Ch.1 Problem 1.65 Solution | Michigan State University - Edubirdie

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

2021
Views:

59

Pages:

1
Author:

Prince Sampson

PROBLEM 1.65 Member ABC, which is supported by a pin and bracket at C and a cable BD, was designed to support the 16-kN load P as shown. Knowing that the ultimate load for cable BD is 100 kN, determine the factor of safety with respect to cable failure. SOLUTION Use member ABC as a free body, and note that member BD is a two-force member. Σ M c = 0 : ( Pcos 40 °)(1.2) + ( Psin 40 °)(0.6) − ( FBD cos 30 °)(0.6) − ( FBD sin 30 °)(0.4) = 0 1.30493 P − 0.71962 FBD = 0 F BD = 1.81335 P = (1.81335)(16 × 103 ) = 29.014 × 103 N FU = 100 × 10 3N F. S . = FU 100 × 103 = FBD 29.014 × 10 3 F. S. = 3.45 W

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