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383
4–151.
SOLUTION
O
7.5 m 4.5 m
500 kN m
6kN/m15 kN
Replace the loading by a single resultant force, and specify
the location of the force measured from point O.
384
SOLUTION
*4–152.
Replace the loading by an equivalent resultant force and
couple moment acting at point A.
AB
3 m
400 N/m
3 m
385
SOLUTION
4–153.
Replace the loading by a single resultant force, and specify
its location on the beam measured from point A.
AB
3 m
400 N/m
3 m
386
SOLUTION
4–154.
Replace the distributed loading by an equivalent resultant
force and specify where its line of action intersects a
horizontal line along member AB, measured from A.
4 m
3 kN/m
2 kN/m
3 m
A
B
387
4–154. Continued
388
4–155.
Replace the distributed loading by an equivalent resultant
force and specify where its line of action intersects a vertical
line along member BC, measured from C.
4 m
3 kN/m
2 kN/m
3 m
A
B
SOLUTION
389
4–155. Continued
390
SOLUTION
*4–156.
Determine the length b of the triangular load and its
position a on the beam such that the equivalent resultant
force is zero and the resultant couple moment is 8 kN
#
m
clockwise.
4 m
b
a
6 kN/m
2 kN/m
A
391
SOLUTION
4–157.
Determine the equivalent resultant force and couple
moment at point O.
w
w ( x3 ) kN/m
9 kN/m
1
3
x
O
3 m
392
4–158.
SOLUTION
Determine the magnitude of the equivalent
resultant force and its location, measured from
point O.
O
w
6 ft
4 lb/ft
8.90 lb/ft
x
w (4 2 x ) lb/ft
393
SOLUTION
4–159.
The distributed load acts on the shaft as shown. Determine
the magnitude of the equivalent resultant force and specify
its location, measured from the support, A.
10 lb/ft
28 lb/ft
AB
w
x
18 lb/ft
w (2x¤ 8x 18) lb/ft
1 ft 2 ft 2 ft
394
*4–160.
Replace the distributed loading with an equivalent resultant
force, and specify its location on the beam measured from
point A.
SOLUTION
100 lb/ft
370 lb/ft
w
A
B
x
w (x2 3x 100) lb/ft
395
SOLUTION
4–161.
Replace the loading by an equivalent resultant force and
couple moment acting at point O.
L
Ox
w
w w0 cos x
2L
p
(
(
396
4–162.
Wet concrete exerts a pressure distribution along the wall
of the form. Determine the resultant force of this
distribution and specify the height hwhere the bracing strut
should be placed so that it lies through the line of action of
the resultant force.The wall has a width of 5 m.
4m
(4 ) kPa
p
1/2
z
p
SOLUTION
