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Course Description :

Concept of stress and strain, axial loading, Hooke’s law, members deformation under axial loading, torsion, design of transmission shafts, pure bending, analysis and design of beams for bending, deflection of beams, energy methods of structural analysis, and Castigliano’s theorem.

Course Objectives :

The main objective of this course is to provide future aeronautical engineers with the means of analyzing and designing various load bearing structures. Students will learn to analyze the stresses and deformations of various structural components subjected to axial loading, torsion and bending as well as its application to the design of simple structures.

Course Intended Learning Outcomes :

By the end of this course, the student will be able to:
  1. Use the Stress-Strain diagram for ductile as well as brittle materials and the mechanical properties associated with it.
  2. Analyze bars under mechanical and thermal loadings.
  3. Analyze the stresses and strains in members of circular cross section subjected to torsion.
  4. Analyze the stresses and strains in prismatic members subjected to bending.
  5. Identify different types of structural loading.
  6. Use the shear and bending-moment diagrams for beams subjected to various supports and loading conditions to calculate the maximum normal stress due to bending.
  7. Determine the deflection of a beam under a given bending loading.
  8. Determine the strain energy in simple structures for normal stresses and shearing stresses.
  9. Apply the work and energy method to analyze simple structures.

References :

Textbook Required
Mechanics of Materials 9th Edition, R. C. Hibbeler, PEARSON 2013. ISBN: 978-981069436-4.
Recommended Reading
Mechanics of Materials 6th Edition, beer, Johnston, and DeWolf, McGraw Hill. 2011, ISBN: 978-0073380285.
Mechanics of Materials, 2nd Edition, E P Popov, Prentice Hall 1976, ISBN: 978-0135713563.
Mechanics of Materials 7th Edition SI, JM Gere and SP Timoshenko, Stanly Thornes 2008, ISBN: 978-0534553975.
Mechanics of Engineering Materials, 2nd Edition, PP Benham, RJ Crawford, & CG Armstrong, Longman 1996, ISBN: 978-0582251649.
Other Resources:
Library resources, Internet search of periodicals.

Topics and Schedule :

Week #
Practice and Assessment
Introduction – Concept of Stress and Strain:* Introduction
  • Stresses in the members of a structure
  • Deformation and Strain
  • Stress-strain diagram
  • Hooke’s law

Stress and Strain – Axial Loading:
  • Deformations of members under axial loading
  • Statistically indeterminate structures
  • Problems involving temperature change.
  • HW#1
  • Multiaxial loading; generalized Hooke’s law
  • Further discussion of deformations under axial loading; relation among E, n, and G
  • Stress concentrations
  • HW#2
Torsion:* Introduction
  • Preliminary discussion of the stress in a shaft
  • Deformations in a circular shaft
  • Stresses in the elastic range

  • HW#3
  • Angle of twist in the elastic range
  • Statically indeterminate shafts
  • HW#4
Pure Bending:
  • Introduction
  • Symmetric members in pure bending
  • Deformations in a symmetric member in pure bending
  • Stresses and deformations in the elastic range

  • First Midterm
  • First Project Follow up Report
  • HW#5
  • Deformations in a transverse cross section
  • Bending of members made of several materials
  • HW#6
Analysis and Design of Beams for Bending:* Introduction
  • Shear and bending moment diagrams

  • HW#7
  • Shear and bending moment diagrams
  • Relations among load, shear, and bending moment
  • Design of prismatic beams for bending.

  • HW#8
Deflection of Beams:* Deformation of a beam under transverse loading
  • Equation of the elastic curve
  • Statically indeterminate beams
  • Method of superposition and its application to statically indeterminate beams.
  • HW#9
  • Statically indeterminate beams
  • Method of superposition and its application to statically indeterminate beams.
  • Second Midterm

  • HW#10
  • Beams subject to initial deflections
  • HW#11
  • Beam design

  • Second Project Follow up Report
  • HW#12
  • 1-D structures subject to combined loading
  • Project Delivery
  • HW#13