Question

Problems 27, 28, & 29 The stress on an element is shown 8 ksi 10 ksi 6 ksi Problem 27 Which Mohr's Circle correctly describes the state of stress? (a) (b) (c) -10 ksi 0 5 ksi 10 ksi 15 ksi -10 ksi -5 ksi 0 S ksi 10 ksi - 10 ksi - ksi 0 S ksi 10 ksi -10 -10 -10 s G 0 (ksi) (ksi) 0 (ksi) 5 5 S 10 - 10 - 10 τ (ksi) T (ksi) τ (ksi) (d) None of the above Problem 28 Determine the maximum in-plane shear stress. a) 6.08 ksi b) 9.82 ksi c) 11.82 ksi d) 10.82 ksi e) None of the above Problem 29 Determine the principal stresses. a) 6.08 ksi and -6.08 ksi b) 9.82 ksi and -11.82 ksi c) 11.82 ksi and -9.82 ksi d) 10.82 ksi and -10.82 ksi e) None of the above

Answer 1

Given у I oksi — 10 ust oksi 6. – 6, Yrry г 10 usi 8 usi — Оксі 2 .. Centre - ( * * +0 , о) 2 ) ( то - 8 ) О о) - (1, 0) Radius = (**-б») + та

(1048 +1.68 = 10-82 ksi .. prob 27 option (e) is right Prob 28 The maximum in plane shear stress Tmax - porror 1 or 18x-og 5 + ray Ymax a 10.82 ksi option (d) is right Prob 29 The Principal stress 61,25 oxtoy pore-by + trung = 1 + 10.82 :: 6,= 11.82 ksi 62= 9.82 ksi option (C) is right.