DESIGN OF MONORAIL OVERHEAD CRANE
GIVEN
Unsupported length of monorail at major axis Unsupported length of monorail at minor axis Yield stress Hoist capacity Modulus of elesticity ( E ) Constant (N) Stress level 1 1.10 Stress level 2 1.00 Stress level 3 0.89 Allowable stresses Stress level 1 1 4 8 .8 0 Mpa Stress level 2 1 6 3 .6 8 Mpa Stress level 3 1 8 6 .0 0 Mpa Max d of section required by trolley clearance
14,000.00 14,000.00 248.00 5,000.00 200,000.00
mm mm Mpa kg Mpa
1.10
148.00
Mpa
150.00
mm
466.67 73,575.00 7,357.50 14,715.00
mm N N N
PRELIM CALCULATIONS
Min depth of monorail beam (dm) Ultimate load, Pu (150% of hoist cap) Axial load, Pux (10% of Pu) Lat load. Puy (20% of Pu) TRIAL SECTION BASED ON MIN DEPTH
d (in W
24 Ix Iy Sx Sy rx ry A Wt bf tf d tw
x
w (lb/ft) 94
1.12E+09 4.50E+07 3.64E+06 3.93E+05 2.51E+02 5.03E+01 1.79E+04 1.40E+02 2.30E+02 2.22E+01 6.17E+02 1.31E+01
mm4 mm4 mm3 mm3 mm mm mm2 k g/ m mm mm mm mm
OK!
COMBINED STRESS
AXIAL STRESS fa (KL/ry) (KL/rx) Fa
4 . 1 2 E- 0 1 2.78E+02 9 . 8 9 E- 0 1 1.21E+01
Mpa
Mpa
fa/Fa BENDING & TORSION STRESS Ultimate weight of monorail (110% of trial section) Addional weight of steel rail Inertia of bottom flange Mx My Mtor fbx fby fbx/Fbx fby/Fby Interaction, =/< 1
3.41E-02 1.51 0.37
N/mm N/mm
1.90E+04 7.17E+07 5.15E+07 1.69E+06 1.97E+01 2.20E+02 1.33E-01 1.49E+00
mm3 N-mm N-mm N-mm Mpa Mpa
1.65E+00
UNSAFE!
DEFLECTION
Allowable deflection, delta Actual deflection of point load Actual deflection of uniform load
23.33 18.71 3.36
mm mm mm
Total actual deflection, =/< delta
22.07
OK!
FATIGUE STRESS
Actual bending stress Allowable bending stress Fatigue stress, =/< 0.5
1.97E+01 148.00 0.13
OK!
DESIGN OF MONORAIL OVERHEAD CRANE
GIVEN
Unsupported length of monorail at major axis Unsupported length of monorail at minor axis Yield stress Hoist capacity Modulus of elesticity ( E ) Constant (N) Stress level 1 1.10 Stress level 2 1.00 Stress level 3 0.89 Allowable stresses Stress level 1 148.80 Mpa Stress level 2 163.68 Mpa Stress level 3 186.00 Mpa Max d of section required by trolley clearance
14,000.00 14,000.00 248.00 5,000.00 200,000.00
mm mm Mpa kg Mpa
1.10
148.00
Mpa
150.00
mm
LOAD COMBINATIONS
Case 1 Monorail in regular use under principle loading (stress level 1) (DLxDLF)+(TLxDLF)+(LLxHLF)+IFD Case 2 Monorail in regular use under principple loading and additional loading (stress level 2) (DLxDLF)+(TLxDLF)+(LLxHLF)+IFD+WLO+SK Case 3 Monorail under extraordinary loading (stress level 3) DL+TL+WLS DL+TL+LL+CF For manually driven hoist; DLF and HLF = 1.15
PRELIM CALCULATIONS
Min depth of monorail beam (dm) Ultimate load, Pu (150% of hoist cap) Axial load, Pux (10% of Pu) Lat load. Puy (20% of Pu)
466.67 73,575.00 7,357.50 14,715.00
TRIAL COMPOSITE SECTION BASED ON MIN DEPTH
C W
d (in 15 24 Ix Iy Sx Sy rx ry A
x
w (lb/ft) 50 104
1.90E+09 2.78E+08 4.69E+06 1.46E+06 2.54E+02 9.74E+01 2.93E+04
mm4 mm4 mm3 mm3 mm mm mm2
CSI SECTION BUILDER
mm N N N
Wt bf tf d tw
2.30E+02 3.26E+02 1.91E+01 6.12E+02 1.27E+01
kg/m mm mm mm mm
OK!
COMBINED STRESS
AXIAL STRESS fa (KL/ry) (KL/rx) Fa fa/Fa BENDING & TORSION STRESS Ultimate weight of monorail (110% of trial section) Addional weight of steel rail Inertia of bottom flange Mx My Mtor fbx fby fbx/Fbx fby/Fby Interaction, =/< 1
2.51E-01 1.44E+02 9.75E-01 4.53E+01 5.55E-03
Mpa
Mpa
2.48 0.37
N/mm N/mm
1.98E+04 9.54E+07 5.15E+07 1.68E+06 2.03E+01 1.20E+02 1.37E-01 8.11E-01
mm3 N-mm N-mm N-mm Mpa Mpa
9.54E-01
OK!
DEFLECTION
Allowable deflection, delta Actual deflection of point load Actual deflection of uniform load
23.33 11.07 3.26
mm mm mm
Total actual deflection, =/< delta
14.33
OK!
FATIGUE STRESS
Actual bending stress Allowable bending stress Fatigue stress, =/< 0.75
2.03E+01 148.00 0.14
Mpa Mpa OK!
