Load Calculation for Truss Wind load F= (Cpe-Cpi)xAxPd Where Cpe = External pressure coefficient, Cpi = Internal Pressure coefficient, A= Surface area of structural element or cladding unit, pd= Design wind pressure = 0.6Vz2 Where, Vz= Design wind velocity (m/s) at any height z above ground = Vbxk1xk2xk3 Basic Wind Speed ( Vb ) Vb
47 m/s
Risk Cofficient ( k1 Factor ) Class of structure 1 = General Building 3 = Isolated tower, farm buildings
4 2= Temporary sheds , formwork , etc. 4= Important like hospitals, communication Tower, power plant
k1= 1.07 Terrrain, Height, Structure Size Factor ( k2 factor ) 2 B 4.3 m 0.98
Terrain Category Structure Class Eaves Height k2
Design Wind Speed Basic wind speed (Vb) 47 m/sec k1 1.07 k2 0.98 k3 1 Design Wind Speed( Vz )=Vb* k1 * k2 * k3 = 49.2842 m/sec Pressure Coefficient Design Wind Pressure ( pz ) = 0.6 Vz2 =
1457.35942 N/m2
Pressure coefficient Slope of Truss Eaves Height ( h ) Width of the Truss ( w ) h/w Wind Pressure Calculation A) Wind Normal To The Ridge ( 0o )
18 4.3 m 13.4 m 0.32
Direction
Cpe
Wind ward(EF)
-0.56
Lee ward(GH)
-0.4
Cpi 0.2 -0.2 0.2 -0.2
Pressure (KN/m2) -524.6493918422 -1107.5931605558 -291.4718843568 -874.4156530704
B) Wind Parallel To The Ridge ( 90o) Direction
Cpe
Wind ward(EF)
-0.72
Lee ward(GH)
-0.6
Hence
Wind Pressure
Cpi 0.2 -0.2 0.2 -0.2
Pressure (KN/m2) -757.8268993277 -1340.7706680413 -582.9437687136 -1165.8875374272
-1.3407707 KN/m2 -0.2914719 KN/m2
LOADING PARAMETERS Live Load Reduced Live Load Dead Load LOADING ON PURLINS Spacing between purlins Dead load Live Load Wind Load
0.75 0.59 0.2
KN/m2 KN/m2 KN/m2
0.88 m 0.176 KN/m 0.5192 KN/m -1.1798782 KN/m -0.2564953 KN/m
Upwind Upwind
mwork , etc. ls, communication Tower,
Pressure (KN/m2) -524.6493918422 -1107.5931605558 -291.4718843568 -874.4156530704
Pressure (KN/m2) -757.8268993277 -1340.7706680413 -582.9437687136 -1165.8875374272
roof ang alpha wind angle theta 20 -0.4 18 -0.48 30 0
Height
k2 0 4.3 10
0.98 0.98 0.98
roof ang a wind angle theta 10 -0.8 18 -0.72 20 -0.7
Design of Bolted Gusseted Base with Axial Load and Moment Grade of Concrete Bearing Strength of concrete = 0.45* f ck
M 25
Grade pf Steel fy fu fub Member from which the load is tranferred Thickness of flange ( tf )
Fe
ISNB
11.25 N/mm2 250 250 N/mm2 410 N/mm2 400 N/mm2 165.1 4.8 mm
Partial Safety Factor for Materials
Resistance,governed by yeilding( gm0 )
1.1
Resistance of member to buckling ( gm0 )
1.1
Resistance, governed by ultimate stress ( gm0 )
1.25
Resistance of connection:
Shop Fabrication
Field Fabrication
i) Bolts-Friction Type ( gmf )
1.25
1.25
ii) Bolts-Bearing Type ( gmb )
1.25
1.25
iii) Rivets ( gmr )
1.25
1.25
iv) Welds ( gmw )
1.25
1.5
Design Compressive Load (P) Design Bending Moment (M) Eccentricty, ( e ) =
95 KN 0 KN-m M P
Provide Two Cleat Angles of specification Height = 0 mm Length = 0 mm Thickness = 0 mm Area of Base Plate Required = P 0.45*fck Length of base plate Provide Length of Base Plate ( L ) =
0 mm
ISA 100x65x8 mm
8444.444 mm2
91.89366 mm 400 mm
Now, e L Now , We know
when
0 (e/L) < (1/6)
(e/L) < (1/6) P(1+((6*e)/L)) LB
Pressure distribution =
This pressure distribution should not be greater than bearing strength of concrete Equating Bearing Strength with the pressure distribution formula We get, Breadth of Base Plate = Provide Base Plate breadth ( B ) = Provided size of Base Plate (L x B )= Area of base plate ( A ) = Elastic Section Modulous (Ze)
400
x
21.11111 mm 400 mm 400 mm 160000 mm2 10666667 mm3
Projection from end of angle to end of base plate ( Lp)
117.45 mm
Now, Maximum Pressure = (P/A) + (M/Ze)
0.59375 < 11.25N/mm2 OK
Minimum Pressure = (P/A) - (M/Ze)
0.59375 N/mm2
Critical Distance where the moment is acting ( c )
117.45 mm
Pressure at the critical section ( Px)
0.59375 N/mm2 bb*Zp*fy
Moment at critical section ( Mc ) =
gm0 where,
bb = Zp =
1 b*t2 6
Moment carrying capacity ( Md ) =
1.2*fy*Ze gm0
where, Ze =
b*t2 6
Equating Mc and Md,
=
4095.243
N-mm
Required thickness of base plate Provide Thickness of Base Plate ( tb ) Dimension of Base Plate Number of plates L= 400 mm B= 400 mm tb = 10 mm
9.491857 mm 10 >tf= 4.8 mm OK
2
BOLTED CONNECTION ( Check For Shear Force ) Shear Force ( F ) Assume Dia of Bolts ( d ) = Dia of Holes ( d0 ) =
375 KN 24 mm 26 mm
Anb*(fub/√3)
Design Shear Strength Bolt (Vdsb) =
65.1923 KN
gmb
Minimum Edge Distance = 1.5*dia of hole (d 0) Provide Edge distance ( e ) =
39 mm 40.8 mm
Minimum Pitch = 2.5 * dia of bolt ( d ) Provide pitch ( p ) =
60 mm 100 mm
Kb = min of (
e 3*do
or
p 3*do
-0.25
Kb =
or
fub
or 1 )
fu 0.523077
Now, Design Bearing Strength of Bolt ( Vdpb ) =
2.5 *Kb * d * t * fu gmb
102.9415 KN
Strength of Bolt = min ( Vdsb or Vdpb ) 65.1923 KN Assuming complete bearing, so 50% of axial load is transferred to base plate and another 50% will be transferred through angle connection Number of Bolts ( n ) =
P Bolt value
Provide number of bolts ( n ) Providing configuration such that there are Two bolts in 1 row.
1.457227 nos.
4 nos
ANCHOR BOLT FOR UPLIFT ( From N. Subramaniam ) Uplift ( Nu )
180 KN
Nu where k= k heff = heff heff
k * sqrt(fck) * (heff)^1.5
=
ACI 318-2005
13.5 for post installed anchors and 15.5 for cast insitu headed studs and headed anchor bolts 15.5 embedment length = =
1.753801895 m 1753.801895 mm
This length is required if 1 bolt is provided We have provided So, heff for So, provide
4
4
nos
nos of bolt 4
nos.
440 mm 24
mm dia
450 mm
long anchor bolts
nd headed anchor bolts
long anchor bolts