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182  PLANT DESIGN AND ECONOMICS FOR CHEMICAL ENGINEERS

       investment. This is summarized in the following cost equation:
                     c, = [= + UfIE +f*E +f& + . ..~l~f.>                (3)
       where  f,,fi...= multiplying factors for piping, electrical, instrumentation, etc.
                   fi  = indirect cost factor always greater than 1.
            The percentages used in making an estimation of this type should be
       determined on the basis of the type of process involved, design complexity,
       required materials of construction, location of the plant, past experience, and
       other items dependent on the particular unit under consideration.  Average
       values of the various percentages have been determined for typical chemical
       plants, and these values are presented in Table 17.
            Estimating by percentage of delivered-equipment cost is  comma  ly used
       for preliminary and study estimates. It yields most accurate results whe applied
       to projects similar in configuration to recently constructed plants. For c mpara-
                                                                    i
       ble plants of different capacity, this method has sometimes been reported to
       yield definitive estimate accuracies.

       Example 3 Estimation of fixed-capital investment by percentage of delivered-
       equipment cost.  Prepare a study estimate of the tied-capital investment for the
       process plant described in Example 1 if the delivered-equipment cost is $100,000.

       Solution.  Use the ratio factors outlined in Table 17 with modifications for
       instrumentation and outdoor operation.

                             Components                 cost
                Purchased equipment (delivered), E    $100,000
                Purchased equipment installation, 39% E  39,000
                Instrumentation (installed), 28% E      28,000
                Piping (installed), 31%  E              31,000
                Electrical (installed), 10% E           10,000
                Buildings (including services), 22%  E  22,000
                Yard improvements, 10% E                10,000
                Service  facilities  (installed),  55%  E  55,000
                Land, 6% E                            6,000
                   Total direct plant cost  D          301,000
                Engineering  and  supervision,  32%  E  32,000
                Construction expenses, 34% E          34,000
                   Total direct and indirect cost (D  + I)  367,000
                Contractor’s fee, 5% (D  + I)           18,000
                Contingency, 10%  (D  +  I)           37,000
                   Fixed-capital investment           $422,000

       METHOD D “LANG” FACTORS FOR APPROXIMATION OF CAPITAL INVFST-
       MENT.  This technique, proposed originally by Lang-/’  and used quite frequently
       to obtain order-of-magnitude cost estimates, recognizes that the cost of a


       tH.  J. Lang, Chem. Eng., 54(10):117  (1947); H. J.  Lang, Chem. Eng., 55(6):112  (1948).
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