Statics Method Of Sections

Solve the truss by taking the sum of forces 0.

Statics method of sections. This method permits us to solve directly any member by analyzing the left or the right section of the cutting plane. Example problem using method of sections for truss analysis statics and structural analysis. To solve cut the member at the desired location draw a new free body diagram of the cut section and write equilibrium equations.

The sections are obtained by cutting through some of the members of the truss to expose the force inside the members. Here are the free bodies resulting from section 1 1 above. I calculate support reactions ii cut and isolate iii apply.

A b. If possible cut the truss such that you can solve each exposed force directly so that there s no need to solve a system of equations. Make a slice through the members you wish to solve.

In this method we will cut the truss into two sections by passing a cutting plane through the members whose internal forces we wish to determine. Use the same technique for force direction as method of joints. Treat the half structure as its own static truss.

To solve you can use the method of joints or the method of sections. Method of sections you pass a section indicated by a line through three members of the truss one of which is the desired member. Method of sections analysis of simple trusses.

Always start by calculating reactions at supports. In order to find unknown forces in using the method of sections sections of the truss structure must be isolated. Take the moment about a node of more than one unknown member.