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Ontario Power Generation's Response to the Joint Review

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CLOSURE WALL CAPACITY<br />

and are <strong>the</strong> strains in <strong>the</strong> horizontal and vertical directions, is <strong>the</strong> elastic modulus of <strong>the</strong><br />

concrete, and is <strong>the</strong> Poisson’s ratio of <strong>the</strong> concrete. The strains are calculated based on a dilation of 1 mm on<br />

<strong>the</strong> sidewalls, roof and floor. Therefore, <strong>the</strong> strains in <strong>the</strong> horizontal and vertical direction are given by:<br />

The average shear strength at <strong>the</strong> interface is given by:<br />

where is in radians and is <strong>the</strong> friction angle of <strong>the</strong> interface (typically for concrete-rock interfaces).<br />

Using <strong>the</strong>se values, <strong>the</strong> calculated shear strength, , is:<br />

3.5 Closure wall Capacity<br />

The fac<strong>to</strong>red capacity on <strong>the</strong> face of <strong>the</strong> closure wall is given by:<br />

for <strong>the</strong> ‘full dilation’ case; and<br />

for <strong>the</strong> ‘no dilation’ case, where is <strong>the</strong> load fac<strong>to</strong>r, is <strong>the</strong> section perimeter, is <strong>the</strong> section area,<br />

and is <strong>the</strong> gas pressure.<br />

Assuming a load fac<strong>to</strong>r of , <strong>the</strong> fac<strong>to</strong>red capacity and <strong>the</strong> allowable gas pressure for <strong>the</strong> ‘full dilation’<br />

approach are:<br />

and for <strong>the</strong> ‘no dilation’ approach is:<br />

August 27, 2012<br />

Report No. 1011170042-TM-G2170-0001-00 4

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