Teaching GuideTerm
Higher Technical University College of Architecture
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Grao en Estudos de Arquitectura
 Subjects
   Physics for Architecture 1
   Contents
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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