CEVE – MECH 311 Mechanics of
Solids
Spring 2006
Duncan
Hall 1064 MWF 10:00 to 10:50 am
Instructor: Prof. S. Nagarajaiah
Dept. of
Civil & Env.
216
Ryon
713-348-6207
Course Description: Analysis of stress and
deformation of solids with applications to bars, beams, and columns. Study of engineering
properties of materials. Applying equilibrium,
compatibility, and force-deformation relationships to structural elements.
Introduction to flexibility and stiffness method of
structural analysis.
Prerequisite: CEVE
211
Corequisite: None
Knowledge Prerequisite: Basic knowledge of
fundamentals of engineering mechanics, particularly statics, equilibrium forces
and moments, and analysis of simple trusses and beams.
Textbook: Gere and Timoshenko, Mechanics of Materials, Sixth Edition,
Thomson
Grading Policy:
Home Work –
20 %
Class
participation – 5
%
First Exam –
25 %
Second Exam – 25 %
Final Exam –
25 %
Homework Policy:
Homework assigned during the week is due Friday. Homework submitted
late
will receive partial grade at the discretion
of the instructor.
Course Topics:
Stress, Strain,
Mechanical Properties of Materials
Normal stress and strain; Mechanical properties of
materials; Elasticity, inelasticity, and plasticity; Linear elasticity, Hooke’s
law, and Poisson’s ratio; Shear stress and strain; Allowable stresses and
allowable loads; Design for axial loads and direct shear
Axially
Loaded Members, Axial Stress and Strain, Strain Energy
Stiffness and flexibility of bars; Changes in length of
uniform and nonuniform bars; Statically indeterminate
bars; Stresses on inclined sections; Strain energy; Nonlinear behavior and elastoplastic analysis; Design for axial loads
Torsion
of Circular Bars, Nonuniform Torsion, Strain Energy
Torsion of circular bars; elastic and inelastic bars;
Design for uniform and nonuniform torsion; Stresses
and strains on inclined sections due to torsion; Statically
indeterminate torsional members
Beams,
Normal
Bending moments and shear forces; Normal stresses in beams;
moment curvature relationship; flexure formula; Design of beams for bending
stresses; Shear stresses in beams of rectangular sections and I-sections;
Design of beams with eccentric axial load
Analysis
of Stress and Strain, Mohr’s Circle
Plane stress; principal stresses and maximum shear stresses;
Mohr’s circle for plane stress; Plane strain; principal strains and maximum
shear strains; Mohr’s circle for plane strain
Deflection of Beams
Moment area method
Introduction to Analysis of Statically
Indeterminate Beams
Method of superposition
Introduction to Stiffness and Flexibility Methods
of Structural Analysis
Stiffness (Displacement) method
Flexibility (Force) Method
Structural analysis using MATLAB,
Buckling and Stability
of Columns
Buckling; critical load, critical stress
CEVE 311 Course Objectives and Outcomes
Course Objectives:
The objective of
CEVE 311 is to learn the fundamental concepts of stress, strain, and
deformation of solids with applications to bars, beams, and columns. Detailed
study of engineering properties of materials is also of interest. Fundamentals
of applying equilibrium, compatibility, and force-deformation relationships to
structural elements are emphasized. The students are introduced to advanced concepts of flexibility and
stiffness method of structural analysis. The course builds on the fundamental concepts of engineering
mechanics course (CEVE 211). The students will:
1.
Gain
a fundamental understanding of the concepts of stress and strain by analysis of
solids and structures
2.
Study
engineering properties of materials, force-deformation, and stress-strain
relationship
3.
Learn
fundamental principles of equilibrium, compatibility, and force-deformation
relationship, and principle of superposition in linear solids and structures
5.
Determine
stress, strain, deformation of bars, trusses, and beams; stress and strain
transformation
6.
Learn
the fundamental concepts of the method of superposition, flexibility method,
and stiffness method as applied to problems involving statically determinate
and indeterminate axial and torsional members, and beams
7.
Be
able to perform structural analysis by hand computations and by using computer
software and design axial and torsional members, bolts, trusses, and beams
Course Outcomes:
Students successfully completing CEVE 311
course will have a clear and thorough understanding of the fundamental concepts
of mechanics of solids and structures and basic analysis and design skills. The
students will have the ability to perform stress, strain, force and deformation
analysis by hand and by modern computer software based on stiffness method. The
students will be able to or have:
1.
Fundamental
understanding of the concepts of stress and strain in mechanics of solids and
structures and material properties
2.
Apply
the fundamental concepts of principle of superposition, equilibrium,
compatibility, force-deformation, and stress-strain relationships to the solid
and structural mechanics problems
3.
Analyze
determinate and indeterminate bars, beams, and determinate trusses to determine
axial forces, torques, shear forces, and bending moments
4. Physical insight into distribution of
stresses and strains in structural members by determining stress, strain, and
deformation of bars, trusses, and beams, and performing stress and strain
transformations
5.
Basic
understanding of the method of superposition, flexibility method, and stiffness
method as applied to statically determinate and indeterminate axial and
torsional members, and beams
6. The ability to design structural members
given the dimensions, material properties such as force-displacement
relationships, boundary conditions, loading, allowable stresses, and factor of
safety
7.
Perform
structural analysis using computer software and document analysis results,
write detailed assessments, and communicate findings
Contribution to Meeting the Professional Component:
Engineering
Content, 100%, 3 credit hours
This is a
required course.