Question
The rods AB and CD are made of steel having a failure tensile stress of O...
The rods AB and CD are made of steel having a failure tensile stress of O fail = 510 MPa. Using a factor of safety of F.S. = 1.75 for tension, determine their smallest diameter so that they can support the load shown. The beam is assumed to be pin connected at A and C. В. D 6 kN 5 kN 4 kN A C 4 2 m ----2m- -3 m -3 m Figure: 07_PROB_076
Answers
Erica Salution:- the free body diagram of system is shown in figure. i F.S = 1.75 Calcufating support reactions fail i 510 MPa FAB a fco 5KN - Alamam-4-3 m. 3m- Gt Mcto C -FAB (10) + 4(8) +6(6) +5(3) 50 FAB 8.3 KN Again (+ MA=0 Fco (10) - 5(7) -6(4) -4(2) = " FCD = 6.7 KN Therefore, for Rod AB fallow fail fis FAB Адв. 510 (N/mm2) 3 8.3 X10 (N) སྔ་ l. 75 I da 2 AB 4. :dag = 6:02 mm for Rod CD Tallow = rfail fis CD -> 510(N/mm2) 1.75 6+xid (N x de ACD 2 A 4 dao = 5:41 mm 1 Hence daR = 6:02 mm den = 5.41 mm
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