1 Truss A truss is a structure that typically consists of 1. All straight members 2. connected...

1 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 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, RollerFixed Simple (Trictionkess suface) Pinned Support Reactions Figure 1: Four different support types and reac tions 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 1000 N 1 m 1. Draw the free body diagram 2. Derive the equilibrium equations for each Joint 3. Construct the system of linear equations Figure 2: Schematic of the truss to be analyzed. 4. Write the MATLAB code and use the function linsolve0 to solve the system of linear equations. It is noted that we consider tension as positive and compression at negative by convention. You need to submit: the MATLAB code and a PDF document with the free body diagram, equilibrium equations for all joints, and the constructed matrix for the system of linear equations