Ch.1 Problem 1.8 Solution - Edubirdie

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

2021
Views:

87

Pages:

1
Author:

Charlee Buchanan

PROBLEM 1.8 Knowing that the link DE is 81 in. thick and 1 in. wide, determine the normal stress in the central portion of that link when (a) θ = 0°, (b) θ = 90 °. SOLUTION Use member CEF as a free body. Σ M C = 0 : − 12 F DE − (8)(60 sin θ ) − (16)(60 cosθ ) = 0 FDE = − 40 sinθ − 80 cosθ lb. §1· ADE = (1) ¨ ¸ = 0.125 in.2 ©8¹ F DE = σ DE A DE (a) θ = 0: FDE = −80 lb. σDE = (b) −80 0.125 σ DE = −640 psi W θ = 90 °: FDE = −40 lb. σ DE = −40 0.125 σ DE = −320 psi W

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