Introduction to Solid Mechanics
Objectives
At the end of this course, the student will have acquired knowledge, scientific skills that allow him to:
• Establish the static equilibrium equations of rigid bodies, at 2 and 3 dimensions and build the free body diagram.
• Determine: the Centroid and Mass Center of lines an areas, the 2nd order moments of an area and the internal forces in different members of a structure.
• Understand and apply: the concept of normal and shear stress, the stress-strin relationship in a uniaxial tensile test. Hooke''s Law and the Poisson Coefficient (in the elastic stage of materials).
• Understand: the differences of elastic and plastic behaviour of materials, the effect of stress concentration.
• Understand and determine: the diagrams of shafts subjected to a torque, the distribution of stresses/strains in a shaft when subjectes to torque, the diagrams of the shear forces and the bending moment in beams, the distribution of stresse/strains in beams when subjected to bending.
General characterization
Code
12511
Credits
6.0
Responsible teacher
Hugo Emanuel Charrinho da Costa Biscaia, Pedro Samuel Gonçalves Coelho
Hours
Weekly - 4
Total - 58
Teaching language
Português
Prerequisites
Availability to learn.
Bibliography
Hibbeler, Russell C. Statics and Mechanics of Materials, eBook, SI Edition. Available from: VitalSource Bookshelf, (5th Edition). Pearson International Content, 2018.
Beer & Johnston, Vector Mechanics for Engineers, Statics (different editions). McGraw-Hill.
R. C. Hibbeler. Mechanics of Materials (different editions). Pearson.
F. P. Beer, E. R. Johnston, Jr., J. T. DeWolf, D. F. Mazurek. Mecânica dos Materiais / Resistência dos Materiais / Mechanics of Materials (different editions). McGraw-Hill.
Paulo F. Gomes. Resistência dos materiais. ISBN 978-989-98697-0-7 (only in Portuguese)
Teaching method
This course is taught in theoretical and practical classes. In theoretical classes the fundamental concepts are presented followed by their demonstration. In practical classes students must discuss the previously proposed problems.
The expository method, autonomous study, and practical exercises are mainly aimed to motivate students for problem solving by contributing decisively to the formation of engineers capable of satisfying business tissue requirements.
Note: Classes (time with professors) should be used to the fullest, and being essencial a pre-preparation of each lesson.
Evaluation method
Available soon
Subject matter
Static of the rigid body: Equilibrium of a rigid body in 2 and 3 dimensions; Free body diagram; Internal forces in mechanical and structural bars; Centroid and centre of gravity of of wires and areas; Second Area Moment.
Stress definition: Axial Forces, Normal stresses; Shear Forces, Shear stresss; Structural bar subjected to axial loads: Diagram of the Normal or Axial forces; Longitudinal strain due to the action of a Normal force; Stress-Strain relationships of different materials; Hooke''s Law; Eslatic Modulus; Poisson''s ratio.
Structural bar subjected to bending: Diagrams of Shear Force and Bending Moment; Pure Bending (PB); Analysis of PB stresses; Strains of a symmetrical beam subjected to PB; Stresses and Strains in the elastic stage of materials; Shear stresses.
Torsion: Diagram of Torsional Moment; Analysis of the stresses on an elastic shaft; Torque Rotations.