Draft

5.3Shear& Moment Diagrams 111

Example5-9: ShearMoment DiagramsforInclinedFrame

x

y

F/Fy=z/x

F/Fx=z/y

Fx/Fy=y/x

Fy

Fx

F z

A

B

C

D

E

20k

36’ 20’

20’

15’

10’ 10’

13’

13’

13’

26k

26k

2k/ft

12

5

13

3

5

4

H

V

a

a

Ve

800k’

2k/ft

60k

20k

60k

19.2k

800’k

(20)(20)+(60-20)(20)/2

19.2k 48.8k

48.8k

0k’

20k

1130’k

488’k

+60k

+20k

+25.4k

-26.6k

-23.1k

-39.1k 800’k

(60)(20)-(2)(20)(20)/260-(2)(20)

26k

26k

17.72k

26.6k

778k’

19.2k

0k

800k’

20k

28.8k

11.1k

-0.6-26

800’k

1130’k

800+(25.4)(13)

39.1k

28.8k

778k’

0k

0k’

488’k

(39.1)(12.5)

-23.1-16

24k

24k

10k

10k

18.46k

7.38k

20-10-10

+25.4k

-26.6k

-23.1k

-39.1k

488+(23.1)(12.5)

1122k’ 777k’

-0.58k

1,130-(.58)(13)

25.42-26

777k’

-0.58k

1122k’

777k’

20k

16k

12k

17.28k

23.1k

48.9k

29.3k

1 2 3 4 5 6

8 B-C 11 C-D

13

1,122-(26.6)(13)

9 B-C 12 C-D

7 10

AB ED

BC CD

(20)(12)/(13)=18.46

(19.2)(5)/(13)=7.38

(19.2)(12)/(13)=17.72

(26.6)(13)/(12)=28.8

(26.6)(5)/(12)=11.1

(28.8)(3)/(5)=17.28

(20)(4)/(5)=16

(20)(3)/(5)=12

(39.1)(5)/(4)=48.9

(39.1)(3)/(4)=29.3

(28.8)(4)/(5)=23.1

(26)(12)/(13)=24

(20)(15)/13=7.7

14

17.7+7.7

7.69k