Ch.1 Problem 1.23 Solution | Study Guide - Edubirdie

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

2021
Views:

123

Pages:

1
Author:

rezancuk2j

PROBLEM 1.23 A 85 -in.-diameter steel rod AB is fitted to a round hole near end C of the wooden member CD. For the loading shown, determine (a) the maximum average normal stress in the wood, (b) the distance b for which the average shearing stress is 100 psi on the surfaces indicated by the dashed lines, (c) the average bearing stress on the wood. SOLUTION (a) Maximum normal stress in the wood 5 A net = (1) §¨ 4 − ·¸ = 3.375 in. 2 8¹ © P 1500 = = 444 psi σ = Anet 3.375 (b) σ = 444 psi W Distance b for τ = 100 psi For sheared area see dotted lines. P P = A 2bt P 1500 b= = = 7.50 in. 2tτ (2)(1)(100) τ= (c) b = 7.50 in. W Average bearing stress on the wood σb = 1500 P P = = = 2400 psi Ab dt § 5 · ¨ 8 ¸ (1) © ¹ σ b = 2400 psi W

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