Question

Problem No. 5 (Figure 5) Using Mohr's circle determine the following: (i) Maximum principle stresses (σ1 and σ2) (i) Maximum shear stress (Tmax) (iii) Orientation of principle axis (%) (iv) Orientation of Tmax (0s) (v) Determine σ' and σ' for θ 15. clockwise rotation (vi) Sketch the state of stress for case- (ii) (vii) Sketch the state of stress for case- (iv) Figure 5 2 ksi 2 ksi 4 ksi

Answer 1

olution The ginen sta 2 kSi 2ksí t ksi 4ksi B で一2ksi Ksi 2 ksi evelopement of ohr's cirele Scale: icm ksi B (-2, 2) 2. 2. こ (4.5,0) 未)Local. Poina A and B a lina betueen Aand B which u taken as sutorunce ine ban line 3) Locali cenbu Mohr's circle as anu Drau, a circle with the diame AB スナ"y Centu Mohrs circle at cー(デ

From Mohr's circle P and P2 au Maja R Mino Ariniple inciple stren σί 4.6 ksi 2 (1) Maxima m Shaanstren“ (Tmax):- By drawin draoring a veni ca diamaliun through circle centu and nolify nedhon Point with Mohr's ci shea plan o) 。 (リー3.6) 4-2 '-3.61) 361)(1,3.6 cii) Orientalien Pinoipe axis Cop anuus ce unde el AC andcP as θ from Mohr's circle 39 Obvenve angle blw By measuu : 35 + 180230 2 ev) Orientalion Maruimum shuon strem ces Obreve By maasweiną from Mohr's cicle 57