MECH-212: Mechanics of Materials
Prof. Arnaldo Mazzei – amazzei@kettering.edu ; www.kettering.edu/~amazzei
Required core course
2010 Catalog Data: Credit: 4-0-0-4;
Prerequisite: MECH-210: Statics (previously, Mechanics I)
The fundamental topics of this course include: normal and shear stress and strain, Hooke’s law,
Poisson’s ratio, generalized Hooke’s law, axial deformation, torsion of circular bars, angle of
twist, bending of beams, flexure formula, flexural shear stress, beam deflections, combined
stresses, transformation of stresses, Mohr’s circle (principal stresses), statically indeterminate
problems, and columns. Homework will be assigned. Design related projects may also be
assigned.
Textbook(s): “Mechanics of Materials”, By F. P. Beer, E.R. Johnston, and J.T DeWolf, McGrawHill, 5th Edition, 2008, ISBN 978-0-07-352938-7 ,"Mechanics of Materials"; by W. Riley, L. Sturges and
D. Morris; Wiley, 6th ed.,2007,ISBN 978-0-471-70511-6
Course Learning Objectives:
Objective 1: Apply the principles of Statics to determine the forces and moments on load carrying members.
[ME PO’s a (35%), c (30%), e (30%), and i (5%)]
Objective 2: Analyze the stresses in load carrying members due to axial forces, bearing forces, torsional
moments, bending moments and shear forces. [ME PO’s a (35%), c (30%), e (30%), and k
(5%)]
Objective 3: Analyze the combined stresses in load carrying members due to axial forces, torsional
moments, and bending moments acting together. [ME PO’s a (35%), c (25%), e (30%), and k
(10%)]
Objective 4: Determine the deflection of load carrying, members due to axial loads, torsional moments and
bending moments. [ME PO’s a (35%), c (30%), e (30%), and k (5%)]
Objective 5: Objective 5: Apply the principles learned from the objectives 1 through 4 to perform basic
analysis and sizing of different structural members. [ME PO’s a (25%), c (25%), d (10%), e
(25%), k(5%, p(10%)]
Prerequisites by topic:
1.
2.
3.
4.
5.
Rigid body equilibrium and free body diagrams
Centroids, Center of Gravity
Internal forces in structural members
Moments of inertia
Basic computer skills
Topics:
•
•
•
Review of Statics – Internal Forces
Concepts of Stress and Strain: Hooke’s Law
Concepts of Stress, Deformation and safety factor as applied to:
o
Axial Loading (uniform and stepped bars), and
•
•
•
o
Torsion Loading (uniform and stepped bars)
o
Horse power calculations
o
Applications
Statically Indeterminate Problems as applied to:
o
Axial loading (uniform and stepped bars)
o
Effect of temperature (thermal stresses) in axial loading
o
Applications
Concepts of Bending Stress, deflection and safety factor as applied to:
o
Transverse Loading (Pure Bending) (uniform section bars with concentrated
as well as distributed loads)
o
Shear Force and Bending Moment Diagrams for the above
o
Deflection of beams for simple loading by superposition (using deflection
tables)
o
Applications
Transformations of stresses and Combined Loading:
o
Mohr’s circle for plane stress and determination of principal stresses
o
Equivalent stress using yield criterion
o
Applications (thin-walled cylinders, crankshaft example)
Optional topics:
•
•
•
•
•
•
•
Effects of Stress Concentration in axial, torsion and transverse loadings
o
Applications
Statically Indeterminate Problems as applied to:
o
Torsion loading (uniform and stepped bars)
o
Applications
Transverse (Flexural) Shear effect
o
Applications
Strain analysis by Mohr’s principle and strain rosettes
o
Applications
Euler Buckling (long slender rods)
o
Applications
Simple failure theory
Other topics
Grading Policy:
Homework/Classwork
Midterms
Common hour final exam
20% (HW – 10%, CW – 10%)
50% (test
01 and
– 05/06/10,
test 02
06/04/10)
test 01
test 02 (date
to–be
determined)
30% (date to be determined)
Schedule: Two sessions per week of 120 minutes
Computer usage: Basic Computer Skills (MathCAD/Working Model/Excel/MS-Word/or
equivalent program)
Laboratory projects: May include computer based design projects
Relationship to professional component: Four credits of 100% Engineering Science.