Ch.1 Problem 1.26 Solution | Study Guide - Edubirdie

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

2021
Views:

221

Pages:

1
Author:

Alma Stephenson

PROBLEM 1.26 Link AB, of width b = 50 mm and thickness t = 6 mm, is used to support the end of a horizontal beam. Knowing that the average normal stress in the link is − 140 MPa, and that the average shearing stress in each of the two pins is 80 MPa, determine (a) the diameter d of the pins, (b) the average bearing stress in the link. SOLUTION Rod AB is in compression. A = bt where b = 50 mm and t = 6 mm A = (0.050)(0.006) = 300 ×10 −6m 2 P = −σ A = −( −140 × 10 6)(300 ×10− 6) = 42 ×10 3N For the pin, Ap = Ap = ( a) 4 P τ and τ = d2 = P Ap 42 × 10 3 = 525 ×10 −6m 2 80 × 106 Diameter d d = ( b) π Bearing stress σb = 4Ap π = (4)(525 ×10 −6) π = 2.585 × 10 −3m 42 × 10 3 P = = 271 × 10 6 Pa dt (25.85 × 10− 3)(0.006) d = 25.9 mm W σ b = 271 MPa W

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