Module Code - Title:
ME4226
-
MECHANICS OF SOLIDS 2
Year Last Offered:
2025/6
Hours Per Week:
Grading Type:
N
Prerequisite Modules:
ME4213
Rationale and Purpose of the Module:
To understand and analyse and measure the state of strain at a point in a 2D strain field.
To analyse stresses and deformation in circular plates under symmetrical loading. To be able to determine yielding under multiaxial loading. To be able to predict the maximum deflection of a beam subjected to simple and complex loading in a plane. To predict the buckling load and maximum stress in a strut. To understand the factors influencing fatigue life and be able to predict the life of simple engineering components. To understand the basics of LEFM. To analyse the stresses in beams of unsymmetrical section.
Syllabus:
Infinitesimal strain at a point in a 2D stress field and Mohr's strain circle. Selection of strain gauges for measurement on metals. Thin circular plates. Criteria of failure for isotropic homogeneous materials (Rankine, Tresca and Von Mises). Deflection of beams.
Buckling of struts (Euler and Rankine-Gordon). LEFM. Fatigue. Unsymmetrical bending.
Learning Outcomes:
Cognitive (Knowledge, Understanding, Application, Analysis, Evaluation, Synthesis)
1 Determine the principal strains at a point for a 3 element rosette either be calculation or by Mohr's strain circle and to select strain gauges, adhesives and protective coatings for work on metals at room temp. under static conditions in a dry lab. environment.
2 Evaluate the deflection and strain in a circular plate under the following bdy. conditions both experimentally and theoretically: a) point load and simply supported and b) point load with fixed edges. Apply the above techniques for theoretical solutions only.
3 Demonstrate if failure will occur due to max. prin. stress or if yielding will occur using max. shear stress, max. shear strain energy or max. strain energy failure criterion.
4 Determine the deflection of a simple beam using method of successive integration or MaCaulay's method for complex structures and calculate the buckling load of a strut using Euler or Rankine-Gordon methods.
5 Define the factors influencing fatigue failure and be able to use the Soderburg diagram. Apply a fracture mech. approach to predict fatigue life. To be able to use LEFM to predict stresses and radius of plastic zone at crack front and evaluate breaking load of product containing surface cracks under conditions of bending and tension.
Given load-displacement curve and fractured surface be able to predict KIC.
6 Calculate stresses in a beam of unsymmetrical section.
Affective (Attitudes and Values)
7 Report the data from the lab. featuring the comparison of theoretical and experimental deflections and strains from a circular plate under load.
Psychomotor (Physical Skills)
N/A
How the Module will be Taught and what will be the Learning Experiences of the Students:
Research Findings Incorporated in to the Syllabus (If Relevant):
Prime Texts:
Benham, P.P., Crawford, R.J., Armstrong, C.G. (1996)
Mechanics of Engineering Materials
, Prentice-Hall
Other Relevant Texts:
Rees, D.W. (2000)
Mechanics of Solids and Structures
, McGraw-Hill
Programme(s) in which this Module is Offered:
Semester(s) Module is Offered:
Module Leader:
Ronan.Ohiggins@ul.ie