TOPIC Capital Cost Estimating TOPIC OUTCOME 1 Capital Cost 2 Classification of Fixed Capital Cost Estimates 3 Estimating Purchased Equipment Costs Distinguish the classification of fixed capital cost estimates Estimate the purchase equipment costs based on the effect of time and capacity Calculate the total capital cost of a plant 4 Estimating the Total Capital Cost of a Plant What is economics? -The study of how limited resources is used to satisfy unlimited human wants Engineering Economy - Is a collection of mathematical techniques that simplify economic comparison 1. Problem recognition, formulation, and evaluation. 2. Development of the feasible alternatives. 3. Development of the cash flows for each alternative. 4. Selection of a criterion ( or criteria). 5. Analysis and comparison of the alternatives. 6. Selection of the preferred alternative. 7. Performance monitoring and post-evaluation results. Example Bad news: You have just wrecked your car!. You need another car immediately because you have decided that walking, riding a bike, and taking a bus are not acceptable. An automobile wholesaler offers you $2000 for your wrecked car. Also, your insurance company’s claims adjuster estimates that there is $2000 in damage for your car. Because you have collision insurance with a $1000 deductibility provision, the insurance company mails you a check for $1000. the odometer reading on your wrecked car is 58 miles Assumption: A new car worth $10000 with odometer reading 28 miles Price of selling a repaired car = $4500 Sources of Equipment Price Fluctuation Company Policies Operation Time and Rate of Production Used to describe the process by which the present and future cost consequences of engineering designs are forecast Provide information used in setting a selling price for quoting, bidding, or evaluating contracts Determine whether a proposed product can be made and distributed at a profit (EG: price = cost + profit) Evaluate how much capital can be justified for process changes or other improvements Establish benchmarks for productivity improvement programs Capital cost – Cost associated with construction of a new plant or modifications to an existing chemical manufacturing plant Classification of capital cost estimates: ◦ ◦ ◦ ◦ ◦ Order of magnitude estimate Study estimate Preliminary estimate Definitive estimate Detailed estimate Order of Magnitude Estimate ◦ relies on cost information for a complete process taken from previously built plants ◦ Requirement – blok flow diagram ◦ Accuracy: +40% to -20% Study Estimate ◦ Utilizes a list of major equipment found in the process (e.g. pumps, compressors and turbines, columns and vessels, fire heaters and exchangers) ◦ Each of equipment is roughly size and appropriate cost determined ◦ Based on process flow diagram (PFD) ◦ Accuracy: +30% to -20% Preliminary Design Estimate ◦ Requires more accurate sizing of equipment than used in study estimate together with layout of equipment (piping, instrumentation, electrical requirements) and also utilities. ◦ Accuracy: +25% to -15% Definitive Estimate ◦ Requires preliminary specifications for all the equipment, utilities, instrumentation, electrical and off-sites ◦ Accuracy: +15% to -7% Detailed Estimate ◦ Requires complete engineering of the process and all related off-sites utilities ◦ Obtained vendor quotes for all expensive items ◦ End of detailed estimate: the plant is ready to go to construction stage ◦ Accuracy: +6% to -4% Requirement – Process Flow Diagram (PFD) ◦ Material and energy balance ◦ Material of construction For each major piece ◦ Size/capacity – roughly estimatedof equipment identified Alternatives of Estimation ◦ Current price quoted from suitable vendor (most accurate) ◦ Use cost data on previously purchased equipment (same type) ◦ Utilized summary graphs available for various types of common equipment (discussed in detailed) The relationship between the purchased cost and an attribute of the equipment related to units of capacity is given by: C a Aa C b Ab n --------- Equation 1.1 where; A = Equipment cost attribute C = Purchased cost n = Cost exponent Subscripts – a:- equipment with the required attribute b:- equipment with the base attribute Equation 1.1 can be rearrange to give Ca K Aa n where K --------- Equation 1.2 Cb Ab n Equation 1.2 is a straight line with a slope of n when the log of C is plotted versus the log of Aa Values of cost exponent, n used in Equations 1.1 and 1.2 varies depending upon the class of equipment Replacing n in Equation 1.1 or/and 1.2 by 0.6 provides the relationship referred to as the six-tenth-rule Example 1 Use the six-tenth-rule to estimate the % increase in purchased cost when the capacity of a piece of equipment is doubled Example 2 Compare the error for the scale-up of a heat exchanger by a factor of 5 using the six-tenth-rule in place of the cost exponent given in Table 2.3 Equipment type Range of correlation Units of Capacity Cost Exponent n Reciprocating compressor with motor drive 220 to 3000 Kw 0.70 Heat exchanger shell and tube carbon steel 5 to 50 m2 0.44 Vertical tank carbon steel 1 to 40 m3 0.52 Single-stage Blower 0.5 to 4 m3/s 0.64 Jacketed kettle glass lined 3 to 10 m3 0.65 Table 2.3: Typical Values of Cost Exponents for a Selection of Process Equipment Example 3 The purchased cost of a recently acquired heat exchanger with an area of 100 square meters was $10,000. Determine: a) the constant K in equation 1.1 b) the cost of a new heat exchanger of 180m2 Indices most generally accepted in chemical industry ◦ The Marshall and Swift Equipment Cost Index ◦ The Chemical Engineering Plant Cost Index Determination of Purchased Cost where; I2 C 2 C1 -------- I1 Equation 1.3 C= Purchase Cost I = Cost Index Subscripts – 1:- refers to the base time when cost is known 2:- refers to the time when cost is desired Example 4 The purchased cost of a heat exchanger of 500m2 area in mid-1978 was $25,000 a) Estimate the cost of the same heat exchanger in mid-1996 using the two indices introduced above b) Compare the results Values for Selected Indexes between 1985 to Jun 2009 Year CE Plant Cost Index 1996 381.8 1997 386.5 1998 389.5 1999 390.6 2000 394.1 2001 394.3 2002 395.6 2003 401.7 2004 444.2 2005 468.2 2006 499.6 2007 525.4 2008 575.4 Jun 2009 597.1 Total capital cost of a chemical plant includes: ◦ Direct Project Expenses Equipment f.o.b. cost, CP Material required for installation, CM Labor to install equipment and material, CL ◦ Indirect Project Expenses Freight, insurance and taxes, CFIT Construction overhead, CO Contractor engineering expenses, CE ◦ Contingency and Fee Contingency, CCont Contractor fee, CFee ◦ Auxiliary Facilities Site development,CSite Auxiliary Buildings, CAux Offsites and Utilities, Coff Estimating capital cost for a process plant ◦ Access to previous similar plant with different capacity ◦ Apply principles that already introduced: The six-tenth rule – may be used to scale up/down to a new capacity The Chemical Engineering Plant Cost Index – should be used to update the capital costs Lang Factor Method – used when no cost information available Lang Factor Method n CTM FLang C p ,i --------- Equation 1.4 i 1 where; CTM = the capital cost of the plant Cp,i = the purchased cost for the major equipment units n = the total number of individual units FLang = the Lang Factor Type of Chemical Plant Lang Factor,Flang Fluid Processing Plant 4.74 Solid-Fluid Processing Plant 3.63 Solid Processing Plant 3.10 Capital Cost = (Lang Factor) x (Sum of Purchased Costs of all Major Equipment) Table 2.3: Lang Factors for the Estimation of Capital Cost for Chemical Plants Example 5 The capital cost of a 30,000 metric ton/year iso-propanol plant in 1980 was estimated to be $5,000,000. Estimate the capital cost of a new plant with a production rate of 50,000 metric tons/year in mid-1996 Example 6 Determine the capital cost for a major expansion to a fluid processing plant that has a total purchased equipment cost of $6,800,000 Bare Module Cost for Equipment at Base Conditions ◦ Condition specified for base case are: Unit fabricated for most common material, usually carbon steel (CS) Unit operated at near ambient pressure ◦ Bare Module Cost:- C BM C P FBM Bare Module Cost for Equipment at Base Conditions ◦ Bare Module Factor:- FBM 1 L FIT O L E 1 M where C BM = Bare module equipment cost: direct+ indirect cost C P = Bare module equipment factor FBM = Purchased cost for base conditions Example 7 The purchased cost for a carbon steel heat exchanger operation at ambient pressure is $10,000. for a heat exchanger module, Ulrich [4] provides the following cost multiplying factors Cost Multiplier M L FIT O E Value 0.71 0.37 0.08 0.70 0.15 Determine: a) Bare module cost factor, FBM b) Bare module Cost, CBM c) Materials and labor costs to install the exchanger Example 8 Find the mid-1996 bare module cost of a floating head shell and tube heat exchanger with a heat transfer area of 100m2. The operating pressure of the equipment is 1.0bar with both shell and tube sides constructed of carbon steel. For this material and pressure the values of FP and FM are equal to 1.0 Figure A.1: Purchased equipment cost for shell and tube heat exchangers Figure A.2: Pressure factors (Fp) for heat exchangers FM = Material factor to account for materials of construction (for carbon steel, FM = 1) FP = pressure factor to account for high pressure from Figure 2.5 (for ambient pressure, FP = 1) Figure A.3: Bare module factors (FoBM) for heat exchangers Shell Material Tube Material Material Factor, FM Carbon Steel (CS) Carbon Steel (CS) 1.00 Carbon Steel (CS) Copper (Cu) 1.25 Copper (Cu) Copper (Cu) 1.60 Carbon Steel (CS) Stainless Steel (SS) 1.70 Stainless Steel (SS) Stainless Steel (SS) 3.00 Carbon Steel (CS) Nickel Alloy (Ni) 2.80 Nickel Alloy (Ni) Nickel Alloy (Ni) 3.80 Carbon Steel (CS) Titanium (Ti) 7.20 Titanium (Ti) Titanium (Ti) 12.00 Table 2.9: Material Factors Floating Head Heat Exchangers Bare Module Cost for Non-Base Conditions ◦ Condition specified for Non-Base Case Equipment made form other material of construction Operating at non-ambient temperature FBM in the base case is replaced with actual bare module cost factor, F0oBM o C BM C P FBM ◦ Bare Module Cost:- Example 9 Repeat example 8 except that the exchanger is made with stainless steel shell and tube Example 10 Find the bare module cost of a floating-head shell and tube heat exchanger with a heat transfer area of 100m2. The operating pressure of the equipment is 100 bar on both shell and tube sides and the construction of the shell and tubes is of stainless steel. Example 11 Find the bare module cost (in 1996) of a stainless steel tower 3m in diameter and 30m tall. The tower has 40 stainless steel sieve trays and operates at 20 bar. Grass Roots and Total Module Costs ◦ Grass Roots new facility in which we start the construction on essentially undeveloped land Total Module Cost, CTM ◦ Total Module Costs n C i 1 n o TM ,i o 1.18 C BM ,i i 1 Cost of making small-to-moderate expansions or alterations to an existing facility Grass Root Cost, C GR CTM 0.35 n o C BM ,i i 1 Example 12 A small expansion to an existing chemical facility is being investigated and a preliminary PFD of the process is shown in Figure E2.14. The expansion involves the installation of a new distillation column with a reboiler, condenser, pumps and other associated equipment. A list of equipment, sizes, materials of construction, and operating pressure is given in Table E2.14A. Using the charts in Appendix A, calculate the total module cost for this expansion in 1996.