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STRENGTH OF MATERIALS. 2 53
W’
= Weight of beam.
Pi = Breaking load applied at n.
Load at n X distance b
Load on Pier A =
Load on Pier B =
span
Load at n X distance a
span
Beams Loaded at Several Places.
-4-ftT-J
-10ft, *\
16-ftr
2L
-19-ffc (
24 ft.
When a beam is loaded at several places the equivalent
center load and the load on each support may be calculated as
shown in the following example : (See Fig. 26).
The equivalent center load for a — - X 20
X 1000 = 555.6 lbs.
12 X 12
The equivalent center load for b = 10 X 14
X 800 = 777.8 lbs.
12 X 12
The equivalent center load for c — 16 X 8
X 900 = 800 lbs.
12 X 12
The equivalent center load for d — 19 X 5
X 300 = 197.9 lbs.
12 X 12
The equivalent center load for loads a, b, c and d is 2331.3
pounds.
The load on Pier A =
(5 X 300) + (8 X 900) + (14 X 800) + (20 X 1000) _
24
1662^ lbs.
The load on Pier B =
(4 X 1000) + (10 X 800) + (16 X 900) + (19 X 300) _ 1337 y lbg
24
/2
Note.—The sum of the load on supports A and B is always
equal to the sum of all the loads ;
therefore, by subtracting the
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