Ch.1 Problem 1.48 Solution | Michigan State University - Edubirdie

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

2021
Views:

325

Pages:

1
Author:

Charlee Buchanan

PROBLEM 1.48 Three 18-mm-diameter 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 and that the ultimate shearing stress for the steel used is 360 MPa, determine the factor of safety for this design. SOLUTION For each bolt, A= π 4 d2 = π 4 (18) 2 = 254.47 mm 2 = 254.47 × 10 − 6m 2 PU = AτU = (254.47 × 10−6 )(360 × 106 ) = 91.609 × 103 N For the three bolts, PU = (3)(91.609 × 10 3) = 274.83 × 10 3N Factor of safety: F. S. = PU 274.83 × 103 = P 110 × 10 3 F. S . = 2.50 W

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