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

Stress, strain and Hooke's law
Stress-strain curve of mild steel
Elastic constants and their relations
Bars of varying section and compound bars
Thermal stresses
Strain energy and impact loading

02Unit 2: Compound Stresses 5 topics

Stresses on inclined planes
Principal stresses and principal planes
Maximum shear stress
Mohr's circle
Theories of failure

03Unit 3: Bending and Shear Stresses in Beams 5 topics

SFD and BMD review
Theory of simple bending: M/I = sigma/y = E/R
Section modulus
Bending stress distribution
Shear stress distribution in beam sections

04Unit 4: Torsion and Thin Cylinders 5 topics

Torsion of solid and hollow circular shafts
Power transmitted by shafts
Closely coiled helical springs
Thin cylinders: hoop and longitudinal stresses
Thin spherical shells

05Unit 5: Deflection of Beams and Columns 5 topics

Double integration method
Macaulay's method
Moment area method
Euler's theory and effective length
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.