MEEG202

MEEG 202

Strength of Materials

3 Cr.

Course Objectives:

The Strength of Materials course equips mechanical engineering students with the fundamental knowledge and techniques necessary for designing safe and efficient mechanical systems. This course will focus on strength of materials principles and techniques for use in mechanical engineering design and problem solving. Mechanical engineering designs are increasingly complex and require a range of solid mechanic skills. Throughout the course, students will learn about the relationship between forces and deformations in solid materials, as well as the methods for analyzing stresses, strains, and failure modes in complex structures. The course covers a range of topics, including stress-strain diagrams, elasticity, Hookes law, Poisson's ratio and different nature of loads. Additionally, students will learn how to predict material failure under steady load, determine stresses and deflections due to different loading, and analyze stresses in different engineering components. The course also covers bending of beams, torsion of shafts, combined bending and torsion, and buckling of column. By the end of the course, students will have gained the skills and knowledge necessary to make informed design decisions and solve a variety of engineering problems.

Course Plan (minimum 45 hrs) (23 lectures of 2hrs)

For this course, total of two lectures (each of two hours) are allocated over the semester period. As this is theory course, all the lecture will be classroom based which includes theoretical classes and tutorial classes to understand and implement the course content. Please refer to subsequent section Course Syllabus for detail course contents. Two internal exams will be taken as per department schedule based on the lectured course content.

There is a separate course for laboratory works that includes 1/3 part of the laboratory work associated with this course which will be handled and evaluated separately.

Course Evaluation

This course is 75 – 25 theoretical evaluation course. The evaluation breakdown of this course is as below:

Final Examination: 75 Marks

● Objective: 20 Marks

● Subjective: 55 Marks

Internal Evaluation: 25 Marks

● Internal Exams: 20 Marks

● Assignment/Attendance: 5 Marks

Course Syllabus

Definitation of Stress and Strain

Stress-strain diagrams. Elasticity. Modulus of elasticity. Hookes law. Poissonss ratio. Pure shear force. Stresses due to temperature. Strain energy due to normal stresses and shear stress. Principles of superposition.

Stresses on an Inclined Plane

Stress transformation. Plane stress condition. Construction and application of Mohr’s circle. Principal stresses and planes.

Failure Theories

Maximum principal stress theory. Maximum shear stress theory. Maximum principal strain theory. Maximum strain energy theory. Maximum distortion energy theory.

Simple Bending and Beam Bending

Review of beam, centroid, moment of areas. Pure Bending. Bending stresses and shear stresses in Beams. Bending Equation. Shear force and Bending moment diagrams.

Deflection of Beams

Equation of elastic curve of beam. Relationship between deflection and bending moment. Deflection of statically determinate beams by Double integration method, Mecaulay’s method and Moment area method.

Torsion of Shafts

Pure torsion. Relation between torque and angle of twist. Polar moment of area. Combined bending and torsion.

Buckling of Column

Eulers formula. Effective length of column. Slenderness ratio.

Reference Books

[1] Ferdinand P. Beer, E. Russell Johnston, John T. DeWolf, David F. Mazurek, ‘Mechanics of Materials’ McGraw Hill Publications.

[2] R. S. Khurmi, ‘Strength of Materials’ S. Chand and Company.

[3] Ferdinand L. Singer & Andrew Pytel, ‘Strength of materials’, Harper & Row Pb.

[4] I.H. Shames: Introduction to solid mechanics, Prentice Hall

[5] 2. E.P. Popov: Mechanics of materials (SI version), PHI