21CV33 Strength of Materials syllabus for CV

Simple Stresses and Strains:

Introduction, Properties of Materials, Stress, Strain, Hook’s law, Poisson’s Ratio, Stress – Strain Diagram for structural steel, Principles of superposition, Total elongation of tapering bars of circular and rectangular cross sections. Composite section, Volumetric strain, expression for volumetric strain, Elastic constants, relationship among elastic constants (No Numerical), Thermal stress and strains

Compound stresses:

Introduction, Stress components on inclined planes, General twodimensional stress system, Principal planes and stresses, maximum shear stresses and their planes (shear planes). Compound stress using Mohr’s circle method.

Bending moment and shear force diagrams in beams:

Definition of shear force and bending moment, Sign convention, Relationship between loading, shear force and bending moment, Shear force and bending moment equations, development of Shear Force Diagram(SFD) and Bending Moment Diagram (BMD) with salient values for cantilever, simply supported and overhanging beams for point loads, UDL(Uniformly Distributed Load), UVL(Uniformly Varying Load) and Couple.

Bending stress in beams:

Introduction – Bending stress in beam, Pure bending, Assumptions in simple bending theory, derivation of Simple bending equation (Bernoulli’s equation), modulus of rupture, section modulus, Flexural rigidity, Problems

Shear stress in beams:

Derivation of Shear stress intensity equations, Derivation of Expressions of the shear stress intensity for rectangular, triangular and circular cross sections of the beams. Problems on calculation of the shear stress intensities at various critical levels of T, I and Hollow rectangular cross sections of the beam.

Torsion:

Twisting moment in shafts, simple torque theory, derivation of torsion equation, tensional rigidity, polar modulus, shear stress variation across solid circular and hollow circular sections, Problems

Thin cylinders:

Introduction: Longitudinal, circumferential (hoop) stress in thin cylinders. Expressions for longitudinal and circumferential stresses. Efficiency of longitudinal and circumferential joints. Problems on estimation of change in length, diameter and volume when the thin cylinder subjected to internal fluid pressure.

Thick cylinders:

Concept of Thick cylinders Lame’s equationsapplicable to thick cylinders with usual notations, calculation of longitudinal, circumferential and radial stresses – simple numerical examples. Sketching the variation of radial stress (pressure) and circumferential stress across the wall of thick cylinder. U

Elastic stability of columns:

Introduction – Short and long columns, Euler’s theory on columns, Effective length, slenderness ratio, radii of gyration, buckling load, Assumptions, derivations of Euler’s Buckling load for different boundary conditions, Limitations of Euler’s theory, Rankine’s formula and related problems.

Deflection of determinate Beams:

Introduction, Elastic curve –Derivation of differential equation of flexure, Sign convention, Slope and deflection using Macaulay’s method for statically determinate beams subjected to various vertical loads, moment, couple and their combinations. Numerical problems.

LABORATORY

1. Dimensionality of bricks, Water absorption, Initial rate of absorption

2. Specific gravity of coarse and fine aggregate

3. Fineness modulus of Fine and Coarse aggregate

4. Compressive strength tests on building blocks (brick, solid blocks and hollow blocks)

5. Tension test on Mild steel and HYSD bars

6. Compression test on HYSD, Cast iron

7. Bending Test on Wood under two-point loading.

8. Shear Test on Mild steel – single and double shear

9. Impact test on Mild Steel (Charpy& Izod)

Course outcome (Course Skill Set)

After completion of the course, students will be able to

1. Evaluate the behaviour when a solid material is subjected to various types of forces (namely Compressive, Tensile, Thermal, Shear, flexure, Torque, internal fluid pressure) and estimate stresses and corresponding strain developed. (L3)

2. Estimate the forces developed and draw schematic diagram for stresses, forces, moments for simple beams with different types of support and are subjected to various types of loads (L3).

3. Evaluate the behaviour when a solid material is subjected to Torque and internal fluid pressure and estimate stresses and corresponding strain developed. (L3)

4. Distinguish the behaviour of short and long column and calculate load at failure & explain the behaviour of spring to estimate deflection and stiffness (L3)

5. Examine and Evaluate the mechanical properties of various materials under different loading conditions

Assessment Details (both CIE and SEE)

• The weightage of Continuous Internal Evaluation (CIE) is 50% and for Semester End Exam (SEE) is 50%.
• The minimum passing mark for the CIE is 40% of the maximum marks (20 marks).
• A student shall be deemed to have satisfied the academic requirements and earned the credits allotted to each subject/ course if the student secures not less than 35% ( 18 Marks out of 50)in the semester-end examination(SEE), and a minimum of 40% (40 marks out of 100) in the sum total of the CIE (Continuous Internal Evaluation) and SEE (Semester End Examination) taken together

Continuous Internal Evaluation:

Three Unit Tests each of 20 Marks (duration 01 hour)

1. First test at the end of 5th week of the semester

2. Second test at the end of the 10th week of the semester

3. Third test at the end of the 15th week of the semester

Two assignments each of 10 Marks

4. First assignment at the end of 4th week of the semester

5. Second assignment at the end of 9th week of the semester

Group discussion/Seminar/quiz any one of three suitably planned to attain the COs and POs for 20 Marks (duration 01 hours)

6. At the end of the 13th week of the semester

The sum of three tests, two assignments, and quiz/seminar/group discussion will be out of 100 marks and will be scaled down to 50 marks (to have less stressed CIE, the portion of the syllabus should not be common /repeated for any of the methods of the CIE. Each method of CIE should have a different syllabus portion of the course).

CIE methods /question paper is designed to attain the different levels of Bloom’s taxonomy as per the outcome defined for the course.

Semester End Examination:

Theory SEE will be conducted by University as per the scheduled timetable, with common question papers for the subject (duration 03 hours)

1. The question paper will have ten questions. Each question is set for 20 marks.

2. There will be 2 questions from each module. Each of the two questions under a module (with a maximum of 3 sub-questions), should have a mix of topics under that module. The students have to answer 5 full questions, selecting one full question from each module.

Suggested Learning Resources:

Books

1.Timoshenko and Young, “Elements of Strength of Materials” ,EastWest Press, 5t edition 2003

2.R. Subramanyam, “Strength of Materials”, Oxford University Press, 3rd Edition -2016

3.B.C Punmia Ashok Jain, Arun Jain, “Strength of Materials”, Laxmi - 2018-22 Publications, 10th Edition-2018