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In the oilfield, it is Top Of StrokeIn high-speed engines (cars etc), revved past redline, TOS is when the connecting rod will break.
Because the rod is short and angularity is high, the piston goes over the top quicker than it goes around the bottom. Stresses are highest over the top.
Also while we assume metals are strong in tension and compression, short squat rods are a bit stronger in compression.
There's two different TOSes. Top of compression stroke is cushioned by, uh, compression. Top of exhaust stroke, both valves are open, no cushion.
So an over-revved rod will uually break at TOS of exhaust stroke.
Thinking that a rod-pump will also break at TOS. Alternatively, at mid-stroke where fluid flow rate is highest.
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In the oilfield,....In the 1950s I bopped around San Diego and Bakersfield. I loved watching the rocking birds. Different motions, mechanisms. graceful.
Look at Wikipedia:
http://en.wikipedia.org/wiki/Pumpjack "...more power to move the heavier lengths of sucker rods..."
That seems wrong to me. The rod is counterbalanced; anyway the rotary motion returns energy to the system. The actual "Power" is lifting the liquid (plus Friction, probably tons of the stuff).
There's a comments page on Wikipedia articles; I added a comment.
http://en.wikipedia.org/wiki/Talk:Pumpjack#.22more_power.22.2C_but_not_in_.22rods.22