DESIGN OF MONORAIL BEAM
TITLE
PROJECT
JOB NO. Design of Cantilever Monorail for TP42 SHEET NO.
RSP-INTERPLANT TRANSPORTATION FACILITIES-PKG 092
1
PREPARED PPROVED
DOCUMENT NO.
THIS DOCUMENT IS MBE'S PROPERTY AND MUST NOT BE USED EXCEPT IN CONNECTION WITH MBE'S WORK.REPRODUCTION, USE OR DISCLOSURE OF THE CONTENT OFTHIS DOCUMENT TO THIRD PARTY/IES WITHOUT EXPRESS/WRITTEN PERMISSION OF MBE IS STRICTLY PROHIBITED.
REVISION
B026
2-B026-DC00-5-0018
DATE
DESIGN OF CANTILEVER MONORAIL BEAM :
Monorail Capacity =
2.0 T
Wt. of chain-pulley block =
0.50 T
Impact Factor =
1.25
Electrically operated
Try with section
MB 300
Dia. of bolt in top flange, =
Channel at top
20
Dia. of bolt in bot. flange, =
Width of top flange plate =
0 mm
Dia. of holes in top flange, =
21.5 mm
Thickness of top flange plate =
0 mm
No. of holes in top flange, =
2
Width of bot. flange plate =
0 mm
Dia. of holes in bol. flange, =
0. 0
Thickness of bot. flange plate =
0 mm
No. of holes in bot. flange, = Dist ist. Fro From m ce centre ntre of Web, Web, =
Wt. per m lenth of monorail beam =
40 mm
46.10 kg/m
Property of the Individual Sections: I-section 58.70 cm2 30.00 cm 14.00 cm 0.77 cm 1.31 cm 1.40 cm 8985.70 cm4 486.30 cm4 12.40 cm 2.86 cm 599.00 cm3 69.50 cm3 0.00 cm
A h b tw tf R Ixx Iyy rx ry Zx Zy Cy
Channel section 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Pro Pro ert ert of the the Com Com ound ound Sect Sectio ion: n:
Gross Area =
58.70 cm2
Net area =
53.07 cm2
Width of top flange = 14.00 cm
Width of bottom flange =
14.00 cm
Thk. of top flange =
1.31 cm
Thk. of bottom flange =
1.31 cm
Total depth =
30.00 cm
C.G. from top flange, Cxx = 1 16 6.52 cm
Gross Ixx =
8985.70 cm4
Net Ixx =
7702.70 cm4
Gross Iyy =
486.30 cm4
Net Iyy =
394.00 cm4
Zx,top =
466.19 cm3
Zx,bot =
571.53 cm3
r x =
12.05 cm
r y =
2.72 cm
Zy =
1
C.G. from top flange (for gross section) 15.00 cm
56.29 cm3
DESIGN OF MONORAIL BEAM
3.13 T
Design of Cantilever Portion :
Max. bending moment at support = Max. shear force =
5.30 T-m
4
2.31 m 0.70 T
4.40 T
-2.1
Calculation of Permissible Bending Stresses:
λ x =
33.20
λ y =
73.40
f y =
250 MPa
c2/c1 =
1.23
D/T =
22.90
Y=
491.88 MPa
w=
0.6
k 2 =
0.1
X=
605.16 MPa
f cb =
σ bcx,perm =
1521.73 kg/cm2
962.65 MPa σ bt,perm =
1683.00 kg/cm2
σ bt,cal =
1136.88 kg/cm2
σ bt,cal/σ bt,perm =
0.68
Calculation of Induced Bending Stresses:
σ bcx,cal =
927.33 kg/cm2
Check for Bendin Stress:
σ bcx,cal/σ bcx,perm =
0.61
Safe
Safe
Check for Deflection:
δcal =
0.75 cm
Span/δ = 266
Safe
Check for Bolt Tension:
Total no. of bolts in top flange, =
4
Total bolt capacity, = 11.96 T
Property Class = Safe
Local Check of To Flan e Thickness for Bolt Tension:
Load per bolt, =
1.13 T 2491.88 kg-cm
Moment at root of top flange, = Load dispersion angle, Zx,root =
2.19 cm3
σ bcx,cal =
1135.46 kg/cm2
60 deg
Safe
Local Stress Check of Bottom for Maximum Wheel Load:
Maximum wheel load
1.56 T
Moment at root of bottom flange = Load dispersion angle, Zx,root =
5.17 cm3
σ bcx,cal =
1577.02 kg/cm2
8148.44 kg-cm
60 deg
Safe
2
4.6
2.00 m 4.5
DESIGNATION
MASS
cm
kg/m 1
h
AREA 2
mm
b
tw
tf
R 1
R 2
Ixx
cm mm mm m m mm mm 5 6 7 8 9
2
3
4
MB 100
11.5
14.7
100
70
4.5
7.5
9.0
MB 125
13.4
17.0
125
70
5.0
8.0
MB 150
15.0
19.1
150
75
5.0
MB 175
19.5
24.9
175
85
MB 200
25.4
32.3
200
MB 225
31.2
39.7
MB 250
37.3
MB 300
4
rx
Iyy cm
4
cm
10
11
12
4.5
252.0
35.4
4.14
9.0
4.5
445.1
38.5
5.16
8.0
9.0
4.5
717.6
46.8
6.13
5.8
9.0
10.0
5.0
1262.4
76.7
7.13
400
5.7
10.8
11.0
5.5
2235.4
150.0
8.32
225
110
6.5
11.8
12.0
6.0
3441.8
218.3
9.31
47.6
250
125
6.9
12.5
12.0
6.5
5131.6
334.5
10.40
46.1
58.7
300
140
7.7
13.1
14.0
7.0
8985.7
486.3
12.40
MB 350
52.4
66.7
350
140
8 .1
14.2
14.0
7.0
13630.3
537.7
14.30
MB 400
61.6
78.5
400
140
8 .9
16.0
14.0
7.0
20458.4
622.1
16.20
MB 450 MB 500 MB 550 MB 600 MC 100 MC 125 MC 150 MC 175 MC 200 MC 225 MC 250 MC 300 MC 350 MC 400 MC 75
72.4 86.9 104.0 123.0 9.56 13.10 16.80 19.60 22.30 26.10 30.60 36.30 42.70 50.10 7.14
92.3 111.0 132.0 156.0 12.20 16.70 21.30 24.90 28.50 33.30 39.00 46.30 54.40 63.80 9.10
450 500 550 600 100 125 150 175 200 225 250 300 350 400 75
150 9 .4 180 10.2 190 11.2 210 12.0 50 5.0 65 5.3 75 5.7 75 6.0 75 6.2 80 6.5 80 7.2 90 7 .8 100 8.3 100 8.8 40 4.8
17.4 17.2 19.3 20.8 8.0 8.0 9.0 10.8 11.8 12.5 13.1 14.2 16.0 17.4 7.5
15.0 17.0 18.0 20.0 9.0 9.5 10.0 10.5 11.0 12.0 12.0 13.0 14.0 15.0 8.5
7.5 8.5 9.0 10.0 2.4 2.4 2.4 3.2 3.2 3.2 3.2 3.2 4.8 4.8 2.4
30390.8 45218.3 64893.6 91813.0 192.0 425.0 788.0 1240.0 1830.0 2710.0 3880.0 6420.0 10000.0 15200.0 78.5
834.0 1369.8 1833.8 2651.0 26.7 61.1 103.0 122.0 141.0 188.0 211.0 313.0 434.0 508.0 12.9
18.20 20.20 22.20 24.20 3.97 5.05 6.08 7.04 8.02 9.02 9.92 11.80 13.60 15.40 2.94
TABLE 6.4 Values of k2 for unequal flanges w
k2
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0
-1.0 -0.8 -0.6 -0.4 -0.2 0.0 0.1 0.2 0.3 0.4 0.5
BOLTS IN CLEARENCE HOLES
BOLT VALUES
y t r s
4.6 4.8
(PROPERTY CLASS 8.8) IN TENSION NOMINAL DIA. OF BOLT HOLE (T) 12 13.5 1.03 16 17.5 1.92 20 21.5 2.99 22 23.5 3.71 24 25.5 4.31 27 29 5.62 30 32 6.86 12 13.5 1.23 16 17.5 2.29 20 21.5 3.58 22 23.5 4.42 24 25.5 5.14 27 29 6.7 30 32 8.19 12 13.5 1.23 16 17.5 2.29 20 21.5 3.58 22 23.5 4.42 24 25.5 5.14 27 29 6.7 30 32 8.19 12 13.5 1.54 16 17.5 2.87 20 21.5 4.47 22 23.5 5.53 24 25.5 6.42 27 29 8.37 30 32 10.23 12 13.5 1.84 16 17.5 3.44 20 21.5 5.36 22 23.5 6.63 24 25.5 7.71 27 29 10.05 30 32 12.28 12 13.5 2.46 16 17.5 4.58 20 21.5 7.15 22 23.5 8.84 24 25.5 10.27 27 29 13.39 30 32 16.37 12 13.5 2.76 16 17.5 5.16 20 21.5 8.04 22 23.5 9.95 24 25.5 11.56 27 29 15.07
p l a o r C P
6 . 4
8 . 4
6 . 5
8 . 5
8 . 6
8 . 8
8 . 9
5.6 5.8 6.8 8.8 9.8 10.9
30 12 16 20 22 24 27 30 12 16 20 22 24 27 30
32 13.5 17.5 21.5 23.5 25.5 29 32 13.5 17.5 21.5 23.5 25.5 29 32
18.41 3.07 5.73 8.94 11.05 12.84 16.74 20.46 3.68 6.87 10.72 13.26 15.41 20.09 24.55
9 . 0 1
9 . 2 1
ry
Zx cm
cm
3
cm
cm
13
14
15
1.55
50.4
10.1
1.51
71.2
11.0
1.57
95.7
12.5
1.76
144.3
18.0
2.15
224.0
30.0
2.34
306.0
39.7
2.65
410.0
53.5
2.86
599.0
69.5
2.84
779.0
76.8
2.82 1020.0
88.9
3.01 3.52 3.73 4.12 1.48 1.91 2.20 2.21 2.22 2.37 2.37 2.60 2.82 2.82 1.19
1350.0 1810.0 2360.0 3060.0 38.5 68.1 105.0 141.0 181.0 241.0 307.0 428.0 576.0 760.0 20.9
cy
Zy 3
111.0 152.0 193.0 252.0 7.71 13.40 19.50 23.00 28.40 33.00 38.50 47.10 57.30 67.00 4.81
16
1.54 1.95 2.20 2.19 2.18 2.31 2.29 2.35 2.44 2.42 1.32
