t.BA.MT.FL2.19HS (Strength of Materials 2) 
Module: Strength of Materials 2
This information was generated on: 28 March 2024
No.
t.BA.MT.FL2.19HS
Title
Strength of Materials 2
Organised by
T IMES
Credits
2

Description

Version: 3.0 start 01 February 2024
 

Short description

Students learn to calculate stresses due to bending in simple and composed cross-sections and to determine the bending lines of statically determinate and indeterminate single and multi-field beams as well as to calculate stresses and deformations due to torsion. Finally, an introduction to the topic of transverse shear in case of bending is given.

Module coordinator

Ralf Pfrommer (pfro)

Learning objectives (competencies)

Objectives Competences Taxonomy levels
Can write down and integrate the differen-tial equation of the deflection curve and can explain the quantities without any aids F, M K4
Can define the deflection curve of statically determined beams under different support and loading conditions F, M K4
Can define the deflection curve of statically undetermined beams under different support and loading conditions F, M K4
Can superimpose deflection curves in order to calculate support reaction forces of statically undetermined beams F, M K4
Is able to calculate deformation and stress of circular shafts and thin walled profiles under torsional loading F, M K4
Can determine shear stress distributions on short bending beams for simple cross-sections and calculate riveted and bonded beams. F, M K4
Can calculate bending stresses of simple and composed cross-sections and determine the main axes of a cross-section. F, M K4

Module contents

1.    Stress due to bending

1.1    Introduction to the calculation of bending stresses
1.1.1 Neutral fibre, tension and compression fibre
1.2    Second order moments of inertia
1.2.1 Simple cross-sections
1.2.2 Steiner's theorem
1.2.2 Composed cross-sections, profile cross-sections
1.2.3 The moment of inertia tensor
1.2.4 Principal axes and principal moments
1.3    Application examples

2.    Deformations due to bending stress

2.1   The differential equation of the bending line
2.2    Solving the ODE of the bending line for statically determinate beams
2.2.1 Kinematic boundary and transition conditions
2.2.2 Bending lines of single-span beams under single and line loads
2.2.3 Bending lines of multi-span beams under single and line load
2.3    Solution of the DGL of the bending line of statically indeterminate beams
2.3.1 The line load as the fourth derivative of the bending line
2.3.2 Dynamic boundary conditions
2.3.3 Bending lines of one-field beams under single and line loads
2.4    Superposition and combination of bending lines
2.4.1 Deformations of frames
2.4.2 Determination of reactions forces  of statically indeterminate beams

3.    Torsional loading

3.1    Fundamentals
3.2    Torsion of circular cylindrical shafts
3.2.1 Polar moment of inertia
3.2.2 Torsional stresses and their distribution
3.2.3 Torsion angle and twisting
3.3    Torsion of thin-walled closed profiles
3.3.1 Shear flow
3.3.2 Bredt's first and second formula
3.3.3 Stresses and torsion angles
3.3.4 Examples
3.4    Torsion of thin-walled open profiles
3.4.1 Stresses and torsion angles
3.4.2 Examples

4     Transverse shear

4.1    The short beam
4.1.1 Shear stress distribution in the rectangular cross-section
4.1.2 Bonded and riveted beams
4.2    Interaction of the basic stresses
4.2.1 Examples

Teaching materials

Blackboard script, own lecture notes, provided material for specific sections

Supplementary literature

Gross, D., Hauger, W., Schröder, J., Wall, W.A.: Technische Mechanik 2, Elastostatik
Springer-Verlag, 13. Auflage, 2017 (www.springer.com)

Prerequisites

 

Teaching language

(X) German ( ) English

Part of International Profile

( ) Yes (X) No

Module structure

Type 1a
  For more details please click on this link: T_CL_Modulauspraegungen_SM2025

Exams

Description Type Form Scope Grade Weighting
Graded assignments during teaching semester exam written 45 min mark 20%
End-of-semester exam exa, written 90 min mark 80%

Remarks

1. This module requires mastery of the matters of the classes Analysis 1 and 2, Algebra and Statistics 1 and 2 as well as Statics and strength of materials 1.
2.
The lecturers in MFL2 jointly create a end-of-semster exam that is the same for all classes. The lecturers create the midterm exams individually, but coordinate them with each other with respect to the level of difficulty.

Legal basis

The module description is part of the legal basis in addition to the general academic regulations. It is binding. During the first week of the semester a written and communicated supplement can specify the module description in more detail.

Note

Course: Strength of Materials 1 - Vorlesung
No.
t.BA.MT.FL2.19HS.V
Title
Strength of Materials 1 - Vorlesung

Note

  • No module description is available in the system for the cut-off date of 01 August 2099.