min[0.30(55), 0.40(30)] min(16.5, 12.0) 12.0 kpsi
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1 9-10 Table A-0: 100 CD: S ut = 68 kpsi, S = 57 kpsi 100 HR: S ut = 55 kpsi, S = 0 kpsi Cold-rolled properties degrade to hot-rolled properties in the neighborhood of the weld. Table 9-4: all min(0.0 Sut, 0.40 S) min[0.0(55), 0.40(0)] min(16.5, 1.0) 1.0 kpsi for both materials. Eq. (9-): F = 0.707hl all = 0.707(5/16)[()](1.0) = 10.6 kip Ans.
2 9-17 b = d =50 mm, c = 150 mm, h = 5 mm, and allow = 140 MPa. (a) Primar shear, Table 9-1, Case (Note: b and d are interchanged between problem figure and table figure. Note, also, F in kn and in MPa): V F 10.89F A Secondar shear, Table 9-1: J u d b d mm 6 6 J = h J u = 0.707(5)(8.)(10 ) = 94.6(10 ) mm 4 Mr 175F 10 5 x 14.85F J x F F (1) allow 140 F 6.06 kn Ans..1.1 (b) For E7010 from Table 9-6, allow = 1 kpsi = 1(6.89) = 145 MPa 100 HR bar: S ut = 80 MPa, S = 10 MPa 1015 HR support: S ut = 40 MPa, S = 190 MPa Table 9-, E7010 Electrode: S ut = 48 MPa, S = 9 MPa The support controls the design. Table 9-4: allow = min(0.0s ut, 0.40S ) =min[0.0(40), 0.40(190) = min(10, 76) = 76 MPa The allowable load, from Eq. (1) is allow 76 F.9 kn Ans..1.1
3 9- Given, b = in, c = 6 in, d = in, h = 5/16 in, allow = 5 kpsi. Primar shear: Secondar shear: Table 9-1: Maximum shear: V F F A /16 bd Ju in 6 6 J = h J u = 0.707(5/16)10.67 =.57 in 4 Mr 7 F(1) x.970f J.57 x F F allow 5 F 5.41 kip Ans
4 9-45 F = kip, T = 15 kipin. Bending: Table 9-: A = h r = (1/4)(1) = in Torsion: I u = r = (1) =.14 in, I = 0.707(1/4).14 = in 4 V 1.80 kpsi A Mr 1.6 kpsi M I Table 9-1: J u = r = (1) = 6.8 in, J = 0.707(1/4) 6.8 = in Tr 1.5 kpsi T J 1.111
5 Ans M T kpsi.
6 9-5 In the textbook, Fig. Problem 9-5b is a free-bod diagram of the bracket. Forces and moments that act on the welds are equal, but of opposite sense. (a) M = 100(0.66) = 49 lbf in Ans. (b) F = 100 sin 0 = 600 lbf Ans. (c) F x = 100 cos 0 = 109 lbf Ans. (d) From Table 9-, case 6: A 1.414(0.5)(0.5.5) 0.97 in d.5 Iu ( b d) [(0.5).5].9 in 6 6 The second area moment about an axis through G and parallel to z is I 0.707hI (0.5)(.9) in Ans. u (e) Refer to Fig. Problem 9-5b. The shear stress due to F is F A psi The shear stress along the throat due to F x is F x psi A 0.97 The resultant of 1 and is in the throat plane
7 psi The bending of the throat gives Mc 49(1.5) I psi The imum shear stress is psi Ans. (f) Materials: 1018 HR Member: S = kpsi, S ut = 58 kpsi (Table A-0) E6010 Electrode: S = 50 kpsi (Table 9-) n Ss 0.577S 0.577() 1.0 A ns (g) Bending in the attachment near the base. The cross-sectional area is approximatel equal to bh. A1 bh 0.5(.5) 0.65 in Fx 109 x 166 psi A I bd 0.5(.5) 0.60 in c 6 6 At location A, F M A1 I / c psi The von Mises stress is x 648 (166) 91 psi Thus, the factor of safet is, S n 8.18 Ans..91 The clip on the mooring line bears against the side of the 1/-in hole. If the clip fills the hole
8 F psi td 0.5(0.50) S (10 ) n. Ans Further investigation of this situation requires more detail than is included in the task statement. (h) In shear fatigue, the weakest constituent of the weld melt is 1018 HR with S ut = 58 kpsi, Eq. (6-8), p. 8, gives S e 0.504S 0.504(58) 9. kpsi ut Eq. (6-19), p. 87: k a = 14.4(58) = For the size factor estimate, we first emplo Eq. (6-5), p. 89, for the equivalent diameter d hb (.5)(0.5) 0.57 in e Eq. (6-0), p. 88, is used next to find k b k b de Eq.(6-6), p. 90: k c = 0.59 From Eq. (6-18), p. 87, the endurance strength in shear is S se = 0.780(0.940)(0.59)(9.) = 1.6 kpsi From Table 9-5, the shear stress-concentration factor is K f s =.7. The loading is repeatedl-applied 1.57 a m K f s.7.07 kpsi Table 6-7, p. 07: Gerber factor of safet n f, adjusted for shear, with S su = 0.67S ut 1S su a m S se n f 1 1 m Sse Ssua (58).07 (.07)(1.6) Ans (58)(.07) Attachment metal should be checked for bending fatigue.
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Chapter 9. Figure for Probs. 9-1 to Given, b = 50 mm, d = 50 mm, h = 5 mm, τ allow = 140 MPa.
Chapter 9 Figure for Probs. 9-1 to 9-4 9-1 Given, b 50 mm, d 50 mm, h 5 mm, ow 140 MPa. F 0.707 hl ow 0.707(5)[(50)](140)(10 ) 49.5 kn Ans. 9- Given, b in, d in, h 5/16 in, ow 5 kpsi. F 0.707 hl ow 0.707(5/16)[()](5).1
More informationChapter 9. Figure for Probs. 9-1 to Given, b = 50 mm, d = 50 mm, h = 5 mm, allow = 140 MPa.
Capter 9 Figure for Probs. 9-1 to 9-4 9-1 Given, b = 50 mm, d = 50 mm, = 5 mm, allow = 140 MPa. F = 0.707 l allow = 0.707(5)[(50)](140)(10 ) = 49.5 kn Ans. 9- Given, b = in, d = in, = 5/16 in, allow =
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budynas_sm_c09.qxd 01/9/007 18:5 Page 39 Capter 9 9-1 Eq. (9-3: F 0.707lτ 0.707(5/1(4(0 17.7 kip 9- Table 9-: τ all 1.0 kpsi f 14.85 kip/in 14.85(5/1 4.4 kip/in F fl 4.4(4 18.5 kip 9-3 Table A-0: 1018
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