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Introduction to Solid Mechanics (B.Tech)

Stress and strain, bending and shear stresses, torsion, deflection of beams and columns.

6 MonthsDuration 5Chapters26Topics
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Syllabus · पाठ्यक्रम

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01Unit 1: Simple Stresses and Strains 6 topics
  1. Stress, strain and Hooke's law
  2. Stress-strain curve of mild steel
  3. Elastic constants and their relations
  4. Bars of varying section and compound bars
  5. Thermal stresses
  6. Strain energy and impact loading
02Unit 2: Compound Stresses 5 topics
  1. Stresses on inclined planes
  2. Principal stresses and principal planes
  3. Maximum shear stress
  4. Mohr's circle
  5. Theories of failure
03Unit 3: Bending and Shear Stresses in Beams 5 topics
  1. SFD and BMD review
  2. Theory of simple bending: M/I = sigma/y = E/R
  3. Section modulus
  4. Bending stress distribution
  5. Shear stress distribution in beam sections
04Unit 4: Torsion and Thin Cylinders 5 topics
  1. Torsion of solid and hollow circular shafts
  2. Power transmitted by shafts
  3. Closely coiled helical springs
  4. Thin cylinders: hoop and longitudinal stresses
  5. Thin spherical shells
05Unit 5: Deflection of Beams and Columns 5 topics
  1. Double integration method
  2. Macaulay's method
  3. Moment area method
  4. Euler's theory and effective length
  5. Rankine's formula and slenderness ratio

About

You will be able to

  • Calculate stresses, strains and deformations in bars, compound bars and thermal problems
  • Relate elastic constants E, G, K and Poisson's ratio
  • Find principal stresses using analytical methods and Mohr's circle; apply theories of failure
  • Draw SFD / BMD and calculate bending and shear stresses in beams
  • Analyse torsion of circular shafts and stresses in thin cylinders
  • Compute beam deflections and buckling loads of columns by Euler and Rankine formulae

Who it is for

  • B.Tech Civil Engineering students of Semester 4 (AKTU)
  • Students of other universities studying the same subject who want unit-wise coaching

What you need

  • Engineering Mechanics (equilibrium, centroid, moment of inertia)
  • Calculus (integration)

Questions

Which syllabus does the Introduction to Solid Mechanics course follow?

It follows the AKTU (Dr. A.P.J. Abdul Kalam Technical University, Lucknow) B.Tech syllabus for Introduction to Solid Mechanics. If your own university's syllabus differs, the centre follows your university syllabus.

Will this help in the university examination?

Yes. Teaching is unit-wise as per the AKTU scheme, with previous-year question practice, MCQ tests and doubt sessions before the semester exam.

Is Mohr's circle taught graphically?

Yes. Principal stress problems are solved both analytically and with Mohr's circle, as asked in AKTU exams.

Download the syllabus (PDF)

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