truss_overdetermined 3

truss_overdetermined 3 - Statically indeterminate systems...

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Example of an over determined truss ( more eqs than unknowns) 100 lb (acting on the pin at C) 3' 2' 4' A B C Statically indeterminate systems are where the number of equilibrium equations available is less than the number of unknown forces and/or moments so that we have to bring in some additional information to solve for all the unknowns. These are examples of so-called under-determined systems . It can happen also that in some problems we may have more non-trivial equilibrium equations than unknowns. In this case the system is said to be over-determined . Over determined systems are not desirable since they are either unstable or not completely restrained.
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100 lb A y B y C F AC F AC F AC F AC F AB F AB F AB F AB F BC F BC F BC F BC For unknowns we have three bar forces (m = 3) and two external reactions (n = 2) (5 total) For equilibrium equations we have two force equations at each pin: So for 3 pins (j = 3) we have a total of 6 equations 0 0 x y F F = = 2 m n j + <
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100 F AC F BC
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truss_overdetermined 3 - Statically indeterminate systems...

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