ME 2004 - Mechanics of Materials I

• Determine stresses resulting from axial, bending, torsion, and transverse loading
• Apply Hooke’s law for materials with linear stress-strain behavior to relate stress to strain
• Determine the stress state in a member resulting from combinations of loads
• Evaluate how planar stresses transform with 2D rotation
• Determine principal stresses for a state of plane stress
• Determine beam deflections
• Identify and solve statically indeterminate beam problems
• Utilize Euler’s equation to predict buckling limit loads for columns with various end conditions
• Evaluate how planar stresses transform with 2D rotation

• Statics
• Integral calculus
• Differential calculus

• Review of statics, reactions, and internal loads, basic axial stress and 1-D Hooke’s law
• Axial stress concentrations, axial deformation, and mechanical properties of materials
• Poisson’s ratio, shear stress and strain, 3-D Hooke’s law, and plane stress and strain
• Stress on an inclined surface and stress transformation
• Mohr’s circle for plane stress principle stresses, maximum shearing stresses, principle planes, and planes of maximum shear
• Statically indeterminate axial members, torsion, angle of twist, and power transmission
• Simple bending (flexural formula), transverse shear
• Combined loading
• Beam deflection
• Euler buckling