Ch.1 Problem 1.59 Solution | Michigan State University - Edubirdie

University:
Michigan State University
Course:
ERG 100 | Introduction to Engineering Design
Academic year:

2021
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253

Pages:

1
Author:

do3ran7ut

PROBLEM 1.59 A strain gage located at C on the surface of bone AB indicates that the average normal stress in the bone is 3.80 MPa when the bone is subjected to two 1200-N forces as shown. Assuming the cross section of the bone at C to be annular and knowing that its outer diameter is 25 mm, determine the inner diameter of the bone’s cross section at C. SOLUTION σ = Geometry: A= π 4 P A ∴ A= P σ (d12 − d 22 ) d 22 = d 12 − 4A π = d 12 − d 22 = (25 × 10 −3 )2 − 4P πσ (4)(1200) π (3.80 × 106 ) = 222.9 × 10−6 m2 − d2 = 14.93 × 10 3m d 2 = 14.93 mm W

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