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DESIGN OF MONORAIL OVERHEAD CRANE
GIVEN
Unsupported length of monorail at major axis 14,000.00 mm
Unsupported length of monorail at minor axis 14,000.00 mm
Yield stress 248.00 Mpa
Hoist capacity 5,000.00 kg
Modulus of elesticity ( E ) 200,000.00 Mpa
Constant (N)
Stress level 1 1.
Stress level 2 1.
Stress level 3 0.
Allowable stresses
Stress level 1 148.80 Mpa
148.00 Mpa Stress level 2 163.68 Mpa
Stress level 3 186.00 Mpa
Max d of section required by trolley clearance
150.00 mm
PRELIM CALCULATIONS
Min depth of monorail beam (dm) 466.67 mm
Ultimate load, Pu (150% of hoist cap) 73,575.00 N
Axial load, Pux (10% of Pu) 7,357.50 N
Lat load. Puy (20% of Pu) 14,715.00 N
TRIAL SECTION BASED ON MIN DEPTH
d (in) x w (lb/ft)
W 24 94
Ix 1.12E+09 mm
Iy 4.50E+07 mm
Sx 3.64E+06 mm
Sy 3.93E+05 mm
rx 2.51E+02 mm
ry 5.03E+01 mm
A 1.79E+04 mm
Wt 1.40E+02 kg/m
bf 2.30E+02 mm
tf 2.22E+01 mm
d 6.17E+02 mm OK!
tw 1.31E+01 mm
COMBINED STRESS
AXIAL STRESS
fa 4.12E-01 Mpa
(KL/ry) 2.78E+
(KL/rx) 9.89E-
Fa 1.21E+01 Mpa
fa/Fa 3.41E-
BENDING & TORSION STRESS
Ultimate weight of monorail (110% of trial section) 1.51 N/mm
Addional weight of steel rail 0.37 N/mm
1.90E+04 mm
Mx 7.17E+07 N-mm
My 5.15E+07 N-mm
Mtor 1.69E+06 N-mm
fbx 1.97E+01 Mpa
fby 2.20E+02 Mpa
fbx/Fbx 1.33E-
fby/Fby 1.49E+
Interaction, =/< 1 1.65E+
UNSAFE!
DEFLECTION
Allowable deflection, delta 23.33 mm
Actual deflection of point load 18.71 mm
Actual deflection of uniform load 3.36 mm
Total actual deflection, =/< delta 22.07 OK!
FATIGUE STRESS
Actual bending stress 1.97E+
Allowable bending stress 148.
Fatigue stress, =/< 0.5 0.13 OK!
Inertia of bottom
flange
ry 9.74E+01 mm
A 2.93E+04 mm
Wt 2.30E+02 kg/m
bf 3.26E+02 mm
tf 1.91E+01 mm
d 6.12E+02 mm OK!
tw 1.27E+01 mm
COMBINED STRESS
AXIAL STRESS
fa 2.51E-01 Mpa
(KL/ry) 1.44E+
(KL/rx) 9.75E-
Fa 4.53E+01 Mpa
fa/Fa 5.55E-
BENDING & TORSION STRESS
Ultimate weight of monorail (110% of trial section) 2.48 N/mm
Addional weight of steel rail 0.37 N/mm
1.98E+04 mm
Mx 9.54E+07 N-mm
My 5.15E+07 N-mm
Mtor 1.68E+06 N-mm
fbx 2.03E+01 Mpa
fby 1.20E+02 Mpa
fbx/Fbx 1.37E-
fby/Fby 8.11E-
Interaction, =/< 1 9.54E-
OK!
DEFLECTION
Allowable deflection, delta 23.33 mm
Actual deflection of point load 11.07 mm
Actual deflection of uniform load 3.26 mm
Total actual deflection, =/< delta 14.33 OK!
FATIGUE STRESS
Actual bending stress 2.03E+01 Mpa
Allowable bending stress 148.00 Mpa
Fatigue stress, =/< 0.75 0.14 OK!
Inertia of bottom
flange
