Theory and Design for Mechanical Measurements
Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Chapter 5, Problem 5.58P

A geometric stress concentration factor, K,, is used to relate the actual maximum stress to a well- defined nominal stress in a structural member. The maximum stress is given by = K,ao, where amaM represents the maximum stress and o represents the nominal stress. The nominal stress is most often stated at the minimum cross section.

Chapter 5, Problem 5.58P, A geometric stress concentration factor, K,, is used to relate the actual maximum stress to a well- , example  1Chapter 5, Problem 5.58P, A geometric stress concentration factor, K,, is used to relate the actual maximum stress to a well- , example  2

Consider the axial loading shown in Figure 5.9, where the structural member is in axial tension and experiences a stress concentration as a result of a trans-verse hole. In this geometry, o0 = F/A, where area A = (w — d)t. If d = 0.5 w, then K, = 2.2. Suppose F = 10.0(X) ± 500 N, w = 1.5 ± 0.02 cm, t = 0.5 ± 0.02 cm, and the uncertainty in the value for d is 3%. Neglecting the uncertainty in stress concentration Factor, determine the uncertainty in the maximum stress experienced by this part.

Figure 5.9 Structural member discussed in Problem 5.58.

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Chapter 5 Solutions

Theory and Design for Mechanical Measurements

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