Challenge

Project 2

1. Design a Warehouse Building located in Chennai using STAAD Pro Connect Edition. The specification must be as follows:

Width

30m

Length

50m

Eave Height

9m

Bay spacing

6m

Soil type

Medium

Safe Bearing Capacity

200 kN/m2

Roof slope

1 in 12

Assume suitable sections for structural elements. Follow IS800:2007, IS1893 and IS 875

  1. Prepare a Design Basis Report for the project
  2. Create structural model using STAAD Pro Connect Edition
  3. Prepare DL, LL, WL and EQL load calculations as per IS 875 standards
  4. Design using MS – Excel
    1. Steel column
    2. Rafter
    3. Base plate
    4. Pedestal
    5. Z- purlin
  1. Design Foundations using STAAD Foundation.
  2. Attach necessary sketches and drawings wherever required.
  3. All stipulations, assumptions and design parameter
  4. must adhere to Indian Standards.

ANS-

1. ROOF SLOPE ASSUME = X

GIVEN SLOPE =1/12

B= 30M

X/[b/2] = 1/12

X/15 1/12

X = 15/12 = 1. 25 m

3-D RENDERED MODEL

2. material

STEEL

3.SPECIFICATIONS

-MEMBER TENSION IN BRACING SYSTEM

BETWEEN RAFTERS

-REALEASE MOMENTS END AND START

4 . SUPPORT - PIN SUPPORT

5. LOADING

LOAD CASES DETAILS -

1. EQ+X

2.EQ+Z

3.DEAD LOAD -

-self weight -1.15 KN/M

-Main frame rafter GY-1.856 KN/M

-GABLE FRAME RAFTER -.928 KN/M

- MAIN FRAME COLUMN GY-1.31 KN/M

-GABLE FRAME COLUMN GY -0.655 KN/M ,

-GABLE / WIND COLUMN GY -1.04 KN/M ,

-WIND FRAME POINT LOAD FY -1 KN/M ,

-GABLE FRAME POINT LOAD FY-0.58 KN/M

4.LIVE LOAD -

-Main frame rafter GY-5 KN/M

-GABLE FRAME RAFTER -2.625 KN/M

-WIND FRAME POINT LOAD FY -4.375 KN/M ,

-GABLE FRAME POINT LOAD FY-2.187 KN/M

SEISMIC DEFINATION:

Zone Parameters:

MEMBER WEIGHT :

ASSIGN to edit list from followed by dead load

-

-self weight Y -1.15 KN/M

-Main frame rafter GY-1.856 KN/M

-GABLE FRAME RAFTER -0.928 KN/M

- MAIN FRAME COLUMN GY-1.31 KN/M

-GABLE FRAME COLUMN GY -0.655 KN/M ,

-GABLE / WIND COLUMN GY -1.04 KN/M ,

JOINT WEIGHT -

LOAD CASES DETAILS -

5. WIND LOAD [O+ CPi]

6.WIND LOAD [O-CPi]

7 WIND LOAD [9O+ CPi]

8.WIND LOAD [9O-CPi]

DESIGN OF RAFTER -


2. Design a simply supported gantry girder to carry electric overhead travelling crane

Given:

Span of gantry girder = 7 m

Span of crane girder = 9 m

Crane capacity = 250 kN

Self-weight of trolley, hook, electric motor etc. = 40 kN

Self-weight of crane girder excluding trolley = 100 kN

Minimum hook approach = 1.0 m

Distance between wheels = 3 m

Self-weight of rails = 0.2 kN/m

DESIGN OF STEEL COLUMN:

Solution:

Flange thickness = T = 12.7 mm.

Overall height of Column ISMB400 = h = 400 mm.

Clear depth between flanges = d = 400 – (12.7 x 2)
= 374.6 mm.

Thickness of web = t = 10.6mm.

Flange width = 2b = bf = 250 mm.

Hence, half Flange Width = b = 125 mm.

Self –weight = w = 0.822 kN/m.

Area of cross-section = A = 10466 mm2.

Radius of gyration about x = rx = 166.1 mm.

Radius of gyration about y = ry = 51.6 mm.

Type of section:

b/T = 125/12.7= 9.8 < 10.5

d/t =374.6/10.6 =35.3 < 42

(Table 3.1 of IS: 800)

Hence, cross-section can be classified as “COMPACT”.

Effective Sectional Area, Ae = 10,466 mm2

(Since there is no hole, (Clause 7.3.2 of IS: 800)
no reduction has been considered)

Effective Length:
As, both ends are pin-jointed effective length, KLx = KLy = 3m

Slenderness ratios:

KLx/rx = 9000/166.1 =54.1

KLy/ry = 9000/51.6 =174.41

Non-dimensional Effective Slenderness ratio, λ">λ3.3X7^2/8:

λ">λ =

=2.5X(174)2π2X2X105">√2.5X(174)^2/π^2X2X10^5= 3.83

Value of ϕ">ϕts=√2.5w(a2−0.3b2)γm0fy>tf from equation:

`ence, α">α = 0.34 for buckling class ‘b’ will be considered.
Hence, ϕ">ϕ = 0.5 x [1+0.34 x (0.654-0.2)+0.6542] = 0.79`

Calculation of x from equation x:

= 0.809

Calculation of fcd from the following equation:

= 0.809 x 250/1.1 = 183.86 N/mm2

Factored axial load in kN.
pd = Ag fcd
= 10466 x 183.86/1000 = 1924.28 kN.

DESIGN OF RAFTER:

Solution:

Span of Rafter = 6 m

Dead load = 18KN/m

Imposed load = 40KN/m

support bearing = 100mm

yield strength = 250N/mm2

Design load calculation:

Factores load 1.5(DL+LL) =87 KN/m

Factores Bending moment = Wl28">10^6Wl28">Wl^2/8= 65.25 KN/m

Section modulus Required:

Z reqd = (65.25 x x1.1) /250 =287100 mm3 = 287.1 cm3

Section classification:

ISMB-200

A = 323.3 mm2

D = 200mm

B = 100mm

t = 5.7 mm

T = 10.8 mm

Ixx = 2235.4 cm4

Iyy = 150 cm4

Zp = 375.35 cm3

Moment of resistence of the cross-section:

Md = βbZpfyγm0">βbZpfy/γm0

= (1 x 375.35 x 250) / ( 1.1)

Md = 85.306 > 65.25 KN/m

DESIGN OF BASE PLATE:

Strength of concrete, Fcu = 40 N/mm2

Yield strength of steel, fy = 250 N/mm2

Material factor, γm">γmF/A−6XMz/BL^2= 1.1 KN

Factoresl oad = 1500 KN

Steel column section:

Thickness of flange, T = 12.7 mm

Area required:

Bearing strength of concrete = 0.4fcu = 0.4 x 40 = 16 N/mm2

= (1500x1000) /( 16)

= 93750 mm2

Let size of plate , Bplate = 450 mm

Dplate = 300 mm

Area of plate= 135000 mm2

projection on each side = a=b =25mm

W = (1500x1000) /( 450 x 300)

= 11.11 N/mm2

Therefore, Thickness of Base Plate, clause 7.4.3.1

LXσ1σ1+σ2

ts= 7.3 mm < 12.7 mm

Size of Base plate 450 x 350 x 16 mm

DESIGN OF PEDESTAL:

Grade of concrete = 40 N/mm2

Load = 200 KN

Moment = 120 KN

Horizontal shear = 20 KN

Yield strength = 250 N/mm2

Length of base plate = 450 mm

Width of base plate = 350 mm

C/C distance of bolt in group-Z = 300 mm

C/C distance of bolt in group-X = 180 mm

Bearing strength of concrete Fc = 16 N/mm2

Depth of Column = 300 mm

Width of Column = 250 mm

Anchor Bolt Details

Dia of anchor bolts =24 mm

No:of anchor bolts in each side = 4

Total no:of anchor bolts, n = 8

Gross area of the bolt ;Asb' = 452.16 mm2

Net area of bolt 'Anb' = 352 mm2

Ultimate tensile strength of bolt 'fub' = 400 N/mm2

Fyb (anchor bolts) = 240 N/mm2

Base plate Details

Ultimate tensile strength of plate 'fu' = 490 N/mm2

Thickness of plate = 16 mm

Yield stress of plate = 330 N/mm2

Anchor bolt design

Area of the plate = 157500 mm2

Stress, Maximum pressure =FA+6XMzBL2">F/A+6XMz/BL^2

= 10.6 N/mm2 < 16 Hence OK

Minimum pressure =

= -9.04 N/mm2 < 16 Hence OK

Centroid = = 242.89 mm

a =L/2-C/3 = 144.04 mm

e = (L-Ld) / 2 =75 mm

y = (L - C/3-e) = 294.04 mm

Tension in anchor bolt along the length of plate, FT = (Mz - Fa)/Y

= 364.38

Tension per bolt = 91 KN

Shear per bolt = 1.63 KN

Shear Check

Factored shear force = Vsb = 1.63 KN

Vd,sb = 81290.9 N

= 81 KN

Factored = 65.03 KN

Tensile Check

Factored tensile force in bolt, Tb = 91.1 KN

Tensile strength of bolt Ts,b = Tn,b /γmb">γmb= 126 KN

Td,b = 98.65 KN

Combined Unity Check

Vsb/Vdb = 0.025

Tb/Tdb = 0.92

Unity check = 0.85 < 1, Hence OK

Anchor Bolt Length

Bond strength in tension, τbd">τbd= 1.4 N/mm2

Anchor length required = Tb(3.14*τbd">τbd)

= 863.44 mm

Let Anchor Bolt Length = 900 mm

Width

30m

Length

50m

Eave Height

9m

Bay spacing

6m

Soil type

Medium

Safe Bearing Capacity

200 kN/m2

Roof slope

1 in 12

DESIGN OF -Z PURLIN-

STEP -1 WIND LOAD ON MEMBERS
WIND LOAD ON MEMBERS F = [Cpe -Cpi] .A. Pd
INTERNAL PRESSURE COFFICIENT Cpi -0.5
external pressure cofficient Cpe
length of building L L =70M 80
WIDTH OF BUILDING B =35M 40m
HEIGHT OF COLUMN H = 10
RATIO L/B = 2
H/W = 0.26
ROOF ANGLE 1/12 = 4.76 DEGREE
TAKE = 5 degree
DESIGN WIND PRESSURE Pd 1.48 kn/m2
governing spacing for rafter 7m
step-2 Cpe values -Roof
TABLE 6
0 DEGREE 90 DEGREE
EF GH EG GH
-0.9 -0.4 -0.8 -0.4
STEP-3 WIND LOAD ON RAFTER
angle face Cpe Cpi + Cpi - Cpe - Cpi Cpe - Cpi Pd for + Pd for -
for + for -
0 DEGREE EF -0.9 0.5 -0.5 -1.4 -0.4 -14.52 -4.15
GH -0.4 0.5 -0.5 -0.9 0.1 -9.34 1.04
90 DEGREE EG -0.8 0.5 -0.5 -1.3 -0.3 -13.49 -3.11
FH -0.4 0.5 -0.5 -0.9 0.1 -9.34 1.04

2. Design a simply supported gantry

girder to carry electric overhead travelling crane

Given:

Span of gantry girder = 7 m

Span of crane girder = 9 m

Crane capacity = 250 kN

Self-weight of trolley, hook, electric motor etc. = 40 kN

Self-weight of crane girder excluding trolley = 100 kN

Minimum hook approach = 1.0 m

Distance between wheels = 3 m

Self-weight of rails = 0.2 kN/m

0 SPAN OF GANTRY GIRDER 7M
SPAN OF CRANE GIRDER 9M
CRANE CAPACITY 250KN
SELF WEIGHT of trolley ,hook,motor 40kn
self weight of crane girder exciluding trolley 100KN
Minimum hook approch 1m
distance between wheels 3m
self weight of rails 0.2 kn/m
Maximum moment due to vertical load
weight of trolley + weight of load lifted [CRANE CAPCITY] =[250+40] 290 kn
self weight of crane girder exciluding trolley 100KN ly 100 kn
for maximum reaction on girder ,the moving load should be
as close to the gantry as possible
Reaction at A RA

For maximum reaction on gantry girder, the moving load should be as close the gantry girder as possible.

Ra=290X89+1002=307.77KN">290X89+1002=307.77KN

=307.77 KN
LOAD ON GANTRY GIRDER FROM EACH WHEEL 307.77/2 =158.88 KN
FACTORED WHEEL LOAD 1.5 X158.88 =230.83KN

-MAXIMUM MOMENT = Wheel are equl distance from center of grder Me -moment due to impact =[0.25x333.90]=83.47 kn-m

Me

RD= 230.83 x (3-1.5-0.75) + 230.83 x (3+0.75) = 148.40 KN

7

Max. moment, Me = 148.40 x 2.25 = 333.90 KN-m

=333.90kn
let self weight of girder = 2kn/m
dead load [ self wt. + rails ] 2.2 kn/m
FACTORED dead LOAD 2.2 x 1.5 3.3 kn/m
M due to dead L. 20.21 kn/m
M due to impact load [0.25x333.90]=83.47 kn-m 83.47 kn/m
factored mom. Due to all vertical loads [Mz= 333.90 +83.47+20.21] M= 482.17 kn/m
STEP- 3 MAXIMUM MOM. DUE TO LATERAL LOADS
Horizontal force transfered to rails kn [10/100]x[250+40] 29kn
horizontal force distributed over 4 wheels on each wheels loads 29/4 7.25 kn
factored horizontal force 1.5 x 7.25 10.875kn
maximum mom. MAX .MOM . IN gantry girder the position of loads is same as earlier expect that it is horizontal so by proportioning we get [10.875/230.83]x333.90 15.73 kn -m
SHEAR FORCE vertcal shear due to wheel loads

230.83+[230.83 X3]/7

For maximum shear force on the girder, the trailing wheel should be just on the girder as shown below.

329.75 kn
impact 82.13
self weight 9.9 kn
total shear 420.5kn
total shear due to surge 17.28kn
step 4 section determination
minimum economic depth D=7000/12 L/12
583.33 mm
WIDTH OF COMPRESSION FLANGE L/40 TO L/30=7000/30 TO 7000/40
175 to 233
REQUIRED PLASTIC MODULUS Zp 1.4 X M/Fy
1.4 X437.58X10^6/250

=2450X10^3

MM3

let us try ISMB 550 WITH ISMB 250 ON COMPRESSION FLANGE
STEP -5 PROPERTIES OF SELECTED SECTION TAKE AS PER CODE

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