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 July 31st, 2013, 02:46 AM #1 Newbie   Joined: Jul 2013 Posts: 4 Thanks: 0 triangle inequalities of four bar linkages hello there i am kinda learning about four-bar linkages, and im trying to find the length relationships of the four links how do i combine these inequalities L1 + L2 < L0 + L3 L0 < L2 - L1 + L3 L3 < L2 - L1 + L0 to form this L1 + |L2 - L3| < L0 < L2 - L1 + L3 all are different variables, the links have different lengths im kinda dumbfound abt it
 July 31st, 2013, 03:41 AM #2 Senior Member   Joined: Jun 2013 From: London, England Posts: 1,316 Thanks: 116 Re: triangle inequalities of four bar linkages Note that the second part of your inequality L0 < L2 - L1 + L3 is simply the second equation. So, all you have to show is: L1 + I L2 - L3 I < L0 First, if L3 < L2, then I L2 - L3 I = L2 - L3. And, the inequality holds from looking at the first equation L1 + L2 - L3 < L0, hence L1 + I L2 - L3 I < L0 (when L3 < L2) If, however, L2 < L3, then I L2 - L3 I = L3 - L2. And, the inequality holds from the third equation: L3 < L2 - L1 + L0 hence L1 + L3 - L2 < L0 And that's it.
 July 31st, 2013, 04:32 AM #3 Newbie   Joined: Jul 2013 Posts: 4 Thanks: 0 Re: triangle inequalities of four bar linkages thanks, i think i got it now i confused myself with the absolute value signs

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