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Transcript of LOAD CAPACITY OF LISTER RIG MATS SUPPORTED ON … · LOAD CAPACITY OF LISTER RIG MATS SUPPORTED ON...
LOAD CAPACITY OF LISTER RIG MATS
SUPPORTED ON GRADE
REPORT SUMMARY PREPARED BY
ACIUS ENGINEERING LTD. OCTOBER 16, 2012
LOAD CAPACITY OF TYPICAL LISTER INDUSTRIES RIG MATS
INTRODUCTION
This report summary outlines the results of finite element computer models that were
created in order to determine the loading capacity of typical Lister Industries’ rig mats. A
pair of line loads was used for the analysis to determine maximum load capacity of the
mats.
ANALYSIS METHODS FOR LISTER RIG MATS ON VARIOUS SOILS
Line loads were increased on each model until the first evidence of failure occurred. This
was repeated for each model with varying soil spring constants to allow for changing soil
conditions.
Once the maximum stresses were reached for the wood and steel, the maximum deflection
of these elements in the model was also noted.
RESULTS AND CONCLUSIONS
The conclusions of the finite element modeling of the Lister Industries’ mats show that there
are two modes of failure in determining the load capacity. The first mode occurs when the
timber infill begins to reach its ultimate bending stresses. A failure in the timber may result
if a heavier point load from a wheel was to overstress the timber locally, without failing the
steel beams. Rigs with tracks may allow the rig to spread its weight out over the timber
infill and directly transfer load to the steel beams. A much higher loading capacity can be
reached for the rig mats under this condition because the steel will fail at a higher load.
The maximum loading results are summarized in the charts and graph below. The results
from the analysis show a maximum loading capacity in kips for only one of the line loads
though two line loads were used in the analyses. The maximum deflection in the mats at the
failure loads are listed above each bar graph.
8' x 40' Rig Mat 3 Beams
Modeling
Results
Loose Sand k = 15 pci
Load Capacity Bending Stress in Wood Moment in Steel Beam Deflection
(kips) (psi) (ft-kips) (inches)
192.4 1667.9 1.24 (Wood)
267 38.65 1.73 (Beam)
Medium Sand k = 45 pci
Load Capacity Bending Stress in Wood Moment in Steel Beam Deflection
(kips) (psi) (ft-kips) (inches)
242.6 1638.9 0.54 (Wood)
368 40.11 0.84 (Beam)
Sand/ Silt Mix k = 90 pci
Load Capacity Bending Stress in Wood Moment in Steel Beam Deflection
(kips) (psi) (ft-kips) (inches)
284.4 1667.9 0.371 (Wood)
418.3 38.87 0.546 (Beam)
Compacted Gravel k = 250 pci
Load Capacity Bending Stress in Wood Moment in Steel Beam Deflection
(kips) (psi) (ft-kips) (inches)
376 1697 0.228 (Wood)
552 38.43 0.335 (Beam)
Fig. 1 Load Capacity with various soil conditions for 8’ x 40’ Mats
10' x 40' Rig Mat 4 Beams
Modeling
Results
Loose Sand k = 15 pci
Load Capacity Bending Stress in Wood Moment in Steel Beam Deflection
(kips) (psi) (ft-kips) (inches)
200.8 1682.4 1.307 (Wood)
292.8 41.16 1.772 (Beam)
Medium Sand k = 45 pci
Load Capacity Bending Stress in Wood Moment in Steel Beam Deflection
(kips) (psi) (ft-kips) (inches)
259.3 1692.6 0.595 (Wood)
393.2 41.6 0.902 (Beam)
Sand/ Silt Mix k = 90 pci
Load Capacity Bending Stress in Wood Moment in Steel Beam Deflection
(kips) (psi) (ft-kips) (inches)
301.2 1701.3 0.394 (Wood)
460.1 41.53 0.603 (Beam)
Compacted Gravel k = 250 pci
Load Capacity Bending Stress in Wood Moment in Steel Beam Deflection
(kips) (psi) (ft-kips) (inches)
393 1711.5 0.239 (Wood)
569 38.65 0.346 (Beam)
Fig. 2 Load capacity with various soil conditions for 10’ x 40’ Mats
Capacity of Lister Industries Rig Mats in Various Soil Conditions
192.4
1.24"
242.6
0.54"
284.4
0.37"
376
0.23"
393
0.24"
200.8
1.31"
259.3
0.6"
301.2
0.39"
368
0.84"
267
1.73"
418.3
0.55"
552
0.34"
569
0.35"
460.1
0.6"
393.2
0.90"
292.8
1.77"
0
100
200
300
400
500
600
Loose Sand k = 15
pci
Medium Sand k = 45
pci
Sand/ Silt Mix k = 90
pci
Compacted Gravel k
= 250 pci
Soil Type
Note - deflections listed below the max load capacity for each case
Load Capacity in Kips (1000 lbs) for Single Track Load
8' x 40' Rig Mat 3 Beams Ultimate bendingstresses in wood reached
10' x 40' Rig Mat 4 Beams Ultimate bendingstresses in wood reached
8' x 40' Rig Mat 3 Beams Ultimate bendingstresses in steel reached
10' x 40' Rig Mat 4 Beams Ultimate bendingstresses in steel reached
Fig. 3 Summary of load capacities of Lister Industries’ mats for various sub-grade soil
conditions