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<br />developed. Several manufacturers have performed these tests for their products. The <br />hydraulic tests allow sizing and design criteria to be developed from the data generatecl. <br />Using the procedure discussed above with hydraulic testing, a design methodology can be <br />established for almost any size or shape of block. <br /> <br />Consideration of Additional Forces Due to Projecting Blocks <br /> <br />When the additional forces of projecting blocks are considered (see Figure 4.3) the fac:tor of <br />safety equation becomes: <br /> <br />cose(~2) <br />SF= 1 <br />,(fl2) . e R fl3F~cos8+f4F~ <br />11 - + sin cas I-' + <br />fI, f,WA <br /> <br />(Factor of Safety including <br />additional forces from block <br />projecting above the matrix) <br /> <br />where F'o and F'L are the additional lift and drag forces caused by the projecting block. <br />Numerical tests indicate that it is sufficiently accurate to compute the drag force on the block <br />in the following manner: <br /> <br />F~ = C(,QOJpV2) <br /> <br />where !:J.Z is the projection height, (0 is the width of projection, C is the momentum transfer <br />coefficient assumed equal to 0.5, p is the fluid density, and V is velocity. <br /> <br />FLOW <br /> <br /> <br />--~------ : <br />control volume : <br /> <br />-----. <br /> <br />F- Po <br /> <br /> <br />. <br /> <br />Projecting Block <br /> <br />Figure 4.3 Control Volume for computing horizontal force on a projecting block <br /> <br />4.8 <br />