Mass Flow Silo
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SILO WALL STRESS DISTRIBUTION cone diameter, D 1.40 m hopper discharge diameter, B 0.20 m total Height, H 2.20 m hopper height, h 1.04 m cone hopper angle, Θ 30.01 deg material ANT material bulk density, γ 1,064 kg/m^3 25 deg 0.40 MAXIMUM STRESS OVERLOAD FACTOR = 1.00 NORMAL TANGENTIAL z kg/m^2 kN/m^2 z kg/m^2 kN/m^2 CYLINDER 0.00 - - 0.00 - - 1.16 483 5 0.00 225 2 HOPPER 1.16 1,678 16 0 782 8 2.20 294 3 0 137 1 1270 21.166667 w 0.3527778 pb 1000 g 9.81 k 1.4 dp 0.1 0.0001942 0.0327563 0.1727563 172.75635 wall friction angle, Ø' Janssen ratio ,Kj -20,000 -15,000 -10,000 -5,000 0 0 1 2 3 1 2 3 4 FILLING DISCHARGING MAXIMUM HYDROSTATIC SILO OUTLINE normal wall pressure, p (kg/m^3) distance from top of silo,z (m)
description
forces on mass flow silo wall
Transcript of Mass Flow Silo
Sheet2SILO WALL STRESS DISTRIBUTIONcylindertons/m^3angle of reposeFILLINGnormal pressure, pcone diameter, D1.40mMNM2.534.22,500z0.52sliding friction between material and wall, 0.466307658226.72hopper discharge diameter, B0.20mRDC3.04639.63,04600.0000-7000.436332313shear stress along wall, total Height, H2.20mHAH2.51482,5100.292.95247.06081.16-700vertical pressure at point, qhopper height, h1.04mCRL2.6736.72,6700.5175.07494.12162.20-100nicone hopper angle, 30.01degCAJ2.78247.22,7820.7247.64741.18242.20100kfMSC2.5536.62,5500.9311.77988.24321.16700nfmaterialANTCB L0.73938.87391.161368.431235.30407000.6material bulk density, 1,064kg/m^3AM L0.9749.69701.161921.071235.304DOL1.5638.21,5601.3688826.771456.4032wall friction angle, '25degLS L1.4840.61,4801.5766694.431677.5024Janssen ratio ,Kj0.40LS F1.6401,6001.7844519.471898.6016SPL2402,0001.9922294.372119.7008NSG1.3837.21,3802.20.002340.8SO1.85331,850GOA1.9742.11,9700.0000ni0.614978856110641.6894889796-0.82382184021.00921.0698362467RBR2.42352,4200.210641.3515911836-0.82382184020.70826.7748452661MBR2.86352,8600.410641.0136933877-0.82382184020.44694.4259104011BLM L1.15351,1500.610640.6757955918-0.82382184020.23519.4696295722HLP0.61306100.810640.3378977959-0.82382184020.07294.3674443949ANT1.06449.61,0641.03910640-0.82382184020.000ST SLAG1.637.21,600DISCHARGINGz00.000.00.2135.28247.06080.5247.64494.12160.7340.97741.18240.9418.49988.24321.161482.881235.304MAXIMUM STRESS1.1611677.831.3688497.16OVERLOAD FACTOR =1.001.5766211.97NORMALTANGENTIAL1.7844123.64zkg/m^2kN/m^2zkg/m^2kN/m^21.992261.17CYLINDER0.000.00.00.000.00.02.20.001.1648350.002252HOPPER1.161,67816078282.202943013710kf1.82160828741938.19121780290.15778103210.7111677.82844698930.21938.19121780290.12622482570.710.1840476346497.16463321260.4H(o)2.27305008031938.19121780290.09466861930.710.0207615846211.97116745340.61938.19121780290.06311241280.710.0009585064123.63901294720.8nf6.5850754431938.19121780290.03155620640.710.000004991861.168811042512701.0391938.191217802900.710021.1666666667w0.3527777778pb1000g9.81k1.4dp0.10.00019419530.03275634900.000.000.0000.1727563491.161368.43482.88482.884.73547331910.232292.95135.28135.281.3266361557172.75634896611.161921.071677.831677.8316.45387633970.4644175.07247.64247.642.42855017312.20.000.00294.372.88675849860.6966247.64340.97340.973.34380828410.9288311.77418.49418.494.10402858861.3688826.77497.16826.778.10789153631.5766694.43211.97694.436.80999185421.7844519.47123.64519.475.09425684281.9922294.3761.17294.372.8867584986
Sheet2
FILLINGDISCHARGINGMAXIMUMHYDROSTATICSILO OUTLINEnormal wall pressure, p (kg/m^3)distance from top of silo,z (m)
Sheet1The borders between funnel and mass flow, which result from the calculations of Jenike [7], are shown in figure 4a for the wedge shaped hopper and in figure 4b for the conical hopper. In the diagrams the wall friction angle jx is drawn over the hopper slope angle Q measured against the vertical. The effective angle of internal friction je, which is a measure of the internal friction of the bulk solid, is the parameter of the mass flow/funnel flow borderlines. The borderlines separate all pairs of values leading to mass flow from those leading to funnel flow.Figure 4a: Design diagram for mass flow (wedge-shaped hopper)Figure 4b: Design diagram for mass flow (conical hopper)wall friction angle jxhopper slope angle Q measured against the verticalThe effective angle of internal friction je02552.5
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Sheet3
MBD010886B2.unknown
