×
Log in to StudySoup
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 3.2 - Problem 12e
Join StudySoup for FREE
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 3.2 - Problem 12e

Already have an account? Login here
×
Reset your password

In the article “Influence of Crack Width on Shear

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

Solution for problem 12E Chapter 3.2

Statistics for Engineers and Scientists | 4th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

4 5 1 414 Reviews
22
0
Problem 12E

Problem 12E

In the article “Influence of Crack Width on Shear Behaviour of SIFCON” (C. Fritz and H. Reinhardt, High Performance Fiber Reinforced Cement Composites: Proceedings of the International RILEM/ACI Workshop, 1992). the maximum shear stress τ of a cracked concrete member is given to be τ = τ0(l - k w), where τ0 is the maximum shear stress for a crack width of zero, wis the crack width in mm, and k is a constant estimated from experimental data. Assume k = 0.29 ± 0.05 mm-1. Given that τ0 = 50 MPa and w = 1.0 mm, both with negligible uncertainty, estimate τ and find the uncertainty in the estimate.

Step-by-Step Solution:

Solution :

Step 1 of 1:

The maximum shear stress of a cracked concrete member is

.

Where the maximum shear stress for a crack width of zero is .

Here  and w=1.0 mm.

A constant estimated from experimental data is k.

We assume that

Our goal is :

a). We need to find the uncertainty in the estimate.  

a).

Then the maximum shear stress of a cracked concrete member is

.

Now we have to find the estimated of the maximum shear stress is

We know that , and .

MPa

Therefore the estimated of the maximum shear stress is 35.5 MPa

Then we have to find the uncertainty in the estimate.

The uncertainty in the estimate bias correction is

Where .

Here we are differentiating with respect to k.

Then,

 

                

                

                

Therefore the uncertainty in the estimate is 2.5


Step 2 of 1

Chapter 3.2, Problem 12E is Solved
Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

Since the solution to 12E from 3.2 chapter was answered, more than 550 students have viewed the full step-by-step answer. This full solution covers the following key subjects: crack, width, shear, stress, uncertainty. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. The answer to “In the article “Influence of Crack Width on Shear Behaviour of SIFCON” (C. Fritz and H. Reinhardt, High Performance Fiber Reinforced Cement Composites: Proceedings of the International RILEM/ACI Workshop, 1992). the maximum shear stress ? of a cracked concrete member is given to be ? = ?0(l - k w), where ?0 is the maximum shear stress for a crack width of zero, wis the crack width in mm, and k is a constant estimated from experimental data. Assume k = 0.29 ± 0.05 mm-1. Given that ?0 = 50 MPa and w = 1.0 mm, both with negligible uncertainty, estimate ? and find the uncertainty in the estimate.” is broken down into a number of easy to follow steps, and 109 words. The full step-by-step solution to problem: 12E from chapter: 3.2 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM.

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

In the article “Influence of Crack Width on Shear