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    GEOMETRY OF TRUSS SYSTEM

    Slope of roof, a=8. 53 m=0.15

    Sina=0.148 cosa=0.989 tana=0.15

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    O1 3.29 V1 1 D1 3.57 U1 6.5

    O2 3.29 V2 1.98 D2 3.57 U2 7

    O3 3.54 V3 1.98 D3 4.3 U3 6.5

    O4 3.54 V4 1 D4 4.3

    O5 3.29 D5 3.57

    O6 3.29 D6 3.57

    DIMENSIONS OF MEMBERS(M)

    ANALYS OF LOADS

    SELF WEIGHTS:

    Roof coating : 12kg/m2 ( horizontal plane)

    Purlin self weight : 10kg/m2 ( horizontal plane)

    Stability connections :

    = 2kg/m2 ( horizontal plane)

    Wight of hardware : 15kg/m2 ( horizontal plane)

    Weight of truss : 24kg/m2 ( horizontal plane)

    Snow load : 184kg/m2(horizontal plane)

    Wind load : 80kg/m2 (roof plane)

    SNOW LOAD:

    Pk= m x Po for a

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    WIND LOAD:

    Pr=c x q c =1.2 x 0.4

    c = -0.222

    Pr=-0.222 x 80 = -17.76 kg/m2

    P pull= 0.4 x*80 = 32.00 kg/m2

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    PURLIN DESIGN

    Purlins made of I profiles. Roof coating materials are made of corrugated steel sheets and maximum space is

    3.5 m which carry 196 kg/m2. Bottom and top steel sheet thicknesses are 0.7mm. Its

    eps thickness is 70mm.

    Distance between the purlins are changing,you can see this distance from the upperdrawings.

    Maximum distance will be used for the purlin design and it is 3.5m.

    Distance between two truss system is 4m.

    Total q= dead loads +snow loads (wind loads is not calculated because of pulling !!)

    Totalq=(12 + 10 + 2 + 184)x3.54 = 736.32 kg/m

    Simple beam have 8.53 degree so we have qx qy .

    Also we have two purlin braches for y axis.

    qx = 736.32 x = 728.17 kg/m

    qy = 736.32 x = 109.22 kg/m

    Mx=

    =

    = 145.6 tcm

    My =

    =

    (

    )

    = 2.43 tcm

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    For I 180 Ix =1450cm4 Iy =81.3 cm

    4

    Wx =161 cm3

    Wy =19.8 cm3

    STRESS CONTROL:

    s=

    +

    =

    +

    =1.02< 1.44 kg/m2

    DISPLACEMENT CONTROL:

    f = 6.20 x

    ( q=t/m , l= m , I=cm4 ) fmax =

    fx = (6.20 x 0.728 x 44

    ) / 1450 fx = 0.799 cm

    fy = (6.20 x 0.11 x (4/3)4) / 81.3 fy = 0.027 cm

    f = (0.7992 + 0.0272) = 0.8 cm

    fmax = 400/300 =1.33cm

    f< fmax it is done

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    TIE BAR CONTROL:

    Z =

    qy

    qy = 3 x109.22 =327.66kg/m

    Cos= 0.936

    Z =4/(3x0.936) x 327.66

    Z=466.74 kg

    Chosen tie bar = 8

    Fz = ( (0.86 x 0.8)2)/4 Fz=0.372 cm2

    466.74/0.372= 1254 677 kg/cm2 < 1440 kg/cm2

    Tie bar is checked and it is usefull

    RESULTS:

    Purlins are I 180 and purlins are design by two tie bars. Tie bars are 8

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    ANALYS OF TRUSS SYSTEM

    SELF WEIGT LOADING

    FULL SNOW LOADING

    HALF SNOW LOADING

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    RIGHT WIND LOADING

    LEFT WIND LOADING

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    SELF WEIGT LOADING

    Mb=0 , (0.41 x 20)+(0.83 x 16.75)+(0.86 x 13.5)+(0.89 x 10)+(0.86 x 6.5)+(0.83 x 3.25)

    = 20 x A A = 2.55 t

    Fy= 0 B = 2.55 t

    USING RITTER METHOD, we can seperate the system from the O1 frame and equation is

    like that;

    -(0.41 x 3.25) + (2.55 x 3.25) = 1.49 U1 U1 = 4.67 t

    From the firs node those equations are calculated;

    U1 = 0.91 x D1 , (0.416 x D1) + V1 = 2.55 t

    V1 = -0.42 t, D1 = -5 13 t

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    First node

    From the 2. Node O1 = 0 t

    Calculation of 4. Node ( Ritter method)

    (2.55 x 6.5)(0.41 x 6.5)( 0.83 x 3.25) +(1.95 x O2 ) = 0

    O2 = - 5.75 t

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    Calculation of 3. Node

    D2 (horizontal) + 4.67 -5 67 = 0 D2 (horizontal) = 1 t

    D2 (vertical) +0.83 +0.852.13 = 0 D2 (vertical) = 0.45 t

    D2 = (12+ 0.452)(1/2) D2 = 1.1 t

    From the geometry of truss system V2 = -0.86 t

    U2 is calculated ritter metod, truss system seperated from O3 and moment values calculated to

    the ridge point;

    (2. 55 x 10)( 0.41 x 10)(0.83 x 6 75) - (80.86 x 3.5) ( U2 x2.5) = 0

    U2 = 5.12 t

    D3 is calculeted from the 5. Node and D3 = 0.69 t

    Truss system is symmetric so the other ones are equal to those values.

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    FRAME FORCES FOR THE OTHER LOAD PATTERN

    LEFT WIND

    Text Tonf

    D1 1.7768

    D2 -0.4733

    D3 -0.0821

    D4 -0.5104

    D5 -0.3489

    D6 2.207

    O1 0.0175

    O2 2.1214

    O3 2.1577

    O4 2.5101

    O5 2.4446

    O6 0.0315

    U1 -1.5452

    U2 -1.9087

    U3 -2.0068

    V1 0.1183

    V2 0.2447

    V3 0.4419

    V4 0.2123

    FULL SNOW

    Text Tonf

    D1 -14.9854

    D2 3.2061

    D3 2.0279

    D4 2.0279

    D5 3.2061

    D6 -14.9854

    O1 0

    O2 -16.7263

    O3 -16.7263

    O4 -16.7263

    O5 -16.7263

    O6 0

    U1 13.626

    U2 14.8911

    U3 13.626

    V1 -1.211

    V2 -2.513

    V3 -2.513

    V4 -1.211

    DEAD LOADS

    Text Tonf

    D1 -5.1361

    D2 1.0988

    D3 0.6951

    D4 0.6951

    D5 1.0988

    D6 -5.1361

    O1 0

    O2 -5.7327

    O3 -5.7327

    O4 -5.7327

    O5 -5.7327

    O6 0

    U1 4.6702

    U2 5.1037

    U3 4.6702

    V1 -0.4149

    V2 -0.8613

    V3 -0.8613

    V4 -0.4149

    HALF SNOW(RGHT)

    Text Tonf

    D1 -4.4729

    D2 2.2648

    D3 -1.6216

    D4 3.6443

    D5 0.9414

    D6 0

    O1 0

    O2 -6.195

    O3 -6.195

    O4 -10.528

    O5 -10.528

    O6 0

    U1 4.0671

    U2 7.446

    U3 9.5555

    V1 0

    V2 0

    V3 -2.51

    V4 -1.21

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