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Show transcribed image text An equivalent alternative for truss analysis is the method of sections, where a truss is cut into two sections and the three equilibrium equations are applied to either section to calculate the load and moments on individual truss members. The method of sections is also best understood through a example. All truss analysis starts with a free-body diagram. Note: Since there are only 3 equilibrium equations, be careful to cut your truss where there are only three unknown member forces. The truss shown in Figure 2 is used to demonstrate the method of sections technique. Draw a free-body diagram, and solve for the reactions. Use the method of sections to solve for the loads in members GF. GE. and DE. Draw a final sketch showing all forces, reactions, and internal loads. Check the equilibrium of joints E and F with the method of joints. The following three assumptions are made for planar truss structures: All members are in the same plane. All loading is at the joints. All joints are pinned (free rotation). similar to the method of joints, the following five steps are prescribed to find the solution using the method of sections. Draw the FBD. Model the supports. Draw a neat sketch of the truss object to be analysed with applied loads and supports. Replace supports by reactions (through positive orthogonal components). Write the equations of equilibrium. Solve for the two support forces using the positive reference frame. Count the unknowns and the equations, and find the determinacy of the system. The method of sections can be applied to any statically determinant truss. Solve the equations of equilibrium, and redraw the sketch, labelling all quantities. Section off part of the truss, and apply the three equilibrium equations: the sum of forces and the sum of the moments equal zero. Determine the internal loads. Isolate a section of the truss. Show the(Unknown) bar forces as tensile forces pulling away from the joint. Calculate and show orthogonal components of forces at an angle.
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