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
• Determine the stress state in a member resulting from combinations of loads
• Determine principal stresses for a state of plane stress
• Determine beam deflections
• Be familiar with the Euler buckling load for columns of various end conditions

• Statics
• Integral calculus
• Differential calculus

• Review of statics, reactions, and internal loads, basic axial stress and 1D Hooke’s Law
• Axial stress concentrations, axial deformation, and mechanical properties of materials
• Poisson’s ratio, Shear stress and strain, 3D 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), trasnverse shear, built-up sections (shear flow)
• Combined loading
• Beam deflection
• Buckling, buckling stress, slenderness ratio, and effective length