Ch.1 Problem 1.37 Solution - Edubirdie

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

2021
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459

Pages:

1
Author:

ilikemyicons0y5

PROBLEM 1.37 Link BC is 6 mm thick, has a width w = 25 mm, and is made of a steel with a 480-MPa ultimate strength in tension. What was the safety factor used if the structure shown was designed to support a 16-kN load P? SOLUTION Use bar ACD as a free body and note that member BC is a two-force member. ΣM A = 0: (480) FBC − (600) P = 0 FBC = 600 (600)(16 × 103 ) = 20 × 103 N P= 480 480 FU = σ U A Ultimate load for member BC: 6 FU = (480 × 10 )(0.006)(0.025) = 72 × 103 N Factor of safety: F.S. = FU 72 × 10 3 = 3 FBC 20 × 10 F.S. = 3.60 W

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