20806234Mechanics of Materials
Course Information
Description
Mechanics of Materials introduces students to simple stress and strain; design and investigation of joints, beams, torsion members and columns; evaluation of shear, moment, slope and deflection of beams and combined stresses.
Total Credits
4
Course Competencies
  1. Calculate the internal loadings in a beam and determine the associated stresses
    Assessment Strategies
    Problem Sets, Labs, Exams, Diagram, Written Report
    Criteria
    Draw free body diagrams of internal loadings
    Written report explains normal stress and apply the equation to a beam
    Written report explains shear stress and apply the equation to a beam

  2. Define strain and analyze a stress vs. strain diagram
    Assessment Strategies
    Problem Sets, Labs, Exams
    Criteria
    Identify key characteristics of a normal stress vs. strain diagram
    Identify key characteristics of a shear stress vs. strain diagram
    Calculate Poisson’s Ratio
    Apply Hooke’s Law for stress and strain
    Define strain

  3. Compute the internal stresses due to axial loading, torsional loading, and bending loads
    Assessment Strategies
    Problem Sets, Labs, Exams
    Criteria
    Apply Saint-Venant’s Principle and stress concentration factors
    Apply superposition to determine the deformation of an axially loaded beam
    Calculate the reactions of a statically indeterminate beam using compatibility equations
    Calculations are accurate and meet expectations as specified by the instructor

  4. Analyze circular beams subjected to torque
    Assessment Strategies
    Problem Sets, Labs, Exams
    Criteria
    Derive and apply the torsion formula
    Derive and calculate the angle of twist
    Calculate the reactions of a statically indeterminate beam using compatibility equations
    Calculations are accurate and meet expectations as specified by the instructor

  5. Determine the internal stresses of a beam due to bending
    Assessment Strategies
    Problem Sets, Labs, Exams
    Criteria
    Create shear and bending moment diagrams of beams
    Derive and apply the flexure formula
    Draw the stress distribution over a cross section
    Diagrams meet expectations as specified by the instructor

  6. Develop a method for finding shear stress in a beam and find the spacing of fasteners along a beam’s length
    Assessment Strategies
    Problem Sets, Labs, Exams
    Criteria
    Derive and apply the shear formula
    Determine and draw the shear flow over a cross section
    Determine the appropriate fastener spacing along a beam

  7. Analyze pressure vessels and determine stresses due to combined loadings
    Assessment Strategies
    Problem Sets, Labs, Exams
    Criteria
    Calculate hoop stress in a pressure vessel
    Calculate longitudinal stress in a pressure vessel
    Use superposition to determine stress in a beam subjected to combined loadings
    Calculations are accurate and meet expectations as specified by the instructor

  8. Transform the stress components acting on an element at a point into components acting on a corresponding element having a different orientation
    Assessment Strategies
    Problem Sets, Labs, Exams
    Criteria
    Derive and apply the equations for stress transformation
    Calculate the principal stresses
    Calculate the maximum in-plane shear stress
    Construct and apply Mohr’s Circle for stress
    Calculate the absolute maximum shear stress
    Calculations are accurate and meet expectations as specified by the instructor

  9. Transform the strain components acting on an element at a point into components acting on a corresponding element having a different orientation
    Assessment Strategies
    Problem Sets, Labs, Exams
    Criteria
    Derive and apply the equations for strain transformation
    Calculate the principal strains
    Calculate the maximum in-plane and absolute maximum shear strain
    Construct and apply Mohr’s Circle for strain
    Derive the relationship between the elastic and shear moduli
    Calculations are accurate and meet expectations as specified by the instructor

  10. Design a prismatic beam
    Assessment Strategies
    Problem Sets, Labs, Exams
    Criteria
    Beam resists both internal bending and shear
    Use tables to determine appropriate cross sections that will withstand the maximum allowable stresses
    Use failure theories to determine the maximum allowable stresses

  11. Implement various methods for determining the deflections of beams and shafts
    Assessment Strategies
    Problem Sets, Labs, Exams
    Criteria
    Determine the equation for the elastic curve of a beam
    Use continuity and boundary conditions to determine the equation for deflection
    Use the method of superposition to determine the deflection of a point on a beam

  12. Compute the buckling loads of columns with various end conditions
    Assessment Strategies
    Problem Sets, Labs, Exams
    Criteria
    Determine the critical load for a column
    Identify stable, unstable, and neutral equilibrium for columns
    Use Euler’s formula to determine the critical buckling load
    Calculations are accurate and meet expectations as specified by the instructor