Question 3.H: The structural engineering design section within the enginee...

The structural  engineering  design  section within the engineering department of a  regional electrical  utility  corporation has developed several standard designs for a group of similar transmission  line towers. The detailed design for each tower is based on  one of the  standard designs.  A transmission  line project  involving 50 towers has been approved. The  estimated number  of  engineering  hours  needed  to  accomplish  the first  detailed  tower  design is 126. Assuming  a 95%  learning curve,

a. What is your estimate of the number of engineering hours needed to design the eighth tower and to design the last tower in the project?
b. What is your estimate of the cumulative average hours required for the first five designs? (3.4)

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K = 126 hours;  s = 0.95 (95% learning curve); n  =  (log 0.95)/(log 2) = −0.074

(a)  Z_{8} = 126\left(8\right)^{-0.074} = \underline{108 hours} ;

Z_{50} = 126(50) ^{-0.074} = \underline{94.3 hours }

(b) C_{5} = T_{5}/5;  T_{5} =  126\sum\limits_{u=1}^{5}{u^{-0.074} } =  587.4 hrs

C_{5} = 587.4/5 = 117.5 hrs

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