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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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