Strength of Materials - I
Definition: Strength of Materials - I analyzes stresses, strains, and deformations in structural members under various loads like axial, bending, shear, and torsion.
- Rigid bodies and deformable solids.
- Tension, Compression and Shear Stresses.
- Hooke’s law, Elastic constants and their relations.
- Plastic behavior of materials.
- Deformation of simple and compound bars, Thermal stresses, Volumetric strains.
- Stresses on inclined planes, Principal stresses and principal planes.
- Mohr’s circle of stress.
Unit 2: Transverse Loading on Beams and Stresses in Beams
- Types of beams, Transverse loading.
- Shear force and bending moment in beams.
- Cantilevers, Simply supported beams and over-hanging beams under point, uniformly distributed and uniformly varying loads.
- Theory of bending of beams, Bending stress distribution and neutral axis.
- Shear stress distribution, Load carrying capacity, Proportioning of section.
Unit 3: Deflection of Beams
- Differential equation of elastic curve.
- Slope and deflection of beams by integration method, Macaulay’s method, Moment area method.
- Deflection in cantilevers, simply supported beams including overhangs.
Unit 4: Torsion
- Torsion of circular shafts – Solid and hollow.
- Stresses and deformation in circular shafts.
- Torsional strain energy.
- Power transmitted by shafts.
Unit 5: Columns and Struts
- Buckling of long columns.
- Euler’s theory for different end conditions.
- Rankine’s formula.
- Columns with initial curvature, Eccentric loading.
Unit 6: Pressure Vessels
- Thin cylinders under internal pressure – Hoop and longitudinal stresses.
- Wire wound thin cylinders.
- Thick cylinders – Lame’s theory, Compound cylinders.