MEC 2030 - Mechanics of Materials

• Draw free body diagram and apply equations of equilibrium to find internal forces
• Understand the concept of stress, strain, Hooke’s law and mechanical properties of material
• Calculate stresses and strain in axially loaded member and due to temperature change
• Calculate stresses and strain in a member of circular cross-section subjected to torsional loading and design transmission shafts
• Analyze indeterminate members under torsional and axial loading
• Draw shear and bending moment diagrams
• Calculate stresses and strains in prismatic members subjected to bending and calculate shear stresses in beam and thin-walled members due to transverse loading
• Measure strains and reduce strain rosette data
• Find maximum normal and shear stresses and planes they act on
• Apply the concepts they learned in this course and design structural members/components subjected to combined loading
• Calculate stresses in thin-walled pressure vessels
• Obtain deflection of a beam subjected to various loading condition.
• Use column design codes (steel, aluminum, and timber) and design compression members

• Drawing of free body diagrams
• Particle and rigid-body equilibrium
• Area moment of inertia
• Double integration

• Normal stress due to axial loading
• Shearing and bearing stress in connections
• Stresses on an oblique plane
• Design considerations
• Strain and deformation, stress strain diagram
• Material properties
• Deformation of axially loaded members
• Statically indeterminate members subjected to axial loads
• Statically indeterminate members, thermal stresses
• Shearing strain
• Hooke’s law
• Stress concentrations
• Torsional stresses and deformations
• Angle of twist
• Statically indeterminate shafts
• Power transmission
• Bending of straight member
• Deformation due to bending
• Eccentric axial loading
• Shear and bending moment diagram
• Shear stress in beams
• Stress transformation
• Principal stresses
• Application of Mohr’s circle for plane stress
• Thin-walled pressure vessels
• Principal stresses in a beam
• Combined loading
• Bean deflection, singularity functions
• Deflection of statically indeterminate beams
• Beam deflection using method of superposition
• Column buckling

• Error and error propagation
• Shear of joined sections
• Tension test
• Tensile loading of a bar, stress concentration near a circular hole
• Torsion of a tube
• Combined loading experiment
• Stress in a cantilever beam, stress distribution in a beam
• Column buckling experiment 
• Indeterminate beam deflections