The purpose of the course is to provide a foundation to the principles involved in the design of load carrying devices where the design criterion is either yielding or stiffness. The topics to be covered are as follows:
Introductory Concepts - Mechanics of single and multiple body devices. Internal loads and moments, stress and strain due to normal and shear forces.
Elastic Deformation, Single Stress States - Material properties from a tensile test: modulus of elasticity, Poisson’s ratio, shear modulus, and yield stress. Concepts of material failure.
Axial Loading of Bars -Determination of normal stress and strain under axial loading. Statically determinate and indeterminate problems.
Bending of Beams - Normal stress in beams due to pure bending. Beam deflection analyses.
Simple Shear - Determination of shear stress due to simple loading.
Torsion of Circular Shafts - Shear stress and deformation in shafts under torsion. Basic assumptions of the shaft action under elastic deformations.
Shear in Beams - Analysis of shear stresses in bars and beams carrying transverse forces.
Combined Axial Stress States - Determination of axial and biaxial stress states due to simple combined loadings. Buckling of simple struts.
Elastic Deformation, Multiple Stress States - General Hookes Law. Analysis of 2D stress states, and failure under these conditions.
Analysis of Multiple Loading Situations - Consideration of multiple stress states arising from combined loading. Material failure under complex loading.