*Course ID: Engi 4312, **Offered in Spring, **Enrollments: 90, **Class hours: 3hr/wk*

**Major Topics**

**Introduction to Mechanics of Materials and Stress**

- Definition of mechanics; Different types of loads/forces; Review of reactions at supports/connections; Equations of forces/moments in equilibrium state
- Internal loadings in solid materials for an external load
- Concept of stress; Average normal stress and average shear stress
- Allowable stress design for a solid material

**Deformation and Strain in Solid Materials **

- Effects of an external force
- Concept of deformation and strain
- Concept of axial and shear strain

**Mechanical Properties of Materials**

- The tension tests, the stress-strain diagram
- Detail inspection of stress-strain diagram
- Concept of Modulus of elasticity (Hook’s law), Yielding, Plastic Deformation, Strain Hardening, Necking
- Ductile Materials vs. Brittle materials
- Procedure for Determining Yield Stress for Materials with Non-linear Elastic Behaviors (e.g.; Metal, Plastic)
- Concepts of Permanent set, Strain Energy, Strain Energy Density, Elastic Strain Energy, Modulus of Resilience, Modulus of Toughness, Poisson Ratio, Creep, Fatigue

**Stress and Deformation in Materials under Normal ****Loading**

- Review of stress distribution and Hooke’s law
- The Saint-Venant Principle
- Estimating deformation of an axially loaded member (within the elastic region)
- The Principle of Superposition
- Statically indeterminate axially loaded member
- How to analyze statically indeterminate axially loaded member
- Concepts of Thermal Stress, Stress Concentration and Residual Stress

**Effect of Torsional Forces in Structural Materials **

- Concept of torsional moment or torque
- A brief overview of torsion test
- Visualization of torsion force application or torsional effects
- Understanding and estimation of effect (stress and strain) of torsional force on a circular shaft
- Review of polar moment of inertia
- Understanding shear stress distribution in a member and its effects; Relationship between power (rate of work) and torque
- Estimation of angle of twist for a torsional force; Sign convention in torsion problem

**Effect of Bending Loading **

- Concept of bending/flexural moment
- Visualization of bending/flexural effects
- Effects of internal loadings in beams
- Detail discussion on methods for determining shear and moment in beams: shear and moment functions method and graphical method
- Understanding of bending deformation in a beam due to bending moment and equation for estimating bending deformation
- Understanding of bending stress (flexure stress) and equation for bending stress (flexure stress)
- Procedure for determining bending stress in a beam
- Concept of unsymmetrical bending and determining bending stress when moment arbitrarily applied

**Concepts and Applications of Transverse Shear Forces **

- Concept of transverse and longitudinal shear forces or shear stresses
- Understanding shear force and shear stress in straight member
- Visualization of transverse shear effects
- Estimating the shear stress in the member at the point located a distance y from the neutral axis
- What will be the shear stress at flange-web junction?
- Shear stress distribution over the width t at the section
- Procedure for estimating shear stress distribution
- Concept of shear flow in a built-up member
- Estimating spacing of fastener/tie

**Effect of Combined Loadings **

- Understanding stresses in pressure vessels or cylinders
- Estimating Hoop/Circumferential Stress in a thin-wall pressure vessel
- Estimating Longitudinal Stress in a thin-wall pressure vessel
- Estimating Circumferential and Longitudinal Stresses in a Spherical Vessel
- Understanding concept of combined loadings, and the resultant stress from the combined loadings
- Procedure for analysis to determine stress from combined loadings
- Application of concepts