Teaching GuideTerm Higher Technical University College of Architecture |
Grao en Estudos de Arquitectura |
Subjects |
Physics for Architecture 1 |
Contents |
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Identifying Data | 2017/18 | |||||||||||||
Subject | Physics for Architecture 1 | Code | 630G02008 | |||||||||||
Study programme |
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Descriptors | Cycle | Period | Year | Type | Credits | |||||||||
Graduate | 1st four-month period |
First | Obligatoria | 6 | ||||||||||
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Topic | Sub-topic |
1- STATIC SOLID RIGID | Review of Mechanics. Concept of force Basic hypothesis Force systems. Properties: Composition of forces. Resultant. Moment of a force respect to a point. Moment of the system. Moment of a force respect to axes. Moment of the system. Torque. Pair composition force. Reduction systems. Invariant of a system. Central axes. Equilibrium conditions in 3D and 2D. Particular cases: Solid rigid balance under the action of two forces. Solid rigid balance under the action of three forces. |
2- LINKS AND REACTIONS FORCES. EQUILIBRIUM OF RIGID SOLID |
Introduction. Concept of rigid solid. Free Solid / Solid linked. Support, connection and joint. Definition. Classifications. Active Forces (or actions) and Reactive Forces (or effects). Freedon Degreem: Internal, External and Total. Connection or constraints two-dimensional systems (2D). Connection in three-dimensional systems (3D). Immobilization of the body: 2D and 3D. Isostatic, hyperstatic and mechanisms systems. Balance in two-dimensional. Calculation of reactions. Balance in three-dimensional. Calculation of reactions. Diagram of rigid solid. |
3- ARTICULATED STRUCTURAL ANALYSIS | Introduction. External and internal forces. Equilibrium of solid under action of two forces Axial forces: Tension and Compression Truss structures. Definition. Basic hypothesis . Types Condition Isostatic system Calculation methods truss structures Method sections or Ritter Method joints Particular load cases |
4- BEAMS: EXTERNAL AND INTERNAL FORCES | Introduction. Prismatic section. Beams. Types of beams. Loads. Types of loads. External and internal forces. Sign convention. Balance of a section. Axial, shear and bending moments diagrams Drawing diagrams Supported at one articulated at end beam with concentrated load Supported at one articulated at end with uniform distributed load. Cantilever with concentrated load Cantilever with uniformity distributed load. |
5- ISOSTATIC BEAMS RESOLUTION | Beams with any types of load Inclined beams with any types of load Beams with hinged connection and intermediate supports: Gerber beam. Broken beams |
6- RESOLUTION OF ISOSTATIC PORTAL FRAME | Definition. Types Method of study Portal frame supported-articulated Portal frame with cantilevers Three articulated portal frame Compound porches |
7- CABLE STRUCTURES | Basic hypothesis Solidification principle. Balance. Cables with concentrated loads Cables with distributed load Differential equation of a cable Parabolic cable. |
8- GRAVITY CENTER AND MASS CENTER | Introduction. Center parallel forces system Weight and mass. Gravity center and mass center Application to Discrete Systems and Dynamic Systems Gravity center of surface. Centroids Static moment Properties of the center of mass. Papus-Guldin theorems |
9-MOMENTS OF INERTIA | Introduction Moments of inertia of a particles system Product of inertia of a particles system Properties Moments and products of inertia of continuous systems Moments and products of inertia of plane systems Moments and products of inertia of surfaces and lines Distributive property Steiner theorem applied to moments of inertia Steiner theorem on products of inertia Moments of inertia of compound areas Turning radius of an area. Moment of inertia about any straight line. Rotation of Axes Principal axis of inertia Principal moments of inertia Maximum and minimum moments of inertia Mohr circle for moments and products of inertia Graphical representation of the Mohr circle |
10-METHOD OF VIRTUAL WORKS | Introduction Work of a system of forces on a rigid solid Definition virtual displacement. Virtual work Principle of virtual works |
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