The vertical displacement v of a cracked slurry infiltrated fiber concrete member at maximum shear stress is given by v = a + bw, 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?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter64: Volumes Of Spheres And Composite Solid Figures
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Problem 28A: Compute the number of cubic centimeters of material in the locating saddle shown. Round the answer...
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The vertical displacement v of a cracked slurry infiltrated fiber concrete member at maximum shear stress is given by v = a + bw, 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?

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ISBN:
9781337798310
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Peterson, John.
Publisher:
Cengage Learning,