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29_Mechanics Homework Mechanics of Materials Solution

29_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 1.39 Member ABC, which is supported by a pin and bracket at (‘ and a cable 813. was designed to support the 4—kip load P as shown. Knowing that the ultimate load for cable 80 is 25 kips, determine the factor of safety with respect to cable faiiure. PROBLEM 1.39 SOLUTION 058 member ABC as at A 5Fv~ee hack, and inch Hewl- mem bar 81) is a. +we-'Fov~c.e member. ZMCr—O {p m «to-H301...) + (13 sin40°)(l5iu.) — LFen Cc; 30°)(l5 In) : ~(F'eb sin 30')(,|'2 in) '= O ; Fab = 31.:23 P = (32.623209) = _ team: @5190 6'8”: Ml” l Foch» o'l: $41-de £34” mile 30 ES. = Elf: '—' Gifts? = 3.0+ -‘ 1.40 Knowing that the ultimate load for cable ED is 25 kips and that a factor of safety of 3.2 with respect to cable failure is required, determine the magnitude of the largest force P which can be safely applied as shown to member ABC. PROBLEM 1.40 SOLUTION Use member ABC a50- Free. bod?! anal moi-9 ‘Hm‘i‘ Member 80 is a. Wei-Force men he». ZMC=0 “3°35 40°)(30 3“) +(F’sa‘n 40°lti5' M 4F” cos 30°)(Js‘;n\ " (Fab St‘n 30° )(l? in) :’ O __ t8.°fio _ P - W FED - 9.58216 F39 f AWowdzJ’e Poo.) Vow niem'lo'ér BD '7: F33 = 'E”? = %: 7.8125“ka Minus-chic foul P =(o.582lcl(7.8125) -.- 4.5: MP; .4 ...
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