truss_overdetermined 3

# truss_overdetermined 3 - Statically indeterminate systems...

This preview shows pages 1–4. Sign up to view the full content.

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.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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 + <
100 F AC F BC

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 6

truss_overdetermined 3 - Statically indeterminate systems...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online