Challenge

Week 10 Challenge

Step 1:-In the grid put 0

then go to translational repeat

type on spacing 50

link steps

ok

Then copy both the nodes

go to translational repeat

click on Y axis

type 12 in spacing

then join both the nodes

click on beam and right click

then go to insert node

add mid point

copy the mid point

and creat a node 2.5m up

then join the nodes both side

then copy the end node

in 1.2m distance

creat nodes

then mirror it with pick point other side

Step 2:-

No. of Horizontal member at Roof Level along single roof = (Length of Rafter / Spacing) + 1

Length of Rafter = √[(Half of Span)2 + (Height of Rafter)2]

=√(252 + 2.52)

Length of Rafter = 25.1247 m

No. of Horizontal members at roof level = (25.1247 / 1.2) + 1 = 20.94 + 1 = 21.94

Says = 22 Nos

In 22 Nos,

Top most one is Ridge and Last one is Eave Strut.

Therefore Remaining Members are Purlin.

No. of Purlin for entire span = 2 x 20 = 40 Nos.

Step 3:-

No. of Girts = Height of column / Spacing

Height of Column = 12 m

Brick wall height = 2 m

Hence girts arranged in remaining 10 m

No. of Girts on one side = 10 / 1.5 = 6.67

Says 7 Nos

Total number of Girts on both side = 2 x 7 = 14 Nos.

Result:-

  • Number of Purlins on Entire span = 40 Nos
  • Number of Girts on both Side = 14 Nos
  • Number of Ridge = 1 No
  • Number of Eave Struts = 2 Nos
  • 2) Run the analysis
  • go to post processing mode
  • done
  • go to result
  • layout
  • utilization
  • then double click on beam
  • go to beam result
  • then go to steel design
  • utilization ratio= FX/FCY
  • Ned/N1 rd >1
  • 3) Given data:-

    Dimension of Building = 10 m x 5 m

    Height = 6m

    Bay spacing = 2.5 m

    Wall opening = 15%

    Building is situated in Chennai

    Assume:-

    1) Terrain Category 3

    2) Design life of the structure 50 years

    3) Topography: Plane with upwind slope Ɵ < 3°

    4) Roof Angle = 5°

    Aim:-

    To calculate the wind pressure on the wall of building with the given inputs.

    Procedure:-

    Step 1:-

    Basic wind speed Vb = 50 m/s ( For Chennai as per IS 475 part-3 Fig. 1)

    Design wind speed Vz = Vb x K1 x K2 x K3 x K4

    Where K1­ is Probability factor (risk coefficient) taken from Table 1

    Considering general building and structure and Vb =50 m/s

    K1 = 1.0 for design life of structure 50 years & and for given Basic wind speed of 50 m/s

    K2 is Terrain roughness & height factor taken from Table 2

    K2 = 0.91

    K3 = Topography factor for Upwind slope < 3° from Clause 6.3.3

    K3 = 1.0

    K4 = Importance factor for cyclonic region for Industrial Structure from Clause 6.3.4

    K4 = 1.15

    Therefore Vz = 1.0 x 0.91 x 1.0 x 1.15 x 50 = 52.325 m/s

    Step 2:-

    Wind pressure Pz = 0.6 (Vz)2

    Where,

    Pz = wind pressure at height z in N/m2

    Vz = design wind pressure at height z in m/s

    Therefore

    Pz = 0.6 x (52.325)2 = 1.643 kN/m2

    Step 3:-

    Design wind pressure Pd = Kd x Ka x Kc x Pz

    Where,

    Kd = wind directionality factor 1.0 for cyclone affected region

    Ka = Area averaging factor 0.9 for tributary area < 25 m2

    (Tributary area = 6 x 2.5 = 15 m2)

    Kc = combination factor 0.9

    Therefore

    Pd = 1.0 x 0.9 x 0.9 x 1.643 = 1.331 kN/m2

    Step 4:-

    Wind load acting in a direction normal to the individual structural element or cladding unit

    F = (Cpe – Cpi) x A x Pd

    Where,

    Cpi = internal pressure coefficient

    Cpi = +0.5 and -0.5 for opening of 15% of wall area i.e. medium permeability (Clause 7.3.2.2 of IS :475, part 3)

    External pressure coefficient:

    L = 10 m; w = 5 m; h = 6 m

    h/w = 6 / 5 = 1.2

    l/w = 10 / 5 = 2

    Thus as per table 5 of clause 7.3.3.1 of IS:475, Part 3

    For 1/2 < h/w < 3/2 and 3/2 ≤ l/w < 4

    Wind angle Ɵ

    Cpe

    Wall A

    Wall B

    Wall C

    Wall D

    0°

    +0.7

    -0.3

    -0.7

    -0.7

    90°

    -0.5

    -0.5

    +0.7

    -0.1

    Case-I Ɵ = 0°

    Cpnet = Cpe - Cpi

    For Wall A

    Cpnet = +0.7 – (+0.5) = +0.2 (Pressure)

    Cpnet = +0.7 – (-0.5) = +1.2 (Pressure)

    Design Wind Force for Wall A

    F = Cpnet x A x Pd

    FA = +0.2 x 6 x 2.5 x 1.331 = +3.993 kN (Pressure)

    FA = +1.2 x 6 x 2.5 x 1.331 = +23.958 kN (Pressure)

    For Wall B

    Cpnet = -0.3 – (+0.5) = -0.8 (Suction)

    Cpnet = -0.3 – (-0.5) = +0.2 (Pressure)

    Design Wind Force for Wall B

    F = Cpnet x A x Pd

    FB = -0.8 x 6 x 2.5 x 1.331 = -15.972 kN (Suction)

    FB = +0.2 x 6 x 2.5 x 1.331 = +3.993 kN (Pressure)

    For Wall C & D

    Cpnet = -0.7 – (+0.5) = -1.2 (Suction)

    Cpnet = -0.7 – (-0.5) = -0.2 (Suction)

    Design Wind Force for Wall C & D

    F = Cpnet x A x Pd

    FC&D = -1.2 x 6 x 5 x 1.331 = -47.916 kN (Suction)

    FC&D = -0.2 x 6 x 5 x 1.331 = -7.986 kN (Suction)

    Case-II Ɵ = 90°

    Cpnet = Cpe - Cpi

    For Wall A & B

    Cpnet = -0.5 – (+0.5) = -1.0 (Suction)

    Cpnet = -0.5 – (-0.5) = 0.0

    Design Wind Force for Wall A & B

    F = Cpnet x A x Pd

    FA&B = -1.0 x 6 x 2.5 x 1.331 = -19.965 kN (Pressure)

    FA&B = 0.0 x 6 x 2.5 x 1.331 = 0.000 kN

    For Wall C

    Cpnet = +0.7 – (+0.5) = +0.2 (Pressure)

    Cpnet = +0.7 – (-0.5) = +1.2 (Pressure)

    Design Wind Force for Wall C

    F = Cpnet x A x Pd

    FC = +0.2 x 6 x 5 x 1.331 = +7.986 kN (Pressure)

    FC = +1.2 x 6 x 5 x 1.331 = +47.916 kN (Pressure)

    For Wall D

    Cpnet = -0.1 – (+0.5) = -0.6 (Suction)

    Cpnet = -0.1 – (-0.5) = +0.4 (Pressure)

    Design Wind Force for Wall D

    F = Cpnet x A x Pd

    FD = -0.6 x 6 x 5 x 1.331 = -23.958 kN (Suction)

    FD = +0.4 x 6 x 5 x 1.331 = +15.972 kN (Pressure)

    Result:-

    Maximum design Pressure on the Wall = 47.916 kN

  • 4) Given data:-

    Self Weight factor – 1.1

    Roof Sheet loading = 0.5 kN/m2

    Purlin load = 6 kN/m2

    Live Load on Roof = 1.5 kN/m2

    Wind Load on rafter (Pressure) = 2 kN/m2

    Assume Frame height as 5m

    Support as Fixed.

    Total Dead Load = 0.5 + 6 = 6.5 kN/m2

    Dead Load on Main frame = 6.5 x 6 = 39 kN/m2

    Dead Load on Gable frame = 6.5 x 6 / 2 = 19.5 kN/m2

    Live Load on Main frame = 1.5 x 6 = 9 kN/m2

    Live Load on Gable frame = 1.5 x 6 / 2 = 4.5 kN/m2

    Wind Load on Main frame = 2 x 6 = 12 kN/m2

    Wind Load on Gable frame = 2 x 6 / 2 = 6 kN/m2

    Aim:-

    To apply Dead load, Live Load & Wind Load on the structure and find the support reaction.

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