MECHANICS OF SOLIDS Syllabus — Government College of Engineering and…
Full syllabus, topics and curated resources for MECHANICS OF SOLIDS (Government College of Engineering and Technology, Jammu).
Simple and compound stresses, bending and shear, torsion, columns, cylinders, beam deflection and theories of failure
- Subject code: MET5304
- University: Government College of Engineering and Technology, Jammu
- Course: BE (2022 onwards)
- Branch: ME
- Semester: 3
MECHANICS OF SOLIDS syllabus
Unit 1: Simple Stresses and Strain
- Introduction, Definition and concept and of stress and strain
- Hooke's law
- Stress-Strain diagrams for ferrous and nonferrous materials
- factor of safety
- Elongation of tapering bars of circular and rectangular cross sections
- Elongation due to self-weight
- Elastic constants and their relationship
Unit 2: Compound Stresses
- Introduction, state of stress at a point
- General two dimensional stress system
- Thermal Stresses
- Principal stresses and principal planes
- Mohr's circle of stresses
Unit 3: Shear Force and Bending Moment in Beams
- Introduction to types of beams, supports and loadings
- Definition of bending moment and shear force
- Sign conventions, relationship between load intensity, bending moment and shear force
- Shear force and bending moment diagrams for statically determinate beams subjected to points load, uniformly distributed loads, uniformly varying loads, couple…
Unit 4: Bending stress in Beam
- Axial & eccentric load, effect of eccentricity
- axial stress & bending stress, resulting stress intensities
- Theory of simple bending-bending stress distribution
- Load carrying capacity
- Proportioning of sections
- Flitched beams
- Shear stress distribution
Unit 5: Torsion in Circular Shaft
- Introduction, pure torsion, Assumptions
- derivation of torsion equation for circular shafts
- torsional rigidity and polar modulus
- Power transmitted by a shaft, combined bending and torsion
Unit 6: Columns and Struts
- Introduction, short and long columns
- Euler's theory; Assumptions
- Derivation for Euler's Buckling load for different conditions
- Limitations of Euler's theory
- Rankine-Gordon's formula for columns
Unit 7: Thin and Thick Cylinders
- Introduction
- Thin cylinders subjected to internal pressure; Hoop stresses, Longitudinal stress and change in volume
- Thick cylinders subjected to both internal and external pressure; Lame's equation, radial and hoop stress distribution
Unit 8: Deflection of Beams
- Double Integration method
- Macaulay's method
- Area moment method for computation of slopes and deflections in beams
Unit 9: Theories of Failure
- Introduction, maximum principal stress theory (Rankine's theory)
- Maximum shearing stress theory (Tresca's theory)
- Strain energy theory (Beltrami and Haigh)
- and maximum strain theory (St. Venant's theory)
- Theories of failure as applicable to ductile and brittle materials
- their significance and comparison