ENGN - engineering statics PDF

Title	ENGN - engineering statics
Author	Anonymous User
Course	statics
Institution	Beirut Arab University
Pages	5
File Size	389.8 KB
File Type	PDF
Total Downloads	106
Total Views	163

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Summary

engineering statics...

Description

PROBLEM 6.3 Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.

SOLUTION Reactions: 6M A

0: C 1260 lb

6Fx

0: Ax

0

6Fy

0: Ay

960 lb

FAB

FBC

12

13

Joint B: 300 lb 5 F AB

720 lb T W

FBC

780 lb C W

Joint A:

6F y

0:  960 lb 

4 F 5 AC F AC

6F x

0: 720 lb  (1200 lb)

0 1200 lb FAC

3 5

1200 lb C W

0 (checks)

Copyright © McGraw-Hill Education. Permission required for reproduction or display.

PROBLEM 6.5 Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.

SOLUTION Reactions:

6M B

0: Ax (5 ft)  (10 kips)(10 ft)  (10 kips)(20 ft) Ax

6Fx

0: Ax  B

60.0 kips

0

B

6Fy

0

60 kips

0: Ay  10 kips  10 kips 0 Ay

20.0 kips

Joint D:

10 kips 1

FDC

FDA

4

17 FDA

41.2 kips T W

฀฀฀฀฀฀฀฀฀฀฀฀฀฀฀฀฀฀฀฀฀฀฀฀฀฀฀฀฀

 FDC

40.0 kips

C W

Copyright © McGraw-Hill Education. Permission required for reproduction or display.

PROBLEM 6.5 (Continued)

Joint C:

6Fx

0:

2 5

1 FCA  10 kips 5

6Fy

0:

FCA

22.4 kips

(22.4 kips)  40 kips  FCB FCB

60.0 kips

0

FCA

22.4 kips T W

FCB

60.0 kips C W

0

Joint B:

6Fy

0 : FBA

0 FBA

Copyright © McGraw-Hill Education. Permission required for reproduction or display.

0 W

PROBLEM 6.6 Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.

SOLUTION Reactions:

 6 m

DE

6M B

§4· 0: ¨ ¸ FAC (4.5 m)  (24 kN)(12 m) ©5¹

2

  3.2 m

§4· 0: B x  ¨ ¸  80 kN ©5¹

80.0 kN T W

0 Bx

6Fy

6.80 m

0 F AC

6F x

2

§3· 0: By  ¨ ¸  80 kN  24 kN ©5¹

By

64 kN

0

24 kN

Joint E:

FCE 6

FDE 6.8

24 kN 3.2

FCE

45.0 kN T W

FDE

51.0 kN C W

Copyright © McGraw-Hill Education. Permission required for reproduction or display.

PROBLEM 6.6 (Continued) Joint D: 6 Fx

§ 6 · § 6 · 0: ¨ ¸ FBD  ¨ ¸  51.0 kN 6.8 © ¹ © 6.8 ¹

0 FBD

51.0 kN C W

FCD

48.0 kN T W

FBC

19.00 kN C W

Joint C:

6 Fx

6F y

§4· 0:  FBC  ¨ ¸  80 kN    45.0 kN  ©5¹

§ 3· 0 : ¨ ¸  80 kN  48.0 kN © 5¹

0

0 (checks)

Copyright © McGraw-Hill Education. Permission required for reproduction or display....