Download - Solucionario Captulo 4 - Hibbeler - Estatica
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resultant force and couple moment at point
2
100 lb
3
*4–104. Replace the force system acting on the truss by a 200 lb 150 lb
2 ft 2 ft 2 ft 2 ft
A B
5
4
6 ft 500
lb
C
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6
2
•4–113. Replace the two forces acting on the post by a zresultant force and couple moment at point O. Express theresults in Cartesian vector form. A
C FB 5 kN
FD 7 kN
6 m 8
m2 m
D O
3 m
B
x y
4 Solutions 44918 1/23/09 12:04 PM Page
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2
1
4–114. The three forces act on the pipe assembly. If zF1 = 50 N and F2 = 80 N, replace this force system by an equivalent resultant force and couple moment acting at O.Express the results in Cartesian vector form. 180 N
1.25 m O y
F2
x 0.5 mF1
0.75 m
4–115. Handle forces F1 and F2 are applied to the electric F2 {2j 4k} Ndrill. Replace this force system by an equivalent resultantforce and couple moment acting at point O. Express the zresults in Cartesian vector form. 0.15 m F {6i 3j 10k} N
0.25 m
0.3 m
O
x y
4 Solutions 44918 1/23/09 12:04 PM Page
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Express the results in Cartesian vector
2
x
*4–116. Replace the force system acting on the pipe z
assembly by a resultant force and couple moment at point O. F2 { 10i 25j 20k} lb
F1 { 20i 10j 25k}lb
2 ftO
1.5 ft
2 ft 2 ft
x
4 Solutions 44918 1/23/09 12:04 PM Page
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2
A
400 mm O C
x
20 kN 50 kN F1
x 3 m
4–130. The building slab is subjected to four parallel zcolumn loadings. Determine the equivalent resultant force and specify its location (x, y) on the slab. Take F1 = 20 kN, F2 = 50 kN.
F2
4 m y
8 m 6 m
2 m
4–131. The tube supports the four parallel forces. zDetermine the magnitudes of forces FC and FD acting at C FD
and D so that the equivalent resultant force of the forcesystem acts through the midpoint O of the tube. 600 N
D
FC
500 N
400 mm 200 mmBz 200 mm y
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2
30 kN
FB 2.5 m
2.5 m
C
x A
yB
•4–133. The three parallel bolting forces act on the circular z
plate. If the force at A has a magnitude of FA = 200 lb, determine the magnitudes of FB and FC so that the resultant force FR of the system has a line of action that coincides withthe y axis. Hint: This requires ©Mx = 0 and ©Mz = 0. C
F
1.5 ft
4530
B F FA
4–134. If FA = 40 kN and FB = 35 kN, determine the zmagnitude of the resultant force and specify the location ofits point of application (x, y) on the slab.
0.75 m 90 kN
20 kN
0.75 m
0.75 m FA
y x 3 m
3 m
0.75 m
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3
2 2
*4–144. Replace the distributed loading by an equivalent 800 N/mresultant force and specify its location, measured from point A.
200 N/m
A B
2 m 3 m
•4–145. Replace the distributed loading with an w0 w0
equivalent resultant force, and specify its location on thebeam measured from point A.
A
B
–L– –L–
4 Solutions 44918 1/23/09 12:04 PM Page
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function w = 10.5x3 N>m. Simplify this distributed to an equivalent resultant force and specify its
3
p (4
z ) kPa
4
w (0.5x3) N/m
A
*4–152. Wind has blown sand over a platform such that wthe intensity of the load can be approximated by the 500 N/m
2
and location measured from A.
x
10 m
•4–153. Wet concrete exerts a pressure distribution along pthe wall of the form. Determine the resultant force of thisdistribution and specify the height h where 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.
1/2
h
8 kPa
z
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3
*4–156. Replace the loading by an equivalent resultant 50 lb/ftforce and couple moment acting at point B. 50 lb/ft
B
4 ft
6 ft
100 lb/ft
60A