When A Beam Or Bar, Fixed Or Supported At Both Ends, Bears Two Weights At Unequal Distances From The Ends
Description
This section is from the book "The English And American Mechanic", by B. Frank Van Cleve. Also available from Amazon: The English And American Mechanic.
When A Beam Or Bar, Fixed Or Supported At Both Ends, Bears Two Weights At Unequal Distances From The Ends
Let m and n represent distances of greatest and least weights from their nearest end, W and w greatest and least weights, L whole length, l distance from least weight to farthest end, and V distance of greatest weight from farthest end.
mXW l X w nXw l'XW
Then--------+-----= pressure at to end, and-------+ -------- = pressuro at W
L L L L end.
Illustration
A beam 10 feet in length, having both ends fixed in a wall, bears two weights, viz., one of 1000 lbs. at 4 feet from one of its ends, and the other of 2000 lbs. at 4 feet from the other end; what is the pressure upon each end?
4X2000 6X1000 4X1000 6X2000
---------+ ---------=1400 lbs. pressure upon w end,---------+-------------=1600 lbs.
10 10 10 10 pressure at W end.
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