Mechanics of Materials Laboratory Course

Book description

This book is designed to provide lecture notes (theory) and experimental design of major concepts typically taught in most Mechanics of Materials courses in a sophomore- or junior-level Mechanical or Civil Engineering curriculum. Several essential concepts that engineers encounter in practice, such as statistical data treatment, uncertainty analysis, and Monte Carlo simulations, are incorporated into the experiments where applicable, and will become integral to each laboratory assignment. Use of common strain (stress) measurement techniques, such as strain gages, are emphasized. Application of basic electrical circuits, such as Wheatstone bridge for strain measurement, and use of load cells, accelerometers, etc., are employed in experiments. Stress analysis under commonly applied loads such as axial loading (compression and tension), shear loading, flexural loading (cantilever and four-point bending), impact loading, adhesive strength, creep, etc., are covered. LabVIEW software with relevant data acquisition (DAQ) system is used for all experiments. Two final projects each spanning 2‒3 weeks are included: (i) flexural loading with stress intensity factor determination and (ii) dynamic stress wave propagation in a slender rod and determination of the stress‒strain curves at high strain rates.

The book provides theoretical concepts that are pertinent to each laboratory experiment and prelab assignment that a student should complete to prepare for the laboratory. Instructions for securing off-the-shelf components to design each experiment and their assembly (with figures) are provided. Calibration procedure is emphasized whenever students assemble components or design experiments. Detailed instructions for conducting experiments and table format for data gathering are provided. Each lab assignment has a set of questions to be answered upon completion of experiment and data analysis. Lecture notes provide detailed instructions on how to use LabVIEW software for data gathering during the experiment and conduct data analysis.

Table of contents

  1. Preface
  2. Dynamic Data Acquisition and Uncertainty in Measurements
    1. Statistical Treatment of Data and Uncertainty in Measurements
    2. Statistical Data Representation of Infinite Data
    3. Statistical Data Representation for Finite Data
    4. Uncertainty Analysis (1/2)
    5. Uncertainty Analysis (2/2)
    6. Dynamic Data Acquisition
      1. Objective
      2. Background Needed for Conducting the Lab
      3. Prelab Questions
      4. Equipment and Resources Needed
    7. Part 1: Measurement of a Fixed Reference Voltage using the DAQ and LabVIEW
      1. Problem Statement
      2. Why Are We Doing This?
      3. Required LabVIEW Program (VI)
      4. Connections Required
      5. Experimental Task for Part 1
      6. Issues to be Discussed in the Lab Report for Part 1
    8. Part 2: Quantification of Accuracy in Measurements Made by the DAQ
      1. Problem Statement
      2. Why Are We Doing This?
      3. Required LabVIEW Program
      4. Connections Required
      5. Experimental Task for Part 2
      6. Issues to be Discussed in the Lab Report for Part 2
    9. Part 3: Estimation of Strain in an Object Using a Strain Gage
      1. Problem Statement
      2. Why Are We Doing This?
      3. Background
      4. Required LabVIEW VI
      5. Connections Required
      6. Experimental Task for Part 3
      7. Issues to be Discussed in the Lab Report for Part 3
    10. Part 4: Uncertainty Calculations
      1. Problem Statement
      2. Issues to be Discussed in the Lab Report for Part 3
      3. Equipment Requirements and Sourcing
    11. Appendix A: Part 1 – Preparing VI (1/5)
    12. Appendix A: Part 1 – Preparing VI (2/5)
    13. Appendix A: Part 1 – Preparing VI (3/5)
    14. Appendix A: Part 1 – Preparing VI (4/5)
    15. Appendix A: Part 1 – Preparing VI (5/5)
    16. Appendix B: Lab Report Format
      1. Abstract
      2. Index Terms
      3. Introduction
      4. Procedure
      5. Results
      6. Discussion
      7. Conclusion
      8. References
      9. Appendices
      10. General Format
  3. Design and Build a Transducer to Measure the Weight of an Object
    1. Cantilever Beam, Strain Gages, and Wheatstone-Bridge
    2. Cantilever Beam Theory
    3. Strain Gages and Wheatstone-Bridge
      1. Strain Gage Theory
      2. Wheatstone-Bridge (1/2)
      3. Wheatstone-Bridge (2/2)
    4. Calibration of the Transducer
    5. Determine the Weight of the Bottle Using the MOM Method
    6. Quantify Uncertainty
      1. Calibration Curve Method (CCM)
    7. Use of Multiple-Strain Gages on the Cantilever Beam and in the Wheatstone-Bridge
      1. Half-bridge (1/2-Bridge)
      2. Full-bridge
    8. Micrometer
    9. Cantilever Beam, Strain Measurement, and Uncertainty
      1. Objective
      2. Prelab Preparation
      3. Equipment and Supplies Needed
      4. Problem Statement
      5. Required LabVIEW Program (VI)
      6. Experimental Task
      7. Issues to be Discussed in the Lab Report
      8. Equipment Requirements and Sourcing
    10. Appendix: Monte Carlo Simulation to Estimate Uncertainty in a Linear Fit
  4. Stress–Strain Response of Materials
    1. Introduction
    2. Tensile Stress–Strain Response of Materials
      1. Load-based Stress–Strain Curve
      2. Displacement-based Stress–Strain Curve
      3. Tensile Response of Materials
    3. Uncertainty in Stress, Strain, and Elastic Modulus
      1. Uncertainty in Stress
      2. Uncertainty in Strain U_
      3. Uncertainty in Elastic Modulus (Monte Carlo Simulations)
    4. Load Controlled Tensile Testing of a Metallic Wire
      1. Objective
      2. Before Lab
      3. Prelab Questions
      4. Equipment and Supplies Needed
      5. Problem Statement
      6. Required LabVIEW Program (VI)
      7. Connections Required
      8. Experimental Task
      9. Issues to be Discussed in the Lab Report
      10. Principal Equipment Requirements and Sourcing
    5. Displacement-Controlled Tensile Testing of Materials
      1. Objective
      2. Before Lab
      3. Equipment and Resources Needed
      4. Problem Statement
      5. Experimental Task
      6. Issues to be Discussed in the Lab Report
      7. Principal Equipment Requirements and Sourcing
  5. Thin-walled Pressure Vessels
    1. Thin-walled Pressure Vessel and Strain Rosette
      1. Introduction
    2. Theory of Strain Rosette
    3. Stress–Strain Relationships
    4. Theory of Thin-walled Pressure Vessel (1/2)
    5. Theory of Thin-walled Pressure Vessel (2/2)
    6. Uncertainty Calculations (From Hoop Stress)
    7. Strain Rosette Bonding and Determination of Pressure in a Beverage Can
      1. Objective
      2. Equipment and Supplies Needed
      3. Experimental Task
      4. Equipment Needed
      5. Required LabVIEW Program (VI)
      6. Experimental Task
      7. Issues to be Discussed in the Lab Report
      8. Principal Equipment Requirements and Sourcing
  6. Strength of Adhesive Joints
    1. Shear Strength of Adhesive Joints
      1. Introduction
    2. Double Lab Shear Testing of Adhesives
      1. Objectives
      2. Prelab Question
      3. Equipment and Resources Needed
      4. Experimental Tasks
      5. Issues to be Discussed in the Lab Report
  7. Creep Behavior of Metals
    1. Introduction
    2. Mechanism of Creep
    3. Creep Behavior of a Metallic Wire
      1. Objective
      2. Prelab Questions
      3. Background Needed for Conducting the Lab
      4. Equipment Needed
      5. Problem Statement
      6. Required LabVIEW Program (VI)
      7. Experimental Task
      8. Issues to be Discussed in the Lab Report
      9. Principal Equipment Requirements and Sourcing
  8. Charpy Impact Testing
    1. Motivation
    2. Theory of Charpy Impact Testing
      1. Wind Resistance and Frictional Losses
      2. Monitoring of Forces During Impact
      3. Determination of F_impact
    3. Charpy Impact Testing
      1. Objective
      2. Background
      3. Prelab Question
      4. Equipment Needed
      5. Required LabVIEW Program (VI)
      6. Problem Statement
      7. Experimental Procedure
      8. Issues to be Discussed in the Lab Report
      9. Equipment Requirements and Sourcing
  9. Flexural Loading, Beam Deflections, and Stress Concentration
    1. Stress in a Beam
    2. Bending Moment Diagram
      1. Simply Supported Beam
      2. Simply Supported Beam with Two Forces Acting at Equidistant from End Supports
    3. Stress Concentration
    4. Beam Deflections (1/2)
    5. Beam Deflections (2/2)
    6. Measurement of Stress, Deflection, and Stress Concentration
      1. Objective
      2. Background Required for Conducting the Lab
      3. Equipment and Resources Needed
      4. Four-Point Bending Apparatus with Instrumented Beam
      5. Typical Wiring for Strain Gages and Load Cell
    7. Development of Lab Goals and Procedure
      1. Objective
      2. Why Are We Doing This?
      3. Connections Required
      4. Required LabVIEW Program (VI)
      5. Instructions
      6. Issues to be Discussed in the Lab Report
      7. Equipment Requirements and Sourcing
  10. Wave Propagation in Elastic Solids and Dynamic Testing of Materials
    1. Motivation
    2. Basic Concepts of Wave Propagation
    3. 1D Stress Wave Propagation in a Slender Rod
    4. Wave Reflection at a Free-end
    5. Wave Reflection at a Fixed-end (rigid)
    6. Measurement of Stress Wave Duration and Amplitude
    7. Wave Transfer Through a Boundary Between Two Similar Rods
    8. Dynamic Stress–Strain Response of Materials
    9. Wave Propagation and High Strain Rate Material Behavior
      1. Objectives
      2. Equipment and Resources Needed
      3. Experimental Task
      4. Issues to be Discussed in the Lab Report
      5. Equipment Requirements and Sourcing
  11. Authors' Biographies
  12. Blank Page (1/4)
  13. Blank Page (2/4)
  14. Blank Page (3/4)
  15. Blank Page (4/4)

Product information

  • Title: Mechanics of Materials Laboratory Course
  • Author(s): Ghatu Subhash, Shannon Ridgeway, Kristin B. Zimmerman
  • Release date: April 2018
  • Publisher(s): Morgan & Claypool Publishers
  • ISBN: 9781681733340