Undergraduate Curriculum Learning Objectives
MCEN 2063 - Mechanics of Solids
1. Uniaxial Loading
- Analyze statically indeterminate problems
- Analyze stresses in members subjected to temperature changes as well as applied loads.
- Understand the displacement method for systems with many elements subjected to axial loading.
- Develop the force-displacement relationships for trusses using the displacement method in a matrix analysis framework.
- Learn how to use load cells, an Instron tester, and dial indicators from a design optimization project involving an indeterminate structure.
to work on a small team as part of this project.
2. Torsional Loading of Circular Shafts
- Understand the basic relationships between torque,
shear stress, shear strain, and torsional stiffness.
- Determine stresses and deflections for statically determinant and indeterminate systems.
- Use the displacement method for torsional systems.
- Calculate power transmitted to rotating parts and its relationship to torque and speed.
- Become familiar with motors, angular measurement, and rotating components through a design optimization project involving the design of a rotating shaft.
- Learn to work in small teams.
3. Shear and Bending in Beams
- Develop both shear and bending moment diagrams.
- Understand and derive the differential equations relating load, shear and bending moment.
- Solve for shear and bending moments in a beam when the applied loads are described by singularity functions.
4. Beam Flexure
- Derive and determine shear and normal stress.
- Derive and determine deflections in beams subjected to bending.
- Perform stress and deflection analyses of beams containing non-uniform cross-sections.
- Use double integration and superposition methods to obtain beam deflections.
- Solve simple statically indeterminate problems.
- Learn to apply strain gages, perform some simple machining, and understand
bridges via a design optimization project involving
the design of a beam subjected to a given load.
5. Stress and Strain
- Understand the general state of stress at a point on a body in three dimensions.
- Understand the equilibrium relationships of stress components at a point in a body in a state of plane stress or plane strain.
- Perform stress and strain transformations and determine the principal and maximum shear stresses in a body.
- Calculate the stresses in thin walled pressure vessels(cylindrical and spherical).
- Develop the relationship between strain and displacement in a body subjected to plane strain or plane stress.
the relationship between stress and strain
for linear elastic materials.
6. Combined Loading
- Calculate the stresses in a body subjected to combined axial, bending and/or torsional loading.
- Derive relationships leading to the calculation of critical buckling loads for axial loaded beams with different boundary conditions.
Shear force and bending moment; Torsion; Stresses in beams; Deflection of beams; Matrix analysis of frame structures; Analysis of stress and strain in 2-D and 3-D (field equations, transformations); Energy methods; Stress concentrations; Columns. Lectures and homework assignments involve computer work and hands-on laboratory work in the ITLL, documented by written reports. Prerequisites: MCEN 2023
Prepared by J. Zable and M. Dunn 1/21/98