CAE 2512 - Mechanics of Materials

3 lecture hours 0 lab hours 3 credits

Course Description
This course explores the concepts of stress and strain in elastic bodies. The focus of the first half of this course includes Hooke’s Law and stress and strain due to axial force, torsion, flexure, and shear. Statically indeterminate structures with axial and torsional loadings are also studied. The second half of this course covers stress and strain transformation, principal stresses, deflection of statically determinate beams, an introduction to the analysis of statically indeterminate beams, and elastic buckling of columns. Students may not receive credit for both CAE 2512 and MEC 2030. (prereq: CAE 2511) (quarter system prereq: MA 137, PH 2011, AE 200) (coreq: PHY 1110)

Course Learning Outcomes
Upon successful completion of this course, the student will be able to:

Determine normal stress and strain, and axial displacement, due to axial loadings. This includes axially determinate and indeterminate structures and thermal loadings
Apply Hooke’s law to determine deformations in elastic materials subjected to biaxial loading
Determine shear stress and strain, and twist angle, due to torsional loadings in determinate and indeterminate structures
Determine normal stresses in beams due to flexure. This includes ordinary and composite beams, and biaxial bending moment
Determine normal stresses in structures with combined axial force and bending moment
Calculate shear stress and shear flow in beams
Calculate stress in pressure vessels
Use transformation equations and Mohr’s circle to determine principal stresses and maximum shear stresses
Calculate normal and shear stress in beams subjected to interacting axial, flexural, shear, and torsional loading
Calculate displacement due to bending and use this to analyze indeterminate beams
Compute the elastic buckling capacity of a column

Prerequisites by Topic

Scalar and vector mathematics
Basic concepts of trigonometry and calculus

Course Topics

Normal stress and shear stress, allowable stress, design concepts
Axial loading: normal strain, thermal strain, axial indeterminacy
Poisson effect and Hooke’s law for uniaxial and multiaxial loading
Shear strain
Concepts of fatigue and stress concentration
Torsion: shear stress and strain, angle of twist, torsional indeterminacy
Review shear and moment in beams
Moment of inertia
Bending: normal stress, composite beams
Combined axial and flexural stresses, biaxial bending
Shear stress and shear flow in beams
Normal and shear stress due to combined loadings
Pressure vessels, stress transformation, principal stresses, Mohr’s circle, failure theories
Beam deflections, statically indeterminate beams
Elastic column stability

Laboratory Topics

Interactive problem-solving sessions that reinforce the weekly lecture topics
Stress concentration experiment
Tension and Mohr’s circle experiment
Combined shear, torsion, and bending experiment
Beam flexure experiment
Column buckling experiment

Coordinator
Dr. Edward Sippel

Announcement

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Milwaukee School of Engineering

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CAE 2512 - Mechanics of Materials