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Engineering Statics (C-ID ENGR 130)

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1. Review of Statics/Equilibrium/Factor of Safety
2. Stress and Strain
   1. Normal Stress/Strain Curves, Young’s Modulus, Poisson’s Ratio, Energy Density
   2. Shear Stress/Strain Curves, Shear Modulus, Shear Energy Density
   3. Plane Stress and Plane Strain
   4. General 3-D Stress-Strain relationships (optional)
3. Axial Members
   1. Members with constant internal force/area/material
   2. Members with varying (discontinuous/continuous) internal force/area
   3. Displacement Methods to determine movement of a point
   4. Energy Methods
   5. Statically Indeterminate Systems (optional)
4. Pressure Vessels (Thin-walled)
5. Torsion Members
   1. Members with constant internal force/area/material
   2. Members with varying (discontinuous/continuous) internal force/area
   3. Displacement Methods to determine movement of a point
   4. Statically Indeterminate Systems (optional)
6. Beams
   1. Shear and Moment Diagrams
   2. Bending Stress
   3. Beam Displacement
   4. Shear Stress
   5. Shear Flow
   6. Shear Center (optional)
   7. Statically Indeterminate Systems (optional)
7. Combined Loads and Stresses
8. Stress Transformation
   1. Transformation Equations
   2. Principal Stresses/Maximum Shear Stress
   3. Mohr’s Circle
   4. Strain Transformation (optional)
9. Failure Criteria
   1. Brittle Failure (Maximum Normal Stress)
   2. Maximum Shear Stress (Tresca)
   3. Maximum Strain Energy (von Mises)
10. Buckling of Columns

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Upon successful completion of the course, students will be able to:

1. given a loading condition on a structural system. determine the forces (torques and/or moments) applied on each structural member of a system, and the internal forces and couples at internal sections.
2. given  the forces (torques/moments) applied to structural members, identify the applicable theory, and apply the appropriate equations to calculate the internal stresses, strains and/or displacements,
3. perform coordinate transformations of the state of stress and strain at a point, including using Mohr’s Circle.
4. determine if a structural system meets its design specifications, and/or determine how the system will fail, given or having calculated the stresses, strains and displacements.

Tests, examinations, homework or projects where students demonstrate their mastery of the learning objectives and their ability to devise, organize and present complete solutions to problems.

Beer and Johnston, Mechanics of Materials

Gere and Goodno, Mechanics of Materials,

Hibbler, Mechanics of Materials

Leckie and Dal Bello, Strength and Stiffness of Engineering Systems