CLO 1: Analyze composite beams and indeterminate systems by applying the transformed section method, strain energy principles, and Castigliano’s theorem to determine stress, strain, and deflection distributions under various loads and support conditions.

CLO 2: Evaluate buckling stability and thermal effects in structural members using Euler’s formula for struts with different end conditions, and calculate thermal stresses and rotations in sink fit assemblies due to thermal expansion and contraction.

CLO 3: Determine shear stress distributions and failure criteria in beams of rectangular and circular cross-sections, and apply von Mises and Tresca yield criteria to predict yielding in single and poly-crystalline materials based on dislocation theory.

CLO 4: Assess fracture, fatigue, and time-dependent behavior of materials by distinguishing between linear-elastic and elastic-plastic fracture mechanics (LEFM/EPFM), and explaining low-cycle/high-cycle fatigue, creep, stress rupture, and visco-elasticity.

Composite Beams: Types and Applications, properties, steel-concrete composite beams, carbon fiber-reinforced beams, Equivalent Section Properties, transformed section method, stress and strain distributions. 

Strain Energy: concept of strain energy, energy stored in a beam, composite beams under various loads, forces and moments. 

Castigliano's Theorem: Applications to Deflection of Beams, Castigliano's theorem and strain energy, deflections in beams. 

Statistically Indeterminate Systems: Deflection of Trusses, Struts, calculating deflections in trusses and struts, where internal forces, multiple support constraints and load paths, Euler's Formula for Struts, critical buckling load for struts (columns) with different end; pinned-pinned, fixed-free, and fixed-fixed. 

Bending Due to Thermal Stresses: Thermal stresses; thermal expansion and contraction. 

Shear Stress Due to Bending in Beams: analyzing shear stress distribution, rectangular and circular sectioned beams, safe and efficient beam design, Rotation of Shrink Fit Assemblies, thermal expansion and contraction, rotation and stress distribution. 

Theory of Plates: Elastic Stress-Strain Relationships, thin, flat structures, plates deformation under various loads and constraints, Yielding of Single and Poly- Crystals, Dislocation Theory, defects in the crystal structure, Yield criteria; von Mises and Tresca. 

Fracture Mechanics: Linear-Elastic, Elastic-Plastic, and Yielding: Linear-elastic fracture mechanics (LEFM) for brittle materials, elastic- plastic fracture mechanics (EPFM) for ductile materials. 

Low Cycle and High Cycle Fatigue: Creep, Stress Rupture, Visco-Elasticity, cyclic loading experience fatigue, stress and strain, Creep and stress rupture visco-elasticity, both viscous and elastic behavior.