Porticos Isostaticos Ejercicios Resueltos 14.pdf [TOP]
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Porticos Isostaticos Ejercicios Resueltos 14.pdf [TOP]
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How to Solve Exercises on Isostatic Porticos
Isostatic porticos are structures that have no internal forces or moments, and are only subjected to external loads. They are commonly used in civil engineering and architecture to support roofs, bridges, or other elements. To solve exercises on isostatic porticos, you need to apply some basic principles of statics and geometry.
In this article, we will show you how to solve an example exercise on isostatic porticos, taken from the document "Porticos Isostaticos Ejercicios Resueltos 14.pdf" [^3^]. You can download the document from the link below for more exercises and solutions.
Porticos Isostaticos Ejercicios Resueltos 14.pdf
The exercise we will solve is the following:
The portico is composed of three bars of equal length L and cross-sectional area A. The modulus of elasticity of the material is E. The portico is fixed at points A and C, and has a hinge at point B. The portico is subjected to a vertical load P at point D.
To solve this exercise, we need to follow these steps:
Draw the free-body diagrams of the portico and each bar.
Apply the equilibrium equations to find the reactions at the supports and the internal forces at the hinge.
Apply the compatibility equations to find the displacements and rotations at each point.
Apply the constitutive equations to find the stresses and strains in each bar.
We will explain each step in detail below.
Step 1: Draw the free-body diagrams
A free-body diagram is a sketch that shows all the external forces acting on a body or a part of a body. It helps us to identify the unknown forces and moments that we need to find.
The free-body diagram of the whole portico is shown below:
We have labeled the reactions at the supports as RAx, RAy, RCx, and RCy. We have also labeled the internal forces at the hinge as NB, VB, and MB. These are the unknowns that we need to find.
The free-body diagrams of each bar are shown below:
We have labeled 9160f4acd4
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