MATRIX METHOD OF STRUCTURAL ANALYSIS EXAMPLES SOFTWARE
Matrix structural analysis is usually performed in practice using commercial software packages (although free alternatives do also exist). These are in contrast to force-type methods such as the force method, which require the calculation of flexibility parameters to conduct the analysis by determining deflections and rotations based on forces and moments. In the slope-deflection method, the slope-deflection equations represented the stiffness of each element (by relating the deflections/rotations directly to the associated end moments). In the moment-distribution method, the stiffness parameters were explicitly determined in order to calculate the distribution factors. Both of these methods required the calculation of member stiffness parameters to conduct the analysis by distributing moments according to stiffness. In this way, it is similar to the slope-deflection and moment-distribution methods from the previous two chapters.
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Matrix structural analysis usually uses a stiffness-type method for analysis. The use of this method with a computer allows the analysis of complex structures that would have been impossible previously. The advantage of matrix structural analysis is that it can easily be programmed to be solved using a computer.
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In modern engineering practice, such structures of medium to high complexity are typically analysed using matrix structural analysis. Even then, for a moderately complex frame analysis such as the one previously shown in Figure 10.1, the moment distribution method would need many iterations of calculations before the error in the final moments become small enough for the results to be useful. These methods are useful for performing quick calculations for simple structures and were the only methods available to civil engineers prior to the widespread adoption of personal computers.įor structures that are more complex than those having less that three degrees of indeterminacy (using the force method) or less than three degrees of freedom (using the slope-deflection method), only the moment distribution method covered in the previous chapter is suitable.
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All of the methods that have been covered in this book are suitable for analysis of determinate and indeterminate civil engineering structures by hand.