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The vertical displacement v of a cracked slurry

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 18E Chapter 3.4

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 18E

The vertical displacement v of a cracked slurry infiltrated fiber concrete member at maximum shear stress is given by v = a + b w, where w is the crack Width, and a and b are estimated from data to be a = 2.5 ± 0.1 mm and b = 0.05 ± 0.01. Assume that w= 1.2 ± 0.1 mm.

a. Estimate v. and find the uncertainty in the estimate.

b. Of the uncertainties in w, a, and b, only one has a non-negligible effect on the uncertainty in v. Which one is it?

Step-by-Step Solution:

Answer:

Step 1 of 4:

           Given the vertical displacement v of a cracked slurry infiltrated fiber concrete member at maximum shear stress is given by v = a+ b w, where w is the crack width, and a, b are estimated from data. Then,    

         

Step 2 of 4:  

a). We have to estimate v and to find the uncertainty in the estimate.

             First we have to estimate v.

            That is,

                        v = a+ b w

                          = 2.5 + 0.05(1.2)  

                       v = 2.56

         To compute , we first compute partial derivatives of v, we get

                         =

                                    = 1

                     

                                   = w

                                   = 1.2 mm

                   

                                   = b

                                   = 0.05.

   

Step 3 of 4

Chapter 3.4, Problem 18E is Solved
Step 4 of 4

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

The answer to “The vertical displacement v of a cracked slurry infiltrated fiber concrete member at maximum shear stress is given by v = a + b w, where w is the crack Width, and a and b are estimated from data to be a = 2.5 ± 0.1 mm and b = 0.05 ± 0.01. Assume that w= 1.2 ± 0.1 mm.a. Estimate v. and find the uncertainty in the estimate.________________b. Of the uncertainties in w, a, and b, only one has a non-negligible effect on the uncertainty in v. Which one is it?” is broken down into a number of easy to follow steps, and 92 words. The full step-by-step solution to problem: 18E from chapter: 3.4 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. This full solution covers the following key subjects: estimate, uncertainty, infiltrated, cracked, data. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. Since the solution to 18E from 3.4 chapter was answered, more than 237 students have viewed the full step-by-step answer. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331.

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