
20222023 College Catalog [ARCHIVED CATALOG]

ENG 230  Mechanics of Materials 3 Credits, 3 Contact Hours 3 lecture periods 0 lab periods
Introduction to the analysis and design of the mechanical properties of materials. Includes the concept of stress and strain, axially loaded members, torsion, stresses and strains in beams, analysis of stress and strain, deflections of beams, statically indeterminate beams, and columns.
Prerequisite(s): ENG 210
Course Learning Outcomes
 Demonstrate the ability to compute the normal stresses and strains of prismatic bars subjected to axial loads.
 Demonstrate the ability to compute the stress and displacement of prismatic bards subjected to temperature change, misfits, and prestrains.
 Demonstrate the ability to compute the stresses and strains in statically determinate and indeterminate structures.
 Demonstrate the ability to compute the shear stresses and strains of prismatic and nonuniform shafts due to torsional loading.
 Demonstrate the ability to compute the stresses and strains for pure and nonuniform bending.
 Demonstrate the ability to evaluate the deflection of transverse loaded beans by integration and by method of superposition.
 Demonstrate the ability to analyze the statically indeterminate beams by integration and by method of superposition.
 Demonstrate the ability to compute the critical loads of columns with pinned supports and other support conditions.
Performance Objectives:
 Apply science and engineering principles to understand the mechanical properties of materials.
 Interpret stressstrain diagrams for typical structural materials.
 Select an appropriate material for a given application by the comparison of stressstrain diagrams.
 Demonstrate an understanding of fundamental concepts of Mechanics of Materials: stress and strain.
 Compute the normal stress and strain of prismatic bars subjected to axial loads.
 Compute the shear and bearing stresses of structural elements.
 Compute the normal stress and strain of nonuniform bars subjected to axial loads.
 Compute the normal stresses in statically indeterminate structures.
 Apply equilibrium, compatibility, and forcedeformation relationships to axially loaded members.
 Compute the stress and displacement of prismatic bars subjected to temperature change.
 Compute the stress and strain of prismatic bars subjected to misfits and prestrains.
 Evaluate stresses on inclined sections.
 Determine stress concentration factors.
 Compute the angle of twist due torsion in circular shafts.
 Compute the shear stresses of solid or hollow shafts due to torsional loading.
 Compute the shear stresses of nonuniform shafts due to torsional loading.
 Compute the shear stresses in statically indeterminate torsional members.
 Apply equilibrium, compatibility, and forcedeformation relationships to torsional members.
 Design the circular shafts by analysing transmission power.
 Construct shear forces and bending moment diagrams for various types of loaded beams.
 Compute the moment of inertia or second moment of area for complex cross sections.
 Compute the stress and strain for pure bending.
 Compute the shear stress for nonuniform bending.
 Design of beams for bending stresses.
 Compute principle stresses, maximum shear stresses and stresses in a specified direction.
 Utilize Mohr’s circle to compute principle stresses, maximum shear stresses and stresses in a specified direction.
 Evaluate the deflection of transverse loaded beams by integration and by method of superposition.
 Analyse statically indeterminate beams by integration and by method of superposition.
 Compute the critical loads of columns with pinned supports.
 Compute the critical loads of columns with other support conditions.
 Compute the critical loads of columns with eccentric axial loads.
 Apply the appropriate units of measurement to Mechanics of Materials problems and check the dimensional integrity of their solutions.
Outline:
 Introduction to the Concept of Stress and Strain
 Introduction to mechanics of materials
 Forces and stresses
 Mechanical properties of materials
 Stressstrain diagram
 Hooke’s Law and Poisson’s Radio; modulus of elasticity
 Axial loading; normal stress and strain
 Shear stress and strain
 Bearing stress
 Allowable stresses and allowable loads: factor of safety
 Axially Loaded Members
 Introduction
 Changes in lengths of axially loaded members
 Changes in lengths under nonuniform conditions
 Statically indeterminate structures
 Thermal effects
 Misfits and prestrains
 Stresses on inclined sections
 Repeated loading and fatigue: stress concentrations
 Torsion
 Introduction
 Torsional deformations of a circular bar
 Circular bars of linearly elastic materials
 Nonuniform torsion
 Stresses and strains in pure shear
 Relationship between moduli of elasticity E and G
 Transmission of power by circular shifts
 Statically indeterminate torsional members
 Stresses and Strains in Beams
 Introduction
 Types of beams, loads, and reactions
 Shearforce and bendingmoment diagrams
 Review of centroids and moments of inertia of plane areas
 Pure bending and nonuniform bending
 Curvature of a beam
 Longitudinal strains in beams
 Normal stresses in beams (linearly elastic materials)
 Design of beams of bending stresses
 Shear stresses in beams of rectangular cross section
 Shear stresses in beams of circular cross section
 Shear stresses in the webs of beams with flanges
 Analysis of Stress and Strain
 Introduction
 Plane stress
 Principal stresses and maximum shear stresses
 Mohr’s circle for plane stress
 Triaxial stress
 Deflections of Beams
 Introduction
 Deflections by integration of the bendingmoment equation
 Deflections by integration of the shearforce and load equations
 Method of superposition
 Momentarea method
 Statically Indeterminate Beams
 Introduction
 Types of statically indeterminate beams
 Analysis by the differential equations of the deflection curve
 Method of superposition
 Columns
 Introduction
 Buckling and stability
 Columns with pinned ends
 Columns with other support conditions
 Columns with eccentric axial loads
 Elastic and inelastic: column behavior/inelastic buckling
 Design formulas for columns

