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Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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4-4 Method.of Sections
131
in Fig. P-4-4.8. Wind pressure creates the loads which are perpendicular
to the inclined members.
Hint: First use the method of sections to determine DF and then
consider an FBD of joint E.
FG = 5600 lbT
Ans.
4-4.9. Assume that the group of vertical 1200-lb loads are removed,
from the triangular Howe truss of Fig. P-4-4,8, leaving only the wind loads
which are perpendicular to the inclined members. Use the method of
sections to determine the force in members FH, FG, and EG.
Hint: Determine by inspection the forces in the web members of the
left side of the truss.
4-4.10. After using the method of sections to find the force in bars
BD and CD of the truss shown in Fig. P-4-4.10, find the force in bar AB.
Hint: Use geometry to find the slope of.CD.
AB = 2477 lb C; BD = 1770 lb C;-CD = 1118 lb T
Ans.
1000 Ib
2000 Ib
B
1200 Ib
600 Ib
E
12'
D
A
G
20
15
16'
16'
Figure P-44.10
15
15'
10
4-4.11. For the truss shown in Fig. P-4-4.11, determine each of the
forces in bars BD, CD, and CE by means of an equilibrium equation that
determines it independently of the others.
400 Ib
200 Ib
Figure P-44.11
: 44.12. Use the method of sections to determine independently the
force in bars AD, BE, and CE of the truss shown in Fig. P-4-4.12.
AD =.1896 Ib C; BE = 361 lb C; CE = 2100 Ib T
Ans.
D
12
G
600 Ib
800 Ib
400 Ib
4 panels @ 18' = 72'
Figure P-4-4.12
4-4.13. The loads on the Parkèr truss shown in Fig. P-4-4.13 (p. 132)
are in kips. One kip equals 1000 lb. Determine the forces in members BD,
BE, CE, and DE.
Transcribed Image Text:4-4 Method.of Sections 131 in Fig. P-4-4.8. Wind pressure creates the loads which are perpendicular to the inclined members. Hint: First use the method of sections to determine DF and then consider an FBD of joint E. FG = 5600 lbT Ans. 4-4.9. Assume that the group of vertical 1200-lb loads are removed, from the triangular Howe truss of Fig. P-4-4,8, leaving only the wind loads which are perpendicular to the inclined members. Use the method of sections to determine the force in members FH, FG, and EG. Hint: Determine by inspection the forces in the web members of the left side of the truss. 4-4.10. After using the method of sections to find the force in bars BD and CD of the truss shown in Fig. P-4-4.10, find the force in bar AB. Hint: Use geometry to find the slope of.CD. AB = 2477 lb C; BD = 1770 lb C;-CD = 1118 lb T Ans. 1000 Ib 2000 Ib B 1200 Ib 600 Ib E 12' D A G 20 15 16' 16' Figure P-44.10 15 15' 10 4-4.11. For the truss shown in Fig. P-4-4.11, determine each of the forces in bars BD, CD, and CE by means of an equilibrium equation that determines it independently of the others. 400 Ib 200 Ib Figure P-44.11 : 44.12. Use the method of sections to determine independently the force in bars AD, BE, and CE of the truss shown in Fig. P-4-4.12. AD =.1896 Ib C; BE = 361 lb C; CE = 2100 Ib T Ans. D 12 G 600 Ib 800 Ib 400 Ib 4 panels @ 18' = 72' Figure P-4-4.12 4-4.13. The loads on the Parkèr truss shown in Fig. P-4-4.13 (p. 132) are in kips. One kip equals 1000 lb. Determine the forces in members BD, BE, CE, and DE.
44.4. For the truss shown in Fig. P-4-4.4, determine the force in BE
by the method of joints and then check this result using the method of
sections.
Hint: To apply the method of sections, first obtain the value of BE
by inspection.
130
ANALYSIS OF STRUCTURES
Ans.
12'
BF = 2500 Ib C
44.5. In the Fink truss shown in Fig. P-4-4.5, the web members BC
and EF are perpendicular to the inclined members of their midpoints. If
P = 2000 lb, use the method of sections to determine the force in DF DE
and CE.
1200 Ib
44.6. Find the maximum value of P that may be applied to the Fink
truss of Fig. P-4-4.5 if the maximum loads permitted in members BD, CD,
and CE respectively are not to exceed 7000 lb, 3000 lb, or 5000 lb.
12'
9'
Ans.
P= 2405 lb
2400 lb
1200 lb
With this value of P, what will be the actual loads in these members?
Figure P-4-4.4
no 600 Ib 1200 Ib
1.200 lb 600 lb
1800 ib
-6'-
8'
6'
4'
B
D
20'
A
D.
G
8'
-80
Figure P44,5
Figure P-44.7
44.7. Determine the force in bárs BD, CD, DE, BE, and CH of the
truss shown in Fig. P-4-4.7.
Hint: After finding DE, consider a FBD of joint D.
BD = 878 lb C; CD = 1750 lb C; DE = 2015 lb C;
BE = 1050 lb T; CH = 750 lb T
44.8. Find the force in member FG of the triangular Howe truss shown
Ans.
800 Ib
J600 Ib
30
H
1600 Ib
800 Ib
1200 lb 1200 lb 1200 lb 1200 lb 1200 lb
Figure P-44.8
Transcribed Image Text:44.4. For the truss shown in Fig. P-4-4.4, determine the force in BE by the method of joints and then check this result using the method of sections. Hint: To apply the method of sections, first obtain the value of BE by inspection. 130 ANALYSIS OF STRUCTURES Ans. 12' BF = 2500 Ib C 44.5. In the Fink truss shown in Fig. P-4-4.5, the web members BC and EF are perpendicular to the inclined members of their midpoints. If P = 2000 lb, use the method of sections to determine the force in DF DE and CE. 1200 Ib 44.6. Find the maximum value of P that may be applied to the Fink truss of Fig. P-4-4.5 if the maximum loads permitted in members BD, CD, and CE respectively are not to exceed 7000 lb, 3000 lb, or 5000 lb. 12' 9' Ans. P= 2405 lb 2400 lb 1200 lb With this value of P, what will be the actual loads in these members? Figure P-4-4.4 no 600 Ib 1200 Ib 1.200 lb 600 lb 1800 ib -6'- 8' 6' 4' B D 20' A D. G 8' -80 Figure P44,5 Figure P-44.7 44.7. Determine the force in bárs BD, CD, DE, BE, and CH of the truss shown in Fig. P-4-4.7. Hint: After finding DE, consider a FBD of joint D. BD = 878 lb C; CD = 1750 lb C; DE = 2015 lb C; BE = 1050 lb T; CH = 750 lb T 44.8. Find the force in member FG of the triangular Howe truss shown Ans. 800 Ib J600 Ib 30 H 1600 Ib 800 Ib 1200 lb 1200 lb 1200 lb 1200 lb 1200 lb Figure P-44.8
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