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
- Double Integration method
- Macaulay’s method
- Area moment method for computation of slopes and deflections in beams
- Conjugate beam and strain energy
- Castigliano’s & Maxwell’s theorems
Unit 4: Torsion
- Torsion formulation stresses and deformation in circular and hollows shafts
- Stepped shafts
- Deflection in shafts fixed at the both ends
- Stresses in helical springs
- Deflection of helical springs
- carriage springs
Unit 5: Thin Cylinders, Spheres and Thick Cylinders
- Stresses in thin cylindrical shell due to internal pressure
- circumferential and longitudinal stresses and deformation in thin and thick cylinders
- spherical shells subjected to internal pressure
- Deformation in spherical shells
- Lame’s theorem