solucionario captulo 4 - hibbeler - estatica

4 Solutions 44918 1/23/09 12:03 PM Page

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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



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



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



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



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



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



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–



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



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

solucionario captulo 4 - hibbeler - estatica

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