DESIGN PROBLEMS IN ELASTICITY

Prerequisites & course information

Requisites: M E 306, E M A 303 , graduate/professional standing, or member of Engineering Guest Students Repeatable for Credit: No Last Taught: Spring 2024 Learning Outcomes: 1. Solve for the octahedral stress, stress invariants, principal stresses and direction cosines of the principal stresses for a state of stress involving 3 orthogonal normal stresses and 3 orthogonal shear stresses Audience: Undergraduate 2. Calculate strain energy density and strain energy for normal stresses from axial and bending loads and for shear stresses from torque loads within the elastic range Audience: Undergraduate 3. Apply energy methods to linear elastic structural mechanics problems including the Principle of Virtual work, Reciprocity Theorem, Unit Load Method, Castigliano’s Theorem, Stationary Potential Energy and the Rayleigh-Ritz Method Audience: Undergraduate 4. Verify compatibility and equilibrium of displacement fields for plane elasticity problems and solve for the corresponding stresses and/or strains Audience: Undergraduate 5. Analyze the stresses, strains and displacements caused by thermal, pressurization and rotational loading of axisymmetric plane elasticity problems (hollow and solid disks) Audience: Undergraduate Learning Outcomes: 1. Solve for the octahedral stress, stress invariants, principal stresses and direction cosines of the principal stresses for a state of stress involving 3 orthogonal normal stresses and 3 orthogonal shear stresses Audience: Undergraduate 2. Calculate strain energy density and strain energy for normal stresses from axial and bending loads and for shear stresses from torque loads within the elastic range Audience: Undergraduate 3. Apply energy methods to linear elastic structural mechanics problems including the Principle of Virtual work, Reciprocity Theorem, Unit Load Method, Castigliano’s Theorem, Stationary Potential Energy and the Rayleigh-Ritz Method Audience: Undergraduate 4. Verify compatibility and equilibrium of displacement fields for plane elasticity problems and solve for the corresponding stresses and/or strains Audience: Undergraduate 5. Analyze the stresses, strains and displacements caused by thermal, pressurization and rotational loading of axisymmetric plane elasticity problems (hollow and solid disks) Audience: Undergraduate