# Strength of Materials

MT 252## Course Description

### Prerequisites: Prerequisites: ENG 112 or ENG 113 and MT 251.

Uses mathematical and computer methods, as well as Mohr's circle, to determine stress, strain, load, and deflection relationships for structure and machine elements. Uses machine components in tension, compression, or shear, beams in bending or deflection, columns, and bolted joints in design calculations. (45-0)

## Outcomes and Objectives

### Calculate the stress or strain of a machine or structural component in tension, compression, or shear.

#### Objectives:

- Given the loading and dimensions, calculate the stress.
- Given the load, dimensions, and material, calculate the axial deformation.
- Given the material, load, and dimensions, calculate the strain.
- Given longitudinal strain and material, calculate lateral strain.
- Given material and temperature change in an unrestrained member, calculate thermal strain.
- Given material and temperature change in a restrained member, calculate thermal stress.
- Given two dissimilar materials supporting a single load, calculate their stresses.
- Demonstrations of teoretical principles will utilize tension test machine, torsion machine and impact testor.

### Calculate the stress or deflection of a simply supported or cantilever beam.

#### Objectives:

- Given a beam span and a combination of concentrated and uniformly-distributed loads, calculate the support reaction forces.
- Given a complete Loading Diagram, sketch and label the Vertical Shear Force Diagram.
- Given a complete Vertical Shear Force Diagram, sketch and label the Moment Diagram.
- Given a beam loading and cross-section dimensions, calculate the bending stress.
- Given a beam loading, of one cross section, and material, calculate its deflection using the appropriate case in the appendix of any Mechanics of Materials text.
- Given a beam or shaft with an abrupt change in cross-section (e.g., keyway, shoulder, hole), calculate the stress at the discontinuity using Kt found in the appendix of any Mechanics of Materials text.

### Calculate the stress and angle of twist of a shaft in torsion.

#### Objectives:

- Given a shaft with a keyway, shoulder, etc., calculate the stress at the discontinuity using Kt found in the appendix of any Mechanics of Materials text.
- Given a shaft with multiple diameters, calculate the combined angle of twist from end to end.
- Given a transmission shaft, sketch the Torque Diagram and calculate the shear stresses and angle of twist from end to end.

### Calculate the total stress in components under both normal and shear stress loading.

#### Objectives:

- Given a member exposed to tensile, compressive, and bending loading, calculate the total normal stresses at critical points.
- Given a member exposed to a combination of normal stresses and shear stresses due to torsion, calculate the principle normal stresses and the maximum shear stress using Mohr's Circle.