CEVE-MECH 311 Mechanics of Solids (3 credit hours)

Spring 2010

Ryon 201 HZ 11:00 am to 12:15 pm

Instructor: Professor Satish Nagarajaiah

Department of Civil and Environmental Eng.

Department of Mechanical Eng. and Material Science

213 Ryon

713-348-6207

nagaraja@rice.edu

Office Hours: MW 4:00 to 5:00 PM

Course Analysis of stress and deformation of solids with applications to bars, beams,

Content: 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/MECH 211

Textbook: Gere and Timoshenko, Mechanics of Materials, Sixth Edition,

Thomson, Brooks & Cole

Grading Policy:

Home Work – 20 %

Class participation - 5 %

First Exam – 25 %

Second Exam – 25 %

Final Exam – 25 %

Homework Policy:

Homework assigned during a week is due the following Monday. Homework submitted late will receive partial grade at the discretion of the instructor.

ADA

If you have a documented disability that will impact your work in this class, please contact me to discuss your needs. Additionally, you will need to register with the Disability Support Services Office in the Ley Student Center. 713/348-5841; www.dss.rice.edu

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 Stresses, Shear Stresses

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/ MECH 311 Course Objectives and Outcomes

Course Objectives:

The objective of 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 (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

4. Analyze determinate and indeterminate axial members, torsional members, and beams, and determinate trusses to determine axial forces, torque, shear forces, and bending moments

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 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

CEVE 312 Strength of Materials Laboratory (One Credit Hour)

Spring Semester 2009

Ryon 201 – Tuesday 2:30 to 5:30 pm

Instructor : Professor Satish Nagarajaiah

Department of Civil and Environmental Engineering

213 Ryon Laboratory

713-348-6207

nagaraja@rice.edu

Laboratory Technician:             Albert Daniel Neumann

Albert.D.Neumann@rice.edu

                                                107 Ryon Engineering Lab

713-348-4335

Laboratory Assistants :            Chaojun Huang

Chaojun.Huang@rice.edu

Venkata Srivishnu Mohan Vemuru

Srivishnu.Mohan.V.Vemuru@rice.edu

Office Hours : TBA

Prerequisite : Concurrent or previous enrollment in CEVE/MECH 311

Course Content : Instruction in standard tension, compression, and torsion tests of ferrous, nonferrous metals, and concrete. Includes experimental techniques and application of strain gauges and study of beams and columns.

Textbook : James M. Gere, Mechanics of Materials, Sixth Edition

Grading Policy : Laboratory Reports 100%

Laboratory Report due date will be announced in class. Report submitted late will receive partial grade at the discretion of the instructor.

ADA

If you have a documented disability that will impact your work in this class, please contact me to discuss your needs. Additionally, you will need to register with the Disability Support Services Office in the Ley Student Center. 713/348-5841; www.rice.edu/dss

TOPICS:

•          Data Analysis (1 class)

•          Determination of natural frequency of structural models (1 class)

•          Buckling of Columns (1 class)

•          Testing of beams (1 class)

•          Testing of truss and frame (1 class)

•          Tensile tests of Steel, Aluminum, and Copper Bars (1 class)

•          Proportioning of concrete mixes and compressive, split cylinder, and flexural tests on concrete (2 classes)

•          Determination of the beam deflection equation for a simply supported beam (1 class)

•          Flexural and shear failure of a wooden beam (1 class)

•          Techniques in applying electrical resistance strain gages and methods of making measurements (2 classes)

•          Strain Measurements (1 class)

LABORATORY REPORTS:

Laboratory reports should consist of the following:

1.         Title Page showing the name of the experiment, date performed, name of the student(s) submitting the report.

2.         Abstract involving overview of the objectives, procedure, the results of the experiment and main conclusion.

3.         Table of Contents

4.         Objectives –A brief description of the objectives of the experiment.

5.         Procedure –A description of the actual techniques, equipment and procedure used.

6.         Results –Presentation of test results. Results are to be tabulated if necessary. Actual data need not be presented here.

7.         Discussion –Should contain an explanation of calculations and results. Compare results with expectations, and suggest possible sources of error, if relevant.

8.         Conclusions –A brief summary of the experimental results in relation to the original objectives of the experiment.

9.         References

10.       Appendix –Data and sample calculations must be presented.

All parts of the report must be typed using a word processor*.

COURSE OBJECTIVES

CEVE 312 is a sophomore level laboratory course for engineering students designed to demonstrate behavior of materials and structural elements using experiments. The objectives of the course are as follows:

1.         Learn experimental techniques

2.         Determine mechanical properties of materials by experiments

3.         Learn behavior of structural elements by experiments

4.         Learn to analyze and synthesize test results, write individual and group reports incorporating experimental data,

 graphs, assessment of results, and conclusions

COURSE OUTCOMES

CEVE 312 has the following outcomes. Students completing the course will have:

1. Ability to design and conduct experiments, acquire data, analyze and interpret data

2. Ability to determine the behavior of ferrous and nonferrous metals subjected to normal and shear stresses by means

    of experiments

3. Ability to determine the behavior of structural elements, such as bars, beams and columns subjected to tension,

    compression, shear, bending, and torsion by means of experiments

4. Physical insight into the behavior materials and structural elements, including distribution of stresses and strains,

    deformations and failure modes

5.  Write individual and group reports: present objectives, describe test procedures and results, synthesize and discuss

     the test results, present conclusions