Question

Question 2 Your answer is partially correct. Try again. The pin-connected structure shown in the figure consists of two cold-rolled steel [E = 29,800 ksi; a = 6.6 x 10-6/F) bars (1) and a bronze [E = 15,500 ks; a = 12.6 x 10-6/F] bar (2) that are connected at pin D. All three bars have cross- sectional areas of 1.375 in. Assume an initial geometry of a = 15 ft and b = 26 ft. A load of P = 44 kips is applied to the structure at pin D, and the temperature increases by 67°F. Calculate (a) the normal stresses (positive if tensile and negative if compressive) in bars (1) and (2). (b) the downward displacement of pin D. Answers: (a) 61 - 134.56 0; = 16.76 ksi (D) YO = 1415

Answer 1

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li= Sa+b = 30ft taka T , F2 ; T I honor i l2=6= 265t P = 44 kips, a = 15 ft, b =26ft, A = 1.315 in2 tano - 5 O= tant (26) = 60 z ty = 0 7 2 Fisine + F2-P = 0 - 0 -T S-a , 82-542 A₂E2 8 = si sino. F2 L2 – KE FILI A, E, sino (e. A = A E = 29, 500 ksi, E₂ = 15, 500ksi F (26) - F1 (30) 2560 29, 800x sinto F2 = 0oT Fi ean , From 2 Fisingo +0.7 Fi = P = 44 kips. 2.43 FI=44 Fi = 44 = 18.14kips. 2.43

F2 = 0.1% = 0.7X 18:1= 12.61 kips a) T - I - 1801 – 13.19 ksi 1.375 Az T1375 b) s. - F2L2 - 12 €7X 26x12 - 018154in ALE2 1.3154 15,500 0.185 in