Ch.1 Problem 1.4 Solution | Study Guide - Edubirdie

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

2021
Views:

55

Pages:

1
Author:

rezancuk2j

PROBLEM 1.4 In Prob. 1.3, knowing that P = 40 kips, determine the average normal stress at the midsection of (a) rod AB, (b) rod BC. 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 (a) Rod AB P = 40 kips (tension) A AB = σ AB (b) πd 2AB = π (2)2 4 4 P 40 = = 3.1416 AAB = 3.1416 in 2 σ AB = 12.73 ksi W Rod BC F = 40 − (2)(30) = −20 kips, i.e., 20 kips compression. ABC = σ BC π d 2BC = π (3) 2 4 4 −20 F = = ABC 7.0686 = 7.0686 in 2 σ BC = −2.83 ksi W

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