Ch.1 Problem 1.61 Solution | Michigan State University - Edubirdie

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

2021
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471

Pages:

2
Author:

do3ran7ut

PROBLEM 1.61 For the assembly and loading of Prob. 1.60, determine (a) the average shearing stress in the pin at C, (b) the average bearing stress at C in member BC, (c) the average bearing stress at B in member BC. PROBLEM 1.60 Two horizontal 5-kip forces are applied to pin B of the assembly shown. Knowing that a pin of 0.8-in. diameter is used at each connection, determine the maximum value of the average normal stress (a) in link AB, (b) in link BC. SOLUTION Use joint B as free body. Law of Sines 10 F AB FBC = = sin 45° sin 60° sin 95° (a) Shearing stress in pin at C. F BC = 8.9658 kips F τ = BC 2AP π 4 d2 = π (0.8) 2 = 0.5026 in 2 4 8.9658 = 8.92 τ= (2)(0.5026) AP = τ = 8.92 ksi W PROBLEM 1.61 (Continued) (b) Bearing stress at C in member BC. σ b = FBC A A = td = (0.5)(0.8) = 0.4 in 2 σb = (c) Bearing stress at B in member BC. σ b = 8.9658 = 22.4 0.4 σ b = 22.4 ksi W FBC A A = 2 td = 2(0.5)(0.8) = 0.8 in 2 σb = 8.9658 = 11.21 0.8 σ b = 11.21 ksi W

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