Strength of Materials

Code:

EMG0037

Acronym:

RM

Keywords
Classification	Keyword
OFICIAL	Physical Sciences (Physics)

Instance: 2023/2024 - 1S

Active?	Yes
Responsible unit:	Mining Engineering Department
Course/CS Responsible:	Bachelor in Mining and Geo-Environmental Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L.EMG	18	Plano de estudos oficial a partir de 2008/09	2	-	4,5	39	121,5

Teaching language

Suitable for English-speaking students
Obs.: Classes will be taught in Portuguese. However, study material and assessment tests may be provided in English.

Objectives

Introduction to elastic structural mechanics. Introduction to basic principles of mechanics of materials.

Learning outcomes and competences

With this Curricular Unit (CU) is intended to endow the student with the fundamentals of structural analysis and the basic concepts of the Strength of Materials. At the end of the CU the student should be able to:

- Know and use static equilibrium equations

- Classify material systems regarding their external connections

- Evaluate reactions and internal efforts in isostatic systems

- Determine centres of mass, moments of inertia, inertia products and principal moments of inertia

- Characterize the stress state at a point and identify the plane stress state

- Calculate the principal stresses and principal facets using the Mohr circle

- Characterize the strain state and know the stress-strain relationship (Hooke law - isotropic materials)

- Estimate shear stresses and strains due to torsion of solid circular bars and tubes

- Determine normal stresses due to bending of linear bars

Working method

Presencial

Pre-requirements (prior knowledge) and co-requirements (common knowledge)

Students must have previous knowledge of Physics (e.g. have taken Physics I).

Program

Chapter 1 – Static equilibrium

Particle equilibrium. Systems of equivalent forces. Rigid body equilibrium

Chapter 2 – Analysis of plane structures

Equations of static equilibrium; Determination of reactions of support. Truss structures; Method of joints; Ritter's Method (Method of Sections)

Chapter 3 – Internal efforts

Internal efforts: Axial loading, shear and moment.

Chapter 4 – Geometry of Masses

Centre of mass and centre of gravity of continuous and discontinuous systems; Static moment, moment of inertia and inertia product; Principal moments of inertia

Chapter 5 - Introduction to Elasticity Theory

Stress state; Mohr's Circle; Principal stresses; Principal directions; Stress-strain relationship (Hooke law); Strain state; Principal strains

Chapter 6 – Torsion

Shear stresses and strains due to torsion of solid circular bars and tubes.

Chapter 7 – Bending

Normal stresses due to bending of linear bars.

Mandatory literature

Beer, Ferdinand P; Mecânica vectorial para engenheiros. ISBN: 972-8298-73-0
Beer, Ferdinand P; Resistência dos materiais. ISBN: 85-346-0344-8

Teaching methods and learning activities

The teaching model of the Curricular Unit (CU) includes only theoretical-practical classes. The different subjects that integrate the syllabus of the CU are exposed in Theoretical-Practical sessions, including the exposure of application examples. The Theoretical-Practical classes also contemplate solving proposed practical problems.

Software

Não aplicável.

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Designation	Weight (%)
Exame	45,00
Teste	45,00
Trabalho prático ou de projeto	10,00
Total:	100,00

Amount of time allocated to each course unit

Designation	Time (hours)
Estudo autónomo	120,00
Frequência das aulas	39,00
Total:	159,00

Eligibility for exams

There is a limit to absentism according to general rules of our faculty.

Students who do not fulfil these conditions in the current academic year will not have access to the second test, nor to the appeal season exam, except in cases where the condition was fulfilled in the immediately preceding academic year.

Calculation formula of final grade

1. The assessment of students is of type Parcel and Resource Exam.

2. Parcel Assessment is conducted through practical works (AD) and two tests: one test in the middle of the semester (T1) and one test on the date of the 1st call examination (T2).

3. The syllabus for partial evaluation of evidence are unique.

4. In each of the partial assessments, the minimum score is 7.0 (out of 20). Students who do not obtain the minimum score of 7 values, will have to carry out a 2nd assessment.

5. The two tests (partial assessments) have equal weight (45%) in the final evaluation of the Parcel.The practical works have a weight of 10%.

6. The final assessment of the Parcel is equal to the average of partial assessments. Final ratings higher than 17 are subject to defense by an oral examination.

7. Students who do not obtain approval in the Parcel Evaluation will be evaluated in the 2nd call of exams, being able to choose to carry out the evaluation related to only one of the partial modules T1 or T2 (as long as the minimum score of 7.0 values is respected) or by performing a global examination, ER (focusing on the entire programmatic content of the UC).

8. Students who wish to perform the 2nd call of one partial assessment must inform the Professor of this intention, by email, at least 3 working days in advance. All students who do not meet this requirement will be assessed by the global examination.

9. The assessment tests T1 and T2 consist of a written test scored from 0 to 20, composed by theoretical and practical questions, carried out without consulting books or notes.


Calculation formula of the final classification (CF):

CF = max {0.1AD+0.45T1+0.45T2; ER}


AD - Grade of practical works (exercises), expressed to the first decimal
T1 - Grade of the first partial assessment, expressed to the first decimal
T2 - Grade of the second partial assessment, expressed to the first decimal
ER - Grade of the global examination.

Examinations or Special Assignments

Not applicable.

Internship work/project

Not applicable.

Special assessment (TE, DA, ...)

Those in the General Evaluation Rules in force.

Classification improvement

The Classification Improvement is based on a Final Exam, respecting the General Evaluation Rules in force.

Observations

Final grade: final classification (CF) higher than 17 is subject to defense by an oral examination.