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• <br />• <br /> <br />Vertical Pressure Equations <br />Project # 073-81745 <br />Date: 1/10/08 <br />BY: KFM <br />Project Description: Evaluate the depth of overliner required to protect geomembrane liner from stress inflicted by a Caterpillar Model 950H Wheel Loader. From the <br />published specifications, the operating weight is 40,435 lb. The maximum bucket capacity is provided as 4.5 cubic yards. Assuming a unit material weight of 110 pounds <br />per cubic foot, the gross loaded weight is approximately 53,800 lb. Assume that 55% of the weight is supported by the front axle (29590 lbs) with a point load (i.e., at one <br />tire) of approximately 14,800 lb. Use a maximum allowable vertical stress of up to 8 psi on the liner is acceptable <br />Boussinesq Method <br />Input Parameters <br />Associates <br />Add stress caused by second front wheel <br />Use of 2.5 feet of cushion layer cover is recommended. <br />Point Load lbs): 14800 14800 1 800 14800 14800 14800 14800 14800 14800 14800 <br />Distance from Load ft): 0 0 0 0 0 0 0 0 0 <br />Depth of Interest ft : 2 .5 3 3.5 4 4.5 5 5.5 6 6.5 <br />Cale. Values <br />Vertical Stress due to Load (psf): 1766.6 111130-6 785.2 576.9 441.7 349.0 282.7 233.6 196.3 167.3 <br />(psi) 12.3 7.9 5.5 4.0 3.1 2.4 2.0 1.6 1.4 1.2 <br />Horizontal Stress due to Load <br />(Psfl: <br />(radially from load pt) <br /> <br />_147,2 <br /> <br />-94.2 <br /> <br />-65.4 <br /> <br />48.1 <br /> <br />-36.8 <br /> <br />-29.1 <br /> <br />-23.6 <br /> <br />-19.5 <br /> <br />-16.4 <br /> <br />-13.9 <br />(psi) -1.0 -0.7 -0.5 -0.3 -0.3 -0.2 -0.2 -0.1 -0.1 -0.1 <br />Horizontal Stress due to Load <br />(Psi): <br />(tangential from load pt) <br /> <br />_147 2 <br /> <br />_94.2 <br /> <br />-65.4 <br /> <br />-48.1 <br /> <br />-36.8 <br /> <br />-29.1 <br /> <br />-23.6 <br /> <br />-19.5 <br /> <br />16.4 <br /> <br />13.9 <br />63si) -1.0 -0.7 -0.5 -0.3 -0.3 -0.2 =0.2 -0.1 -0.1 -0.1 <br />Shear Stress due to Load (psf): 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 <br />(psi) 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 <br />Vertical Soil Stress (psf) 210.0 262.5 315.0 367.5 420.0 472.5 525.0 577.5 630.0 682.5 <br />(psi) 1.5 1.8 2.2 2.6 2.9 3.3 3.6 4.0 4.4 4.7 <br />Horizontal Soil Stress (psf): 105.0 131.3 157.5 183.8 210.0 236.3 262.5 288.8 315.0 341.3 <br />(psi) 0.7 0.9 1.1 1.3 1.5 1.6 1.8 2.0 2.2 2.4 <br />Total Major Principal Stress (psf): 1976.6 111393.1 1100.2 944.4 861.7 821.5 807.7 811.1 826.3 849.8 <br />(psi) 13.7 it 9.7 7.6 6.6 6.0 5.7 5.6 5.6 5.7 5.9 <br />Total Minor Principal Stress (psi): -42.2 37.0 92.1 135.7 173.2 207.2 238.9 269.3 298.6 327.3 <br />(psi) -0.3 0.3 0.6 0.9 1.2 1.4 1.7 1.9 2.1 2.3 <br />P Parameter(psi) 6.7 5.0 4.1 3.8 3.6 3.6 3.6 3.8 3.9 4.1 <br />Parameter (psi) 7.0 4.7 3.5 2.8 2.4 2.1 2.0 1.9 1.8 1.8 <br />Buffer Thickness Calc.xls <br />Page 1 of 2 <br />073-81745