To provide students with an understanding of the principles of analysis and design of structures and the concepts of stress and strain.Basic definition of force, displacement, stress, strain and elastic material properties. Forces and stresses in pin jointed frames; bending moment, shear force in beams; stress due to bending of beams; deflection of beams; buckling of struts; stress due to torsion of shafts; combined axial and bending stress; stress in thin walled pressure vessels. Shear stresses in beams. Continuous beams: Slope-deflection equations, stiffness matrix and nodal force vector, computer analysis. Definition of stress in three dimensions. Stress transformation in two dimensions; principal stresses in two dimensions. Mohr's circle of stress. Definition of strain and strain-displacement relations in two dimensions; strain transformation and principal strains in two dimensions; isotropic elasticity.
Upon successful completion of the course, the student will be able to calculate stresses and displacements of simple skeletal structures according to the theory generally applied in engineering practice, and will be aware of the circumstances in which that theory may not yield results of adequate accuracy. The student will also be able to carry out some analysis of the states of stress and strain in a material, for the cases of plane strain and plane stress.
Assumed Knowledge: 1300