Concept of stress : Type of the loads Normal stress Bearing stress : Shear stress 1- single shear 2- Double shear : Problems set 1.1,1.4,1.5,1.10,1.11,1.13,1.14,1.15,1.18,1.21,1.23,1.37,1.59,1.63

Definition of Strain: Understanding strain as the deformation of materials in response to applied stress. Relation between Stress and Strain: Delving into the linear and nonlinear relationships, and the significance of the stress-strain curve. Axial Loading: Discussing the effects of forces applied along the longitudinal axis of a member, leading to normal stress and strain. Elasticity and Plasticity: Exploring the elastic region, where the material returns to its original state after unloading, and the plastic region, where permanent deformation occurs. Hooke’s Law: Introducing the proportionality between stress and strain in the elastic region and the concept of the modulus of elasticity or Young's Modulus. Poisson’s Ratio: Understanding the lateral strain's relationship to the longitudinal strain when a material is stretched. Thermal Effects: Discussing the stresses and strains induced by temperature changes and the concept of the coefficient of thermal expansion. Statically Indeterminate Problems: Addressing problems where the number of unknowns exceeds the number of equilibrium equations, requiring compatibility conditions.

Introduction to Torsion: Understanding what torsion is, and how it affects cylindrical objects subjected to twisting moments. Shear Stress in Torsion: Delving into the relationship between applied torques and the resultant shear stress in circular shafts. Angle of Twist: Calculating the angle through which a shaft twists when subjected to a given torque and understanding the relationship between the angle of twist, torque, and shaft geometry. Polar Moment of Inertia: Introducing the property of an object which can be used to predict the amount it will twist when subjected to a torque. Torsion in Non-Circular Shafts: Exploring torsion in non-circular cross-sections and understanding the challenges and complexities involved. Power Transmission: Relating torsion to practical applications, like how shafts transmit power in machines and understanding the relationships between torque, power, and rotational speed. Stress Concentration in Shafts: Discussing the effects of notches or other abrupt changes in shaft geometry on stress distribution and potential failure points. Combined Loading: Analyzing situations where a shaft is subjected to both bending and torsion, and understanding superposition's role in stress analysis. Statically Indeterminate Torsion Problems: Tackling problems where additional compatibility conditions are needed due to redundant constraints or supports. Strain Energy in Torsion: Investigating the energy stored in a material subjected to torsion, analogous to axial loading but for twisting deformations.