Ch.1 Problem 1.47 Solution - Edubirdie

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

2021
Views:

459

Pages:

1
Author:

Alma Stephenson

PROBLEM 1.47 Three steel bolts are to be used to attach the steel plate shown to a wooden beam. Knowing that the plate will support a 110-kN load, that the ultimate shearing stress for the steel used is 360 MPa, and that a factor of safety of 3.35 is desired, determine the required diameter of the bolts. SOLUTION 110 = 36.667 kN 3 For each bolt, P= Required: PU = ( F. S.) P = (3.35)(36.667) = 122.83 kN τU = d = PU P 4PU = U2 = π d A d2 π 4 4PU πτ U = (4)(122.83 × 103 ) = 20.8 × 10 −3 m π (360 × 106 ) d = 20.8 mm W

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