steelandtimberdesignersinc.weebly.com · Web viewDesigners Adviser Sheet No. Caquilala, Jon...

Designers Adviser Sheet No.

Caquilala, Jon Ferrera, Jeremiah Jose Olila, Kim Joshua Lim, Nicole Andrei Talamayan, Roxanne

5CE-D

Engr. Mark Elson C. Lucio

1

Sheet Content: Truss Member Forces and Section Design

Truss Figure:

Member Forces And Property (Compression or Tension)

1-28D+W2 10.21 TD+W3 8.853 TD+W4 21.38 CD+W5 66.742 TD+W6 35.152 T

1-2

D+Lr 0 ---D+W1 1.274 CD+W2 9.334 TD+W3 1.252 CD+W4 9.334 TD+W5 0 ---D+W6 0 ---

2-3

D+Lr 95.642 TD+W1 87.254 CD+W2 13.635 CD+W3 19.913 CD+W4 53.552 TD+W5 141.951 CD+W6 74.764 C

3-4

D+Lr 95.669 TD+W1 87.278 CD+W2 13.639 CD+W3 19.919 CD+W4 53.567 TD+W5 141.991 CD+W6 74.784 C



5CE-D


2


7-8

D+W5 416.837 C

13-14

D+W5 788.904 CD+W6 219.542 C D+W6 415.504 C

8-9

D+Lr 379.588 T

14-41

D+Lr 309.167 TD+W1 330.602 C D+W1 258.882 CD+W2 100.884 C D+W2 113.825 CD+W3 70.489 C D+W3 51.686 CD+W4 158.753 T D+W4 93.07 TD+W5 548.551 C D+W5 437.12 CD+W6 288.913 C D+W6 230.225 C

9-10

D+Lr 379.588 T

14-15


Member Axial Force (kN) T/C Member Axial Force (kN) T/C

15-16

D+Lr 563.478 T

21-22


16-17

D+Lr 471.545 T

22-23


17-18

D+Lr 471.414 T

23-24


18-19

D+Lr 379.588 T

24-25

D+Lr 95.669 TD+W1 318.457 C D+W1 81.354 CD+W2 189.883 C D+W2 57.05 CD+W3 58.553 C D+W3 14.097 C



5CE-D


3


17-18

D+W6 353.946 C

23-24

D+W6 148.287 C

18-19

D+Lr 379.588 T

24-25


19-20

D+Lr 379.588 T

25-26


20-21

D+Lr 285.361 T

26-27

D+Lr 0 ---D+W1 240.705 C D+W1 0 ---D+W2 153.714 C D+W2 0 ---D+W3 43.23 C D+W3 0 ---D+W4 43.581 T D+W4 0 ---D+W5 416.837 C D+W5 0 ---D+W6 219.542 C D+W6 0 ---


27-54

D+Lr 44.697 C

48-49

D+Lr 236.459 CD+W1 38.127 T D+W1 203.89 TD+W2 27.645 T D+W2 135.369 TD+W3 6.515 T D+W3 36.097 TD+W4 3.945 C D+W4 32.282 CD+W5 66.742 T D+W5 354.207 TD+W6 35.152 T D+W6 186.555 T

53-54

D+Lr 47.011 C

47-48


52-53

D+Lr 47 C

46-47

D+Lr 329.746 CD+W1 41.6 T D+W1 282.988 TD+W2 30.029 T D+W2 177.319 TD+W3 7.122 T D+W3 51.166 TD+W4 4.425 C D+W4 54.285 C



5CE-D


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53-54D+W2 29.245 T

47-48D+W2 176.529 T

D+W3 7.011 T D+W3 51.053 TD+W4 4.54 C D+W4 54.398 CD+W5 71.378 T D+W5 487.891 TD+W6 37.594 T D+W6 256.965 T

52-53

D+Lr 47 C

46-47


51-52

D+Lr 141.558 C

45-46


50-51

D+Lr 142.451 C

44-45


49-50

D+Lr 236.519 C

43-44



42-43

D+Lr 513.068 C

32-33


41-42

D+Lr 602.151 C

33-34

D+Lr 236.459 C



5CE-D


5


28-29

D+W6 37.594 T

34-35

D+W6 256.965 T

29-30

D+Lr 47.893 C

35-36


30-31

D+Lr 142.451 C

36-37


31-32

D+Lr 142.451 C

37-38



38-39

D+Lr 513.068 C

10-37


39-40

D+Lr 513.068 C

9-36

D+Lr 0 ---D+W1 442.075 T D+W1 0 ---D+W2 170.389 T D+W2 0 ---D+W3 90.679 T D+W3 0 ---D+W4 180.445 C D+W4 0 ---D+W5 741.227 T D+W5 0 ---D+W6 390.393 T D+W6 0 ---

40-41

D+Lr 602.151 C

8-35

D+Lr 3.438 CD+W1 504.068 T D+W1 3.414 TD+W2 222.274 T D+W2 0.307 TD+W3 100.573 T D+W3 0.802 TD+W4 180.638 C D+W4 2.299 C



5CE-D


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16-43

D+W5 5.505 T

22-49

D+W5 5.166 TD+W6 2.9 T D+W6 2.721 T

17-44

D+Lr 0.451 C

23-50

D+Lr 0 ---D+W1 0.376 T D+W1 0 ---D+W2 0.204 T D+W2 0 ---D+W3 0.071 T D+W3 0 ---D+W4 0.1 C D+W4 0 ---D+W5 0.643 T D+W5 0 ---D+W6 0.339 T D+W6 0 ---


24-51

D+Lr 3.438 C

8-34

D+Lr 49.482 TD+W1 3.041 T D+W1 41.479 CD+W2 3.041 T D+W2 16.692 CD+W3 0.435 T D+W3 8.437 CD+W4 0.435 T D+W4 16.299 TD+W5 5.505 T D+W5 69.702 CD+W6 2.9 T D+W6 36.711 C

25-52

D+Lr 0.091 C

10-36

D+Lr 47.197 TD+W1 0.078 T D+W1 37.725 CD+W2 0.055 T D+W2 18.847 CD+W3 0.013 T D+W3 7.304 CD+W4 0.01 C D+W4 11.535 TD+W5 0.136 T D+W5 64.19 CD+W6 0.072 T D+W6 33.808 C

26-53

D+Lr 3.393 C

12-38


2-28

D+Lr 55.1 T

14-40

D+Lr 43.345 TD+W1 49.742 C D+W1 28.645 CD+W2 12.893 C D+W2 26.955 CD+W3 10.836 C D+W3 4.271 CD+W4 25.937 T D+W4 2.584 CD+W5 82.038 C D+W5 51.489 CD+W6 43.208 C D+W6 27.119 C

4-30

D+Lr 53.141 T

14-42

D+Lr 43.345 TD+W1 47.12 C D+W1 33.108 CD+W2 13.802 C D+W2 5.746 TD+W3 10.105 C D+W3 8.657 C



5CE-D


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24-51

D+Lr 3.438 C

8-34


25-52

D+Lr 0.091 C

10-36

D+Lr 47.197 TD+W1 0.078 T D+W1 37.725 CD+W2 0.055 T D+W2 18.847 CD+W3 0.013 T D+W3 7.304 CD+W4 0.01 C D+W4 11.535 TD+W5 0.136 T D+W5 64.19 CD+W6 0.072 T D+W6 33.808 C

26-53

D+Lr 3.393 C

12-38


2-28

D+Lr 55.1 T

14-40

D+Lr 43.345 TD+W1 49.742 C D+W1 28.645 CD+W2 12.893 C D+W2 26.955 CD+W3 10.836 C D+W3 4.271 CD+W4 25.937 T D+W4 2.584 CD+W5 82.038 C D+W5 51.489 CD+W6 43.208 C D+W6 27.119 C

4-30

D+Lr 53.141 T

14-42

D+Lr 43.345 TD+W1 47.12 C D+W1 33.108 CD+W2 13.802 C D+W2 5.746 TD+W3 10.105 C D+W3 8.657 CD+W4 23.144 T D+W4 30.117 TD+W5 78.059 C D+W5 51.489 CD+W6 41.112 C D+W6 27.119 C

6-32

D+Lr 50.993 T

16-44




5CE-D


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4-30

D+W1 47.12 C

14-42

D+W1 33.108 CD+W2 13.802 C D+W2 5.746 TD+W3 10.105 C D+W3 8.657 CD+W4 23.144 T D+W4 30.117 TD+W5 78.059 C D+W5 51.489 CD+W6 41.112 C D+W6 27.119 C

6-32

D+Lr 50.993 T

16-44



18-46

D+Lr 47.197 T

4-32

D+Lr 68.908 CD+W1 38.419 C D+W1 60.432 TD+W2 13.765 C D+W2 18.968 TD+W3 7.986 C D+W3 12.832 TD+W4 16.617 T D+W4 28.547 CD+W5 64.19 C D+W5 100.387 TD+W6 33.808 C D+W6 52.872 T

20-48

D+Lr 49.482 T

6-34


22-50

D+Lr 50.993 T

8-36


24-52

D+Lr 53.141 T

10-38




5CE-D


9


26-54D+W4 5.336 T

12-40D+W4 2.781 C

D+W5 82.038 C D+W5 71.511 TD+W6 43.208 C D+W6 37.664 T

2-30

D+Lr 71.574 C

16-42




5CE-D


10


1-28D+W2 10.21 T

18-44D+W3 8.853 TD+W4 21.38 CD+W5 66.742 TD+W6 35.152 T

1-2

D+Lr 0 ---

20-46

D+W1 1.274 CD+W2 9.334 TD+W3 1.252 CD+W4 9.334 TD+W5 0 ---D+W6 0 ---

2-3

D+Lr 95.642 T

22-48

D+W1 87.254 CD+W2 13.635 CD+W3 19.913 CD+W4 53.552 TD+W5 141.951 CD+W6 74.764 C

3-4

D+Lr 95.669 T

24-50

D+W1 87.278 CD+W2 13.639 CD+W3 19.919 CD+W4 53.567 TD+W5 141.991 CD+W6 74.784 C

26-52

Member Axial Force (kN) T/C Member

4-5

D+Lr 191.068 T

10-11



5CE-D


11


Design of Members For Tensionft<¿=Ft

( ft= PA )=(Ft=0.6 Fy)

A= P0.6 Fy

Top Chord

Maximum Tensile Force

Member Tensile Forces (kN)Area Required

Section Section Area (sq. in) Adequacysq. mm sq. in

40-41

504.068 3360 5.209

2L 5X3X5/8 9.22 Adequate222.274 1482 2.297100.573 670 1.039851.255 5675 8.796448.343 2989 4.633

Bottom Chord


5-6191.068 T 1274 1.974

2L 3X3X3/894.104 T 627 0.972

6-7285.281 T 1902 2.948

2L 3X3X3/8129.469 T 863 1.338

Web Members



Section Section Area Adequacysq. mm sq. in

2-30

64.073 427 0.662

L 2-1/2X2X3/8 1.55 Adequate17.628 118 0.18213.855 92 0.143105.894 706 1.09455.773 372 0.576



5CE-D


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Design of Members For Tension

Central Web Member



Section Section Area (sq. in) Adequacysq. mm sq. in

14-41309.167 2061 3.195

2L 2-1/2X2-1/2X1/2 4.5 Adequate93.07 620 0.962



5CE-D


13


Design of Members for Compressionfa<¿=F a

Top Chord

Maximum Compressive Force

Member Compressive Forces (kN) SectionSection Properties

40-41602.151

2L 5X3X5/8r = 1.57 in E = 200000 Mpa

180.638 k = 1 Fy = 250 MpaL = 41.15 in A = 9.22 sq. in

Cc = 125.66371 KL/r = 26.210191

Intermediate Column

( ft= PA )=(Fa= (1−(KLr )2

2Cc2 )Fy58+3( KLr )8Cc −

( KLr )2

8Cc3)

( ft=602.151(1000)9.22 (25.4 )2 )=(Fa= (1− (26.210 )2

2 (125.664)2 )25058+3 (26.210 )8(125.664)

−(26.210 )3

8(125.664)3)

101.229MPa<140.251MPa

Section Is Adequate



5CE-D


14



Bottom Chord


Member Compressive Forces (kN) Trial SectionSection Properties

13-14

469.792

2L 3-1/2X3X1/2

r = 1.07 in E = 200000 Mpa186.611 k = 1 Fy = 250 Mpa95.806 L = 41.18 in A = 6 sq. in788.904415.504

Cc = 125.66371 KL/r = 38.485981

Intermediate Column

( ft= PA )=(Fa= (1−(KLr )2

2Cc2 )Fy58+3( KLr )8Cc −

( KLr )2

8Cc3)

( ft=788.904(1000)6 (25.4 )2 )=(Fa= (1− (38.486 )2

2(125.664)2 )25058+3 (38.486 )8 (125.664)

−(38.486 )3

8 (125.664)3)

203.8MPa>134.019MPa

Fail, Use Different Section



5CE-D


15


Design of Members for Compression

Try 2L 5x3x5/8:

Member Compressive Forces (kN) Trial SectionSection Properties

13-14

469.792

2L 5X3X5/8

r = 1.57 in E = 200000 Mpa186.611 k = 1 Fy = 250 Mpa95.806 L = 41.18 in A = 9.22 sq. in788.904415.504

Cc = 125.66371 KL/r = 26.229299

Intermediate Column

fa<¿=F a

( ft= PA )=(Fa= (1−(KLr )2

2Cc2 )Fy58+3( KLr )8Cc −

( KLr )2

8Cc3)

( ft=788.904(1000)9.22 (25.4 )2 )=(Fa= (1− (26.229 )2

2(125.664)2 )25058+3 (26.229 )8 (125.664)

−(26.229 )3

8 (125.664)3)

132.625MPa<140.242MPa

Section Is Adequate



5CE-D


16



Web Members

Maximum Compressive Force1-28

D+W5 66.742 T 445 0.690

L 2-1/2X2-1/2X3/8

-66.742D+W6 35.152 T 234 0.363 -35.152

1-2

D+Lr 0 --- 0 0.000

2L 3X3X3/8

0D+W1 1.274 C 8 0.013 1.274D+W2 9.334 T 62 0.096 -9.334D+W3 1.252 C 8 0.013 1.252D+W4 9.334 T 62 0.096 -9.334D+W5 0 --- 0 0.000 0D+W6 0 --- 0 0.000 0 -563.321

2-3

D+Lr 95.642 T 638 0.988

2L 3X3X3/8

-95.642 469.792

( ft= PA )=(Fa= (1−(KLr )2

2Cc2 )Fy58+3( KLr )8Cc −

( KLr )2

8Cc3)

( ft=71.574(1000)1.55 (25.4 )2 )=(Fa= (1− (80.378 )2

2(125.664)2 )25058+3 (80.378 )8 (125.664)

−(80.378 )3

8 (125.664)3)

71.574MPa<106.126MPa

Section Is Adequate



5CE-D


17



Central Web Member


2-3 D+W3 19.913 C 133 0.206 2L 3X3X3/8 19.913 -186.789D+W4 53.552 T 357 0.553 -53.552 788.904D+W5 141.951 C 946 1.467 141.951 415.504D+W6 74.764 C 498 0.773 74.764

3-4

D+Lr 95.669 T 638 0.989

2L 3X3X3/8

-95.669D+W1 87.278 C 582 0.902 87.278D+W2 13.639 C 91 0.141 13.639D+W3 19.919 C 133 0.206 19.919D+W4 53.567 T 357 0.554 -53.567D+W5 141.991 C 947 1.467 141.991 71.574D+W6 74.784 C 499 0.773 74.784 32.493

( ft= PA )=(Fa= (1−(KLr )2

2Cc2 )Fy58+3( KLr )8Cc −

( KLr )2

8Cc3)

( ft=258.882(1000)4.5 (25.4 )2 )=(Fa= (1− (26.644 )2

2(125.664)2 )25058+3 (26.644 )8(125.664)

−(26.644 )3

8(125.664)3)

89.171MPa<140.047MPa

Section Is Adequate



5CE-D


18


Summary:

Top Chord: Web Bars:

2L 5x3x1/8 L 2-1/2x2x3/8

Bottom Chord: Central Web Member:

2L 5x3x1/8 2L 2-1/2x2-1/2x1/2

Unity Check:

No Failed Member



5CE-D


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