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Design of Base Plate & Anchor Bolt (Crusher House)

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TANJUNG JATI B RE-EXPANSION PROJECT-TJB-5 & 6

DESIGN CALCULATION FOR CRUSHER HOUSE

DESIGN OF BASE PLATE-BP1 AND ANCHOR BOLT:


(For Column Size HE-300A)

Horizonta Vertical Horizonta Moment


Node L/C FX FY FZ MX MY MZ
(kip) (kip) (kip) (kip-ft) (kip-ft) (kip-ft)
Max FX 2 177 8.749 64.64 -17.005 0 0 0
Min FX 4 149 -9.237 60.893 -12.268 0 0 0
Max FY 1 105 7.639 81.655 13.6 0 0 0
Min FY 4 178 4.113 -0.589 5.463 0 0 0
Max FZ 1 177 8.708 64.568 16.78 0 0 0
Min FZ 2 177 8.749 64.64 -17.005 0 0 0

HE-300A
ZONE I 6 Nos 1-1/4 " dia bolt
18.1

Compressive strength of concrete, fc' = 3 ksi


11.8 Permissible Bearing Stress on concrete, Fp= 0.35fc' √(A2/A1) ≤ 0.7 fc'
= 0.55 ≤ 2.1 ksi
x Adopt, Fp = 0.55 ksi
11.42 23.6 For max. Fp, use A2= P/(0.175fc')= 155.53 in2

z A1= 23.6X23.6 = 556.96 in2,


A1= Area of Base plate and A2 = Area of Concrete Support
11.81 5.89 Zone-II Section Modulus of Base plate, Z xx= 2190.71 in3
23.6 in Section Modulus of Base plate, Z zz= 2190.71 in3

RDSI
TANJUNG JATI B RE-EXPANSION PROJECT-TJB-5 & 6
DESIGN CALCULATION FOR CRUSHER HOUSE

Bearing Pressure Developed :


Load Case Node pmax (ksi) pmin (ksi)
177 2 0.116 0.116
149 4 0.109 0.109 Max. pressure= 0.147 ksi <0.59 ksi
105 1 0.147 0.147 HENCE OK
178 4 -0.001 -0.001
177 1 0.116 0.116
177 2 0.116 0.116
(-ve indicates tension which will be taken by bolt)

Determination of Bolt Dia. :-

No. of Bolt Used = 6


Determination of Tension Per Bolt :
Max. Tension in column= 0.589 kips

Max tension in each bolt, T= 0.10 kips


Max. Shear(Fx) Per Bolt = 1.46 kips
Max. Shear(Fz) Per Bolt = 2.80 kips
Resultant shear per bolt = 3.154 kips
Bolt Material: S-235 equivalent to ASTM A36, Fu = 58 ksi
ASD Solution:
T=Ag Ft , Ag =∏/4 d2 Ft= 0.33XFu

d= √(4T/(0.33x∏x58 ksix0.78))= 0.09 in


Provide 6 nos. 1-1/4 " Anchor Bolt./Provide 6 nos. M-30 Anchor Bolt.
Check for embedded length:
For A36 material, from ACI 349, L=12d= 18 in.
Provided length= 2'8" > 18", Hence OK

RDSI
TANJUNG JATI B RE-EXPANSION PROJECT-TJB-5 & 6
DESIGN CALCULATION FOR CRUSHER HOUSE

Check for Shear:


From AISC-Mannual For steel Construction: Table 1-D of Part 4: Connections
Shear Capacity of 1.25" dia A36 bolt= 12.1 kips > 3.15 Hence OK
Interaction Checking:(Ref ACI 318-08, Cl. D.7 of Appendix-D)
(Nua/Nn)5/3+(Vua/Vn)5/3= 0.030 < 1 OK
`
Base Plate Thickness:
Zone I : Base Plate Thickness assumed= 1 in
Now,100% of developed bearing pressure is = 0.147 ksi

Two edge supported Plate (Refer Moody's Chart For Moments & Reactions for Rectangular Plate)
b= 11.8 in
a= 5.89 in
a/b= 0.50
Moment co-efficient= 0.1074
Max. Moment= co-eff x p x b2= 2.198 kip-in/in

Moment in two edge supported, Zone-I, M1= 2.198 kip-in/in


Zone II : ( Three edge supported plate i.e. exterior portion of one flanges and stiffener plate)

q= 0.147 ksi
a1= 6 in. Refer "Design
d1= 12 in. Of Metal
Structure By K.
a1/d1= 0.52 Mukhanov"
α3 = 0.06
Max. Moment for Zone-II, M2 = α3 q d12= 1.230 kip-in./in
Considering 1 in. width of Base Plate, Zp = (1 X tp ) /6 2
in3
Allowable bending stress in Base plate , Fb= 0.75 Fy = 0.75 x36 = 27 ksi
Governing moment for Zone -I & II is
= 2.198 kip-in/in
Thickness of plate required, tp= √(6M/27)
= 0.70 in
Adopt 1 in. thk Base Plate.

RDSI
TANJUNG JATI B RE-EXPANSION PROJECT-TJB-5 & 6
DESIGN CALCULATION FOR CRUSHER HOUSE

RDSI
TANJUNG JATI B RE-EXPANSION PROJECT-TJB-5 & 6
DESIGN CALCULATION FOR CRUSHER HOUSE

Check for Base Plate Thickness Against Bending Due to Bolt Tension:

Tension on each bolt= 0.10 kips

For Zone-II
11.81 we considerd 60 deg dispersion of load on three side.
60 deg So, tension on each side = 0.033 kips
(Typical) 1 3.34
b1= 3.86 inch
2 b2= 6.82 inch
2.75
5.91 5.91 moment due to tension (1)= 0.11 kips-in
moment due to tension (2)= 0.19 kips-in

tp reqd. (1) = 0.08 in. < 1 in. Hence ok


tp reqd. (2) = 0.08 in. < 1 in. Hence ok

For Zone-I

5.89 we considerd 60 deg dispersion of load on each side.


So,load on each side = 0.05 kips
5.9 b1= 5.89 in
11.8
5.9 b2= 3.63 in
60 deg Moment due to bolt tension-1 = 0.29 kip-in
Typical Moment due to bolt tension-2 = 0.15 kip-in

tp reqd.1 = 0.10 in.< 1 in. Hence ok


tp reqd.1 = 0.10 in.< 1 in. Hence ok
Provide 23.6'' x 23.6''x 1'' thk base plate i.e. 600 x 600 x 25 mm thk base plate

RDSI

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