998_Mechanics Homework Mechanics of Materials Solution

998_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: PROBLEM SOLUTION We enfcr H’Je given (Ct/0:5 of Vang! M om... from PIP-penalty C 7%; Values 6f 01, £55) £51..” 1) and 5 {or +118 31m? W'F shape. 8.Cl 8.61 Let us assume that the shear V and the bending moment M have been detemlined in a given section of a rolled-steel beam. Write a computer program to calculate in that section, from the data available in Appendix C, (a) the maximum normal stress 0,", (b) the principal stress on,“ at the junction of a flange and the web. Use this program to solve parts a and b of the following problems: (1) Prob. 8.1(Use V=400kNandM= IOOkN-m) (2) Prob. 8.2 (Use V = 200 [N and M = IOOkN ‘- m) (3) Prob. 8.3 (Use V = 320 kips and M = 32 X 103 kip ' in.) (4) Prob. 8.74. £2; “Al P59 GR 8M 007ml 5 Prob. 8.1 Given Data: V 400 kN, M = 100 kN.m d 252 mmT bf = 203 mm tf = 13.5 mm, tw = 8.6 mm I 87.30 (10"6 mm“4) S 693.0 (10"3 mm”3) Answers: (a) SIGA 144.3 MPa Q (b) SIGM 250.1 MPa 1% Prob. 8.3 Given Data: V 320 kips, M = 32000 kip.in. d 36.74 in., bf = 16.655 in. tf = 1.680 in., tw 0.945 in. I = 20300 in‘4, s = 1110 in“3 Answers: I (a) SIGA 28.8 ksi fl (b) SIGM 28.5 ksi «fl ' .1 are; Prob. 8.2 Given Data: v 200 kN, M = 100 kN.m d 252 mm, bf = 203 mm tf = 13.5 mm, tw =' 8.6 mm I 37.30 (10‘s mm“4) s 693.0 (10‘3 mm‘3) Answers: (a) SIGA 144.3 MPa 41 (b) SIGM 172.7 MPa <1 Prob. 8.74 Given Data: . ' V = 120 kips, M = 3600-k1p.1n. d = 21.36 in., bf = 12.290 in. tf = 0.800 in., tw m 0.500 in. I = 2420 inA4, S = 227 in“3 Answers: . (a) SIGA 15.86 ksi 48! (b) SIGM 19.76 ksi 4fib l {:1 r771 *4“? [ ...
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