MEC 2501 - Statics and Mechanics of Materials

• Perform vector analysis (addition, and resolution into components) of forces in 2 and 3 dimensions and find the resultant of forces acting on a particle
• Use equilibrium of a particle in 2 and 3 dimensions and solve for unknown forces
• Find moments of a force about a point
• Draw free body diagrams of particles and rigid bodies and solve rigid body problems for equilibrium in 2D
• Calculate moments of inertia of areas
• Determine reactions and internal forces on members of structures such as trusses and frames
• Draw free body diagram of rigid bodies and apply equations of equilibrium to find internal forces
• Understand the concept of stress, strain, Hooke’s Law and mechanical properties of material and must be able to calculate stresses and strain in axially loaded members
• Calculate stresses and strain in a member of circular cross-section subjected to torques
• Calculate stresses and strain in prismatic member subjected to bending and must be able to calculate shear stresses in beam due to transverse loading
• Be familiar with the transformation of stress and strain and be able to find maximum normal and shear stresses
• Apply the concepts they learn to design members subjected to combined loading
• Find deflection of a beam subjected to load

• Calculus II

• Vector and vector operations
• Addition of a system of coplanar forces
• Moments of a force
• Equilibrium of a rigid body in 2D and free body diagram
• Trusses-method of joints and sections
• Frames
• Centroids and moments of inertia for areas
• Average normal and shear stresses
• Mechanical properties of materials
• Axially loaded members
• Torsional deformation of circular shafts
• Shear and moment diagrams
• Bending of straight members
• State of stress caused by combined loading
• General equations of plane stress transformation
• Principal stresses and maximum shear stress
• Deflection of beams using integration and method of superposition