Academic Catalog

ASE361 APPLIED ELASTICITY

Course Code: 3840361
METU Credit (Theoretical-Laboratory hours/week): 3(3-0)
ECTS Credit: 5.0
Department: Aerospace Engineering
Language of Instruction: English
Level of Study: Undergraduate
Course Coordinator: Assist.Prof.Dr ANNA PRACH
Offered Semester: Fall Semesters.
Prerequisite: Set 1: 3840264
The course set above should be completed before taking ASE361 APPLIED ELASTICITY .

Course Content

Generalized theory of pure bending. Unsymmetric loading of beams and shear center. Shear stresses in beams of thin walled open sections. General theory for shear stresses, analysis of statically indeterminate beams. Stress, stress tensor, variation of stress within a body. 3-D stress equilibrium equations, definitions of plain stress and plain strain, three dimensional stress at a point. Transformation of stress, principal stresses in 3D, normal and shear stresses on an oblique plane. Strain displacement relations, strain compatibility equations. State of strain and transformation of strain, measurement of strain. Generalized Hookes law. General solution of torsion problem. Prandlts membrane analogy, torsion of thin-walled members of open cross sections, torsion of multiply connected thin walled sections. Fluid flow analogy. Warping function. Significance of torsion in open section thin walled members. 2-D problems in elasticity: plane stress and plane strain problems, stress function and applications. Equations of elasticity in polar coordinates. Stress concentrations and thermal stresses. Thick walled cylinders, compound cylinders. Rotating disks of constant thickness. Thermal stresses in thin disks.