Ch.1 Problem 1.3 Solution - Edubirdie

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

2021
Views:

254

Pages:

1
Author:

gewoekerdodx

PROBLEM 1.3 Two solid cylindrical rods AB and BC are welded together at B and loaded as shown. Determine the magnitude of the force P for which the tensile stress in rod AB is twice the magnitude of the compressive stress in rod BC. SOLUTION AAB = σ AB π (2)2 = 3.1416 in2 4 P P = = AAB 3.1416 = 0.31831P ABC = σ BC π (3)2 = 7.0686 in2 4 (2)(30) − P = AAB = 60 − P = 8.4883 − 0.14147 P 7.0686 Equating σ AB to 2σ BC 0.31831 P = 2(8.4883 − 0.14147 P) P = 28.2 kips W

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