Introduction to Solid Mechanics

B-Tech · Semester 4 — Stress and strain, bending and shear stresses, torsion, deflection of beams and columns.

6 महीनेअवधि 1Subject 5Chapters ऑनलाइनTests & result

Your roadmap · आपका रोडमैप

  1. 1
    Admission & first meetingप्रवेश और पहली मुलाकात

    Enquire at your nearest NDSS centre, meet the teacher, fix the batch time and get your study material.

  2. 2
    Part 1 of the syllabusपाठ्यक्रम भाग 1

    Unit-wise coaching with notes and doubt classes.

    Unit 1: Simple Stresses and StrainsUnit 2: Compound StressesUnit 3: Bending and Shear Stresses in Beams
  3. 3
    Part 2 of the syllabusपाठ्यक्रम भाग 2

    Unit-wise coaching with notes and doubt classes.

    Unit 4: Torsion and Thin CylindersUnit 5: Deflection of Beams and Columns
  4. 4
    Unit tests & assignmentsयूनिट टेस्ट

    Regular tests in the university / board pattern.

  5. 5
    Semester 4 exam (university / board)विश्वविद्यालय / बोर्ड परीक्षा

    Previous papers and full revision before the exam.

  6. 6
    Online tests & resultऑनलाइन टेस्ट और रिज़ल्ट

    Take the tests online; your marks and result show in your student login and at the centre.

सिलेबस · पाठ्यक्रम

1 subject · 5 chapters · 26 topics

01Unit 1: Simple Stresses and Strains 6 टॉपिक
  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 टॉपिक
  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 टॉपिक
  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 टॉपिक
  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 टॉपिक
  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 this course

आप यह कर पाएँगे

  • 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

यह किसके लिए है

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

आपको क्या चाहिए

  • Engineering Mechanics (equilibrium, centroid, moment of inertia)
  • Calculus (integration)
Online tests & result Practice and unit tests online; marks and result show in your student login and at the centre. Student login →

सवाल

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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