ESM5134: Mechanics of Deformable Bodies
Fall 2010
Virginia Tech
College of Engineering
Text
Mechanics of Materials, Second Edition (1992), by F.P. Beer and E. R.
Johnston, Jr.
Prerequisite:
ESM 1004 : Statics
Note: Students cannot take this course without the prerequisite.
Students who do not have the prerequisite will be dropped from the class roll.
CONCEPTS TO BE INTRODUCED TO THE STUDENT
- Stress (normal, shear, bearing)
- Factor of safety
- Strain (normal, shear)
- Stress-strain relationships and material properties
- Axially loaded members (statically determinate and indeterminate)
- Stress concentrations
- Torsionally loaded members (statically determinate and indeterminate)
- Area moment of inertia
- Bending of beams (statically determinate and indeterminate)
- Shear and moment diagrams
- Stresses due to combined loading
- Transformation of stress (equations and Mohr's circle)
- Beam deflections (statically determinate and indeterminate)
- Axially loaded columns
THE STUDENT SHALL BE ABLE TO:
- Define, where appropriate, terms in CONCEPTS stated above.
- Give the dimensions and units associated with terms in the above
CONCEPTS.
- Calculate stress (normal, shear, or bearing) in a structure or
machine component loaded in a given fashion.
- Use stress concentration factors to find stresses in, or allowable
loads on, axially loaded members.
- Calculate normal and shearing strains/deformations for bodies
subjected to loads and/or temperature changes.
- Design members using criteria based on strength and/or deformation.
- Solve statically indeterminate problems subjected to one or a
combination of axial, torsion and bending loads.
- Apply Hooke's Law in one-, two-, and three-dimensions.
- Determine stresses and/or deformations in a circular member
subjected to torsional loading (statically determinate and
indeterminate).
- Draw shear and moment diagrams for beams subjected to some
combination of concentrated loads, distributed
loads, and concentrated moments.
- Calculate normal and shearing stresses in beams.
- Calculate stresses in thin-walled pressure vessels.
- Solve problems using the stress transformation equations and Mohr's
circle.
- Determine the deflections of statically determinate and
indeterminate beams using double integration and
superposition. Also, find support reactions for statically indeterminate beams.
- Apply Euler's equation to solve buckling problems for various end
conditions.
PERSONAL COMPUTER APPLICATIONS
The instructor will assign several "computer oriented" problems during
the semester. These computer oriented problems will require computations to the
degree that will necessitate the use of a computer. The choice of computer
system, language, and software, for working these problems, is left to the
student. Note that these problems are mechanics problems: Therefore,
the solution should be set up (in pencil and paper) in a manner consistent with
regular problem solutions. The computer use will normally come only after the
principles have been applied and the problem has been reduced to one of number
manipulation, plotting, etc. The computer should be viewed only as a tool to
accomplish the computations necessary for a solution. The completed problem
should include the normal problem analysis, written in the standard solution
format, plus all the computer work.
DESIGN PROBLEMS
Several design-type problems will be assigned throughout the semester (as part of
the homework assignments). These problems are designated as design problems on
the day-by-day homework assignment sheet.
COMMON-TIME EXAMINATION
The mechanics of deformable bodies exam is a common exam, given at a
common-time, for all students taking this course.
The common-time for the exam is: Friday, December 8, 1995,
4:25 p.m. - 6:25 p.m..
(Classroom assignments for this common-exam will be announced.)
Virginia Tech
College of Engineering
Engineering Science & Mechanics 2004
Fall 1995
http://www.sv.vt.edu/class/ESM2004/ESM2004.info.html