Question

Write the MATLAB code and use the function linsolve() to solve the system of linear equations.

l Truss A truss is a structure that typically consists of 1. All straight members 2. connected together with pin joints 3. connected only at the ends of the members 4. and all external forces (loads&reactions) must be applied only at the joints. The weights of the members may be neglected. The basic building block of a truss is a triangle. Large truss are constructed by attaching several triangles together. A new triangle can be added truss by adding two members and a joint. A truss constructed in this fashion is known as a simple truss The truss is made up of single bars, which are either in compression, tension or no-load. The means of solving force inside of the truss Roller use equilibrium equations at a joint. This method is known as the method of joints. The method of joints uses the summation of forces at a joint to solve the force in the members. It does not use the moment equilibrium equation to solve the problem. In a two dimensional set of equations, Fixed rctoniess suuface) Pinned Support Reactions Figure 1: Four different support types and reac Structural systems transfer their loading through a series of elements to the ground. In order to be able to analyze a structure, it is first necessary to be clear about the forces that can be resisted, and transferred, at each level of support throughout the structure. The three common types of connections which join a built structure to its foundation are: roller. pinned and fixed. A fourth type, not often found in building structures, is known as a simple support. Different support types and reactions are shown in figure 1 Refer to Lecture 11 slides for examples. 2 Problem Analyze the following truss (figure 2). Com pute internal forces of different members and the reaction forces using the method of joints Display the reaction forces and the member with the maximum magnitude of force. To solve this problem, you are required to follow the following steps: 1000 N 1 m 1000 N 1 m Construct the system of linear equations. Write the MATLAB code and use the function linsolve0 to solve the system of linear equations. Figure 2: Schematic of the truss to be analyzed.

Thank you!

Answer 1

1000N Calculation of support Reactions DRDH t 1000t I000 45 m 46 2m CAssuming all members are Subjected 2D RDV-1500 → RE 1500N to tension Using method oF Joints Joint D BD FeD Sin45 1500 FB D = 1500 = 212132 45 DE RDH Sin45 Py FDE-RDtl-FBCos45 = 2000-2121.32 cos450 FDE - 500 N Joint A 1000 N 1414 21 시 2D FAB= 1000 sin45° FAC -FAB co s 45°= =p -141 4.21 cos45 Fac = FAc-999.99 N Joint C FAC Fac 1000N FCE Joint B FBE:-1000 cosas"= -707.106 45。 "BC BE

Member BD DE AB AC Вс BE ForcelN) | Nature 2121 32 500 Member Subjected to maximum force is BD Tensile Tensile Tensile 1414.2 compressive Tensile Tensile Compressive - 999.99 looo -707.106