Statics and Strength of Materials

Code: mk3stszg04xx17-en
ECTS Credit Points: 6
Evaluation: mid-semester grade
Year, Semester: 1th year, 1th semester
Its prerequisite(s): -
Further courses are built on it: Yes/No
Number of teaching hours/week (lecture + practice): 2+2

Topics:

Introduction to engineering mechanics. Newton’s laws of motion. Force, moment, and couples. Statics of a particle. Statics of rigid body. Planar force systems. Statics of planar structures. Internal force systems of rigid bodies. Loading of beams (cantilevers, freely supported beams, fraction lined beams). Determination of stress resultant diagrams (normal force, shear force and bending moment diagrams). Statically determined beam structures (hinged-bar systems, compound beams, truss systems). Fundamentals of Strength of Materials. Physical interpretation of strain terms. State of deformation. State of stresses. Constitutive equation (Hooke’s law). Simple loadings (tension, compression, bending, torsion, shear). Sizing methods. Mohr’s circle. Combined loadings (tension and bending, inclined bending, excentrical tension, tension and torsion, bending and torsion). An introduction to the finite element method.

Literature:
Compulsory:

  • Russel C. Hibbeler (2006): Engineering Mechanics – Statics and Dynamics, Prentice Hall, 2006. Isbn-13 9780132215091
  • Ladislav Cerny (1981): Elementary Statics and Strength of Materials, McGraw-Hill, Isbn 0070103399, 9780070103399
  • László Kocsis (1988): Brief Account of the Lectures of Mechanics, Strength of Materials, Bme
  • Ferdinand P. Beer, E. Russel Johnston, Jr., John T. DeWolf (2006): University of Connecticut Mechanics of Materials, 4th Edition, © 2006, Isbn-13 9780073107950

Recommended:

  • Stephen Timoshenko (1955): Strength of Materials: Elementary Theory and Problems, Van Nostrand
  • Jacob Pieter Den Hartog (1961): Strength of Materials, Courier Dover Publications, Isbn 0486607550, 9780486607559
1st week 8th week
Registration week 1st drawing week
2nd week 9th week
Lecture: Mathematical preliminaries (vector-, matrixalgebra). Introduction to engineering mechanics. Statics of a particle
Practice: Calculation the resultant of 2 and 3 dimensional force systems acting on particles.
Lecture: Fundamentals of Strength of Materials. Displacement-, strain- and stress field. Constitutive equation (Hooke’s law).
Practice: Practical examples for strain and stress calculations.
3rd week 10th week
Lecture: Statics of rigid bodies. Moments. Equilibrium state of a rigid body. Planar force systems.
Practice: Calculation of moments. Examples for equilibrium state of rigid bodies and for planar force systems.
Lecture: Simple loadings I: tension, compression and bending of prismatic beams. Fundamentals of sizing and control.
Practice: Practical examples for tension, compression and bending.
4th week 11th week
Lecture: Statics of planar structures. Supports and reaction forces.
Practice: Practical examples for the determination of the reaction forces of statically determined structures.
Lecture: Simple loadings II: torsion of prismatic beams with circular and ring cross sections. Mohr’s circle. Shear.
Practice: Practical examples for torsion and shear.
5th week 12th week
Lecture: Internal force systems of rigid bodies. Loading of beams.
Practice: Practical examples for the determination of the normal force, shear force and bending moment functions of beams.
Lecture: Combined loadings I: tension and bending, inclined bending, excentrical tension.
Practice: Practical examples for combined loadings.
6th week 13th week
Lecture: Determination of stress resultant diagrams of beams.
Practice: Practical examples for the determination of the normal force, shear force and bending moment diagrams of beams.
Lecture: Combined loadings II: tension and torsion, bending and torsion. Sizing methods.
Practice: Practical examples for combined loadings.
7th week 14th week
Lecture: Statically determined beam structures.
Practice: Analysis of hinged-bar systems and truss systems. 1st test.
Lecture: The finite element method.
Practice: Case studies for numerical calculation of engineering structures. 2nd test.
15th week  
2nd drawing week  

Requirements
A, for a signature:
Attendance at lectures is recommended, but not compulsory. Participation at practice is compulsory. Students must attend the practice classes and may not miss more than three times during the semester. In case a student does so, the subject will not be signed and the student must repeat the course. Students can’t make up a practice class with another group. Attendance at practice classes will be recorded by the practice leader. Being late is counted as an absence. In case of further absences, a medical certificate needs to be presented. Missed practices should be made up for at a later date, being discussed with the tutor. Students are required to bring the drawing tasks and drawing instruments to the course with them to each practice class. Active participation is evaluated by the teacher in every class. If a student’s behaviour or conduct doesn’t meet the requirements of active participation, the teacher may evaluate his/her participation as an absence because of the lack of active participation in class.
During the semester there are two tests: the 1st test in the 7th week and the 2nd test in the 14th week. Students have to sit for the tests.

B, for a grade:
The course ends in a mid-semester grade based on the test results.
The minimum requirement for both mid-term and end-term tests is 50%. Based on the score of the tests separately, the grade for the tests is given according to the following table:

Score=Grade
0-39 = fail (1); 40-52 = pass (2); 52-63 = satisfactory (3); 64-71 = good (4); 72-80 = excellent (5)
If the score of the sum of the two tests is below 40, the student once can take a retake test of the whole semester material.

Last update: 2023. 10. 16. 15:11