam score of at least 30 out of 70. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >=40/100.

Certificate Details:

- The certificate will include your name, photograph, roll number, and the percentage score from the final exam. It will also feature the logos of the Ministry of Education, SWAYAM, and NITTTR.

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