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2024-2025 Undergraduate Academic Catalog-June
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CAE 2512 - Mechanics of Materials

3 lecture hours 0 lab hours 3 credits
Course Description
This course explores the concepts of stress, strain, and deflections in elastic bodies. This includes evaluation of statistically determinate and indeterminate structures subjected to axial and torsional loading. Generalized Hooke’s Law and mechanical properties are discussed. Beam behavior is analyzed for normal stresses, shear stresses, and deflection. Stress transformations and principal stresses are calculated by Mohr’s circle. Combined loading and elastic buckling of columns is covered.
Prereq: CAE 2511  (quarter system prereq: MA 137, PH 2011, AE 200)
Note: Students may not receive credit for both CAE 2512 and MEC 2030 .
This course meets the following Raider Core CLO Requirement: None
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, shear, strain, and angle of twist, due to torsional loadings in determinate and indeterminate structures
  • Determine flexural normal stresses in beams, including ordinary and composite beams
  • Determine normal stresses in structures with combined loading
  • 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
  • Review 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
Coordinator
Dr. Edward Sippel, P.E.


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