Instructors: Panayiotis Charitidis
Course Code: TMC335
Semester: 4ο
Weekly teaching hours: 4
ECTS CREDITS: 5
Prerequisites: Mathematics I & II (Trigonometric functions, vector analysis, deferential and integral calculus)
Course offered to Erasmus students: No
Course URL: https://eclass.duth.gr/courses/ TMC335/
Learning Outcomes:
Learning Outcomes Please describe the learning outcomes of the course: Knowledge, skills and abilities acquired after the successful completion of the course.
Basic Knowledge of Solid Mechanics – Statics and Strength of Materials
General Skills:
This course introduces students to the fundamental principles and methods of structural mechanics. Topics covered include: static equilibrium, force resultants, support conditions, analysis of determinate planar structures (beams, trusses, frames), stresses and strains in structural elements, states of stress (shear, bending, torsion), statically indeterminate systems, displacements and deformations, introduction to matrix methods, elastic stability, and approximate methods. Design exercises are used to encourage creative student initiative and systems thinking. Students are expected to have: An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics.
An ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts.
The student (as a non-specialist) knows the application possibilities and the limitations of the developed models.
An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions.
The student can calculate or design simple practical constructions, taking into account the boundary conditions (e.g. allowable material properties and deformations, type and applying of loads).
COURSE CONTENT:
Solid Mechanics – Statics
1. Introduction to Statics
Mechanics – Basic Concepts
Scalar and Vectors (conventions for equations and diagrams, working with vectors)
Newton’ s Law
2. Statics of Particle and Rigid Bodies
Coplanar Forces and Moments
Forces in Space
Equilibrium of a Particle
Equilibrium of a Rigid Body in a Plane
Forces and Moments in Space
Equilibrium of a Rigid Body in a Space
3. Center of Mass and Centroids – Area Moments of Inertia
Center of Mass (determine the center of gravity, center of mass vs. center of gravity)
Centroids of Lines, Areas, and Volumes
Rectangular and Polar Moments of Inertia
Radius of Gyration
Transfer of Axes
Rotation of Axes
4. Structures
Structural Elements
Joints between Structural Elements
Plane Trusses (simple trusses, truss connections and supports)
Method of Joints (internal and external redundancy special conditions)
Method of Sections (illustration of the method and additional considerations)
Frames (pin joined frames, interconnected rigid bodies with multiforce members, force representation and free body diagram)
5. Beams – External and Internal Effects
Type of Beams and Distributed Loads
Force flow in a member
Diagrams for the normal force, shear force and bending moment (sign conventions for the N, V, and M diagrams)
Deformation symbols for shear forces and bending moments
Strength of Materials
6. Introduction
Normal Stress (σ) and Direct Strain (ε)
Shear Stress (τ) and Shear Strain (γ)
Mechanical Properties of Materials (proportional limit, elastic limit, elastic and plastic ranges)
Ductile and Brittle Material Behaviour
Temperature Stresses
Stress concentrations – Stress Concentration Factor
Allowable Working Stress – Factor of Safety
7. Tension and Compression
Internal Effects of Forces (axially loaded bar, normal stress, test specimen, normal strain, stress – strain curve)
Allowable stress – Safety Factor
8. Shear
Internal Effects of Forces (shear test, shear strain)
Σύνθλιψη άντυγας οπών,
Allowable Working Stress – Safety Factor
9. Stress State – Strain State
Sign Conventions
Rotate Axes
Elastic Materials – Hooke’s Law
Relation Between E, G and v
Principal Stresses – Principal Planes
Maximum Shearing Stress
Mohr’s Circle of Stress
Strains in an Inclined Direction
10. Thin – Walled Pressure Vessels
Internal and External Pressure (hoop or circumferential stress, longitudinal stress, change in dimensions)
Cylindrical Pressure Vessels
Spherical Pressure Vessels
11. Torsion
Simple Torsion Theory
Polar Second Moment of Area, Section of Modulus
Torsional Rigidity
Torsion 0f Hollow Shafts
Torsion of Thin – Walled Tubes
Principal Stresses
Combined Torsion and Axial Loading
12. Bending
Bending Theory – Pure Plane Bending
Neutral Axis, Section of Modulus, Second Moment of Area
Bending Moments and Shearing Forces
Sign Conventions for Bending Moments and Shearing Forces
Maximum Normal Stresses – Limitations
Shearing Force and Bending Moment Diagrams
13. Columns – Stability
Types of Columns
Eccentric Loading
Axial Loaded Compression Members
Buckling – Stability
Critical Buckling Load
Euler’ s Theory – Assumptions
Yield Stress and Buckling Stress, Effective Length and Bracing
Examples – Finite Element Analysis using Comsol Multiphysics, Abaqus and Ansys
SUGGESTED BIBLIOGRAPHY:
1. “Statics and Strength of Materials (Theory – Methodology – Solved Problems “, Α. Polyzakis
2. “Statics and Strength of Materials”, P. Vouthounis
3. “Strength of Materials”, Th. Kermanidis
4. “Engineering Mechanics of Deformable Solids Ι”, P. Vouthounis
5. “Strength of Materials”, Ε. Ε. Gdoutos
6. “Strength of Materials”, Ε. Papamichos and Ν. Ch. Charalampakis
7. “Statics”, Ε. Ε. Gdoutos
8. “Strength of Materials: An Introduction to the Analysis of Stress and Strain”, J. Case and A. H. Chilver
9. “Mechanics of Materials (2nd ed.)”, F. Beer and E. R Johnston, Jr. 10. “Engineering Mechanics: Statics (5th ed.)”, J. L. Meriam and Kraige L. G
11. ” Statics and Strength of Materials: Foundations for Structural Design “, B. Onouye
12. ” Vector Mechanics for Engineers: Statics and Dynamics (9th ed.)”, F. P. Beer, E. R. Johnston, Jr, D. F. Mazurek, P. J. Cornwell and E. R. Eisenberg
13. ” Strength of Materials (2nd ed.)”, R. Subramanian
14. ” Statics and Strength of Materials: Foundations for Structural Design (7th ed.)”, H. Morrow and R. Kokernak
15. “Mechanics of Materials (10th ed.)”, R.C. Hibbeler
16. “Statics and Strength of Materials”, R.C. Hibbeler
17. “Strength of Materials (7th ed.)”, W. Nash and M. C. Potter
18. “Applied Strength of Materials (6th ed.)”, R. L. Mott and J. A. Untener
19. ” Applied Strength of Materials for Engineering Technology (20th ed.)”, B. Dupen