Mechanics of Materials (Diploma)

Stress and strain, elastic constants, shear force and bending moment, bending and shear stresses.

6 MonthsDuration 6Chapters28Topics

Syllabus · पाठ्यक्रम

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01Simple Stresses and Strains 5 topics
  1. Load, stress and strain: tensile, compressive, shear
  2. Hooke's law and modulus of elasticity
  3. Stress-strain curve of mild steel
  4. Deformation of bars and composite bars
  5. Thermal stresses
02Elastic Constants and Strain Energy 5 topics
  1. Lateral strain and Poisson's ratio
  2. Volumetric strain and bulk modulus
  3. Modulus of rigidity
  4. Relation E = 2G(1 + mu) = 3K(1 - 2mu)
  5. Strain energy under gradual, sudden and impact load
03Moment of Inertia 5 topics
  1. Centroid of plane areas
  2. Moment of inertia and radius of gyration
  3. Parallel and perpendicular axis theorems
  4. MI of rectangle, circle, triangle
  5. MI of I, T and channel sections
04Shear Force and Bending Moment 5 topics
  1. Types of beams, supports and loads
  2. Sign conventions
  3. SFD and BMD for cantilevers
  4. SFD and BMD for simply supported and overhanging beams
  5. Point of contraflexure
05Bending Stresses in Beams 4 topics
  1. Theory of simple bending and assumptions
  2. Bending equation M/I = f/y = E/R
  3. Neutral axis and section modulus
  4. Moment of resistance of sections
06Shear Stresses in Beams 4 topics
  1. Shear stress formula q = F A y / (I b)
  2. Distribution in rectangular and circular sections
  3. Distribution in I and T sections
  4. Maximum and average shear stress

About

You will be able to

  • Calculate direct stress, strain, elongation and thermal stress in bars
  • Relate the elastic constants E, G, K and Poisson's ratio
  • Find the centroid and moment of inertia of plane and built-up sections
  • Draw shear force and bending moment diagrams for cantilever and simply supported beams
  • Calculate bending and shear stresses in beams of common sections

Who it is for

  • Diploma Civil Engineering students of Semester 3 (BTEUP)
  • Students who need strong basics before Theory of Structures and RCC / Steel design

What you need

  • Applied Mechanics of Semester 1 / 2 (forces, moments, centroid)
  • Basic algebra and trigonometry

Questions

Which syllabus does this Mechanics of Materials course follow?

It follows the BTEUP diploma syllabus (Civil Engineering - Semester 3). If your polytechnic or university syllabus differs, the centre follows your own syllabus and unit order.

Will this help in the semester exam?

Yes. Each unit is taught with board-pattern questions, numericals where needed, and revision tests before the end-semester exam.

Are notes and tests provided?

Yes. Unit-wise short notes, an MCQ question bank and a final test paper are provided.

Download the syllabus (PDF)

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