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263_Mechanics Homework Mechanics of Materials Solution

263_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 3.133 A 1.25-m-long steel angle has an L 127x 76 x 6.4 cross section. From Appendix C we find that the thickness of the section is 6.4 mm and that its area is 1252 mm2 . Knowing that IE" = 60 MPa, G = 77 GPa, and ignoring the effect of stress concentrations, determine (a) the largest torque T which may be applied, (b) the corresponding angle of twist. PROBLEM 3.133 SOLUTION b = GJ-I m». = 0.0064 in ”75.6; mm = 0.1956 In H .= ca: 3L("O'é3°%) = 0.3265 _ T . _ 3 TM”... Era-E: .. T - Clab 211a?- ca.) T40.3265)(0.l756)(0.006‘fl1(60xlo‘)= IJéfirrtog N-m = 1510 kN-m «2 (b) (P: TL. _ gab me_ crave; _ ’r L. .L gals-‘6" czabsG " (:sz ” be AM _ -2. A = 7 ., «a GP (0-006‘fK77x10“) - 152.10! no m 8. 2 3.134 A 3000 lb-in. torque is applied to a (Sufi-long steel angle with a L 4 x 4 x g PROBLEM 3.134 cross section. From Appendix C we find that the thickness of the section is 2 in. and that its area is 2.86 in2 . Knowing that G = 1 1.2 X 10" psi, determine (a) the maximum L4>< 4 x% SOLUTION shearing stress along line a-a, (b) the angle of twist. a t . .84 . a A =2.86 [.an b=-§-’-m=0.37§mJ Q=%=§€§? =7.627m. % = "32:35? : 20.3% a, = C2 : g0 — 0.43:: £1) = 0.3230 _ _.._I_. _. 3°°° _ s . . (0“) 214:)! A C. OLE?" '- (0.3230)(7-627)(0.375‘11 ‘- 8.£6 >40 PSI =' 8.6g k5] 4 = __fl__ :: ”MW—H : ways-wad“; 0"] {P CLQE'G (0.3230)L7.5273(o.37§)3m.2no") 4 —- 3.51 " ' ...
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