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Title Project Package Client
MONORAIL CRANE BEAM DESIGN CALCULATIONS
Doc. No.
GGLNG PROJECT
Rev. No. Date
ANTI-FOAM INJECTION TANK (3412-PK-1201) BECHTEL INTERNATIONAL INC. PO NO. 25576-140POA-MW00-00002 (REV.4)
MONORAIL CRANE BEAM DESIGN CALCULATIONS
A
24/8/2015
ISSUED FOR APPROVAL
ID
REV NO
DATE
DESCRIPTION
CHECKED BY
Page 1 of 14
Title
MONORAIL CRANE BEAM DESIGN CALCULATIONS
Doc. No.
GGLNG PROJECT
Rev. No.
Project Package Client
ANTI-FOAM INJECTION TANK (3412-PK-1201) BECHTEL INTERNATIONAL INC. PO NO. 25576-140POA-MW00-00002 (REV.4)
NOMENCLATURE
E
Modulus of elasticity (2.1x E6 Kg/cm²)
Fa
Actual axial stress (Kg/cm²)
Fallw
Allowable axial stress (Kg/cm²)
Fy
Minimum yield strength of the beam material(36000 psi)
K
Effective length factor
L
Unbraced length of compression member
N
Constant (1.10 for Stress level 1 cases; as per AISC ASD)
r
Radius of gyration of the member (cm)
Page 2 of 14
Date
Title Project Package Client
MONORAIL CRANE BEAM DESIGN CALCULATIONS
Doc. No.
GGLNG PROJECT
Rev. No.
ANTI-FOAM INJECTION TANK (3412-PK-1201) BECHTEL INTERNATIONAL INC. PO NO. 25576-140POA-MW00-00002 (REV.4)
Page 3 of 14
Date
Title
MONORAIL CRANE BEAM DESIGN CALCULATIONS
Doc. No.
GGLNG PROJECT
Rev. No.
Project Package Client
Date
ANTI-FOAM INJECTION TANK (3412-PK-1201) BECHTEL INTERNATIONAL INC. PO NO. 25576-140POA-MW00-00002 (REV.4)
DESIGN FOR MONORAIL CRANE SUPPORTING BEAMS: Procedure followed for design of monorail beam as per Crane Manufacturers Association of America(CMAA) Specification No. 74 ("Specifications for Top running & Under running single girder electric travelling cranes utilizing under running trolley hoist")
INPUT PARAMETERS :
l=600
a=150
a=150
x=0
b="&400
c=200
I beam 150 x 100 x 21.1kg/m
A
B
C P=669.7
Crane continous beam carrying the hoist; is supported at two points @ 520 cm apart and running along the bottom flanges of the beams.
:
Runway Length of the crane Type of supporting provided for each I beams
:
8.2 mts.
Simply Supported Beams with overhanging 1.5 mts span on both sides.
Provided beam for the crane bridge is I-Beam 150x100x6x9 x 21.1 kg/m. Maximum unbraced Span length for I beam
L
:
595 cm
Maximum overhanging span length
a
:
150 cm
b
:
300 cm
c
:
220 cm
When point load considered between supports
Page 4 of 14
Title
MONORAIL CRANE BEAM DESIGN CALCULATIONS
Doc. No.
GGLNG PROJECT
Rev. No.
Project Package Client
Date
ANTI-FOAM INJECTION TANK (3412-PK-1201) BECHTEL INTERNATIONAL INC. PO NO. 25576-140POA-MW00-00002 (REV.4)
Uniform Load acting on the span for each I beam:
:
.78 kg/cm
FDL
:
1.10
w
:
.85 kg/cm
Uniform Load on the selected span Dead Load Factor for uniform load Effective Uniform Load
Beam Overhanging One Support-Concentrated Load at End of Overhang: Crane Bridge Assembly weight
Bwt
:
89 kg
Hoist weight
Hwt
25 kg
Dead Load Factor for point load
DLF
1.05
(Bwt+Hwt)xDLF
:
120 kg
Live Load/Hoist capacity of crane
Hcap
:
500 kg
Hoist Load Factor
HLF
:
1.10
Effective Live Load
HcapxHLF
:
550.00
Effective total load
(Bwt+Hwt)xDLF+(HcapxHLF)
:
670 kg
P
:
670 kg
Axial Load
Pax
:
67 kg
Lateral Load
PLat
:
134 kg
Effective dead load
Total Load acting at the selected span of each beam
Page 5 of 14
Title
MONORAIL CRANE BEAM DESIGN CALCULATIONS
Doc. No.
GGLNG PROJECT
Rev. No.
Project Package Client
Date
ANTI-FOAM INJECTION TANK (3412-PK-1201) BECHTEL INTERNATIONAL INC. PO NO. 25576-140POA-MW00-00002 (REV.4)
1. Check for BENDING :
Maximum bending moment due to concentrated load at overhung point C
Mmax@ B=Pa
:
100455 kg.cm
Maximum bending moment due to uniform dead load of beam at B due to overhang length.
Mmax@ B=Pa²/2
:
9603 kg.cm
Actual major axis bending moment (In-plane bending)
Mipb=Mmax+Mmax'
:
110058 kg.cm
Maximum bending allowable stress
fs
:
1519 kg/cm2
Zxx
:
72.5 cm3
Zxx
:
168 cm3
:
DESIGN SAFE
Required Section Modulus
Selected beam IB 100 x 100 x 17.2 kg/m Section modulus for the selected I beam Check for Bending for selected beam
Page 6 of 14
Title
MONORAIL CRANE BEAM DESIGN CALCULATIONS
Doc. No.
GGLNG PROJECT
Rev. No.
Project Package Client
Date
ANTI-FOAM INJECTION TANK (3412-PK-1201) BECHTEL INTERNATIONAL INC. PO NO. 25576-140POA-MW00-00002 (REV.4)
2. Check for DEFLECTION :
Deflection due to concentrated load at overhung point C. Deflection due to concentrated load between supports A and B
Yc={Pa²(L+a)}/3EI
Yc'={Pbc(b+2c) Sqrt3b(b+2c)} / 27EIL
:
.35 cm
:
.78 cm
We consider the bigger of the two (Yc & Yc') to check for limits of deflection for the worst case.
Maximum deflection of the beam
ymax
:
.78 cm
Selected beam IB 100 x 100 x17.2 kg/m Moment of Inertia for selected I beam
Ixx
:
1020 cm4
Maximum allowable deflection
yall
:
1.98 cm
:
DESIGN SAFE
Check for Deflection for selected beam
Page 7 of 14
130121400-09-010 A 24/8/2015
ALCULATIONS
SS APPROVED BY
Page 8 of 14
130121400-09-010 A 24/8/2015
Page 9 of 14
130121400-09-010 A 24/8/2015
Page 10 of 14
130121400-09-010 A 24/8/2015
BEAMS:
sociation of America(CMAA) tric travelling cranes utilizing under
d running along the bottom flanges
nging 1.5 mts span on both sides.
Page 11 of 14
130121400-09-010 A 24/8/2015
As Per CMAA No.74 code
As Per CMAA No.74 code
As Per AISC ASD, The axial load is 10 % of point load acting in-line or longitudinally. As Per AISC ASD, The lateral load is 20 % of point load acting normal to or perpendicluar to the beam.
Page 12 of 14
130121400-09-010 A 24/8/2015
As in our case (Stress Level 1 per CMAA) the bending allowable stress is 0.60*Fy. Where Fy=36000psi (2531kg/cm²)
Property of selected beam
N SAFE
Page 13 of 14
130121400-09-010 A 24/8/2015
case.
Property of selected beam
Deflection limitation as per Spec No. 74: Vertical deflection of monorail beam shall be limited to L/300.