Explanation Given information: Mass of flower pot is m = 60 kg . Diameter of wire A B is 1.75 mm . Diameter of wire B C is 1.5 mm . Failure normal stress is σ n = 380 MPa . Concept used: Normal stress in the wire is given by using the formula of normal stress. σ n = F n A Factor of safety is calculated by using the formula: F O S = σ f a i l σ a l l o w a b l e Calculation: The force in member A B and B C is given by using Lami’s theorem. F A B sin 90 ° + 45 ° = F B C sin 90 ° + 60 ° = W sin 75 ° F A B cos 45 ° = F B C cos 60 ° = m g sin 75 ° From the above expression, the force in wire A B is given by: F A B cos 45 ° = m g sin 75 ° F A B = m g sin 75 ° × cos 45 ° = 60 kg × 9.81 m/s 2 0.9659 × 1 2 = 430.89 N Force in wire B C is given by: F B C cos 60 ° = m g sin 75 ° F B C = m g sin 75 ° × cos 60 ° F B C = 60 kg × 9.81 m/s 2 0

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ISBN: 9780137605521

Author: HIBBELER

Publisher: RENT PEARS

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Chapter 1.7, Problem 92P

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The factor of safety for wire AB and for wire BC .

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