Question

9-15. The state of stress at a point is shown on the element. Determine (a) the principal stresses and (b) the maximum in-plane shear stress and average normal stress at the point. Specify the orientation of the element in each case. 60 MPa 30 MPa 45 MPa Prob. 9-15 Formula: + Oy Oy sin 29 cos 20 + Try sin 20 et sin 20 + Tycos 20 What to find using MALLAB Write a MATLAB program to provide principle stresses and maximum in plane shear stress. Validate the result by solving problem 9-15. (Hard Coding)

Please make function file and answer

Answer 1

Fos principla stcessos the fotmulaa we Peinciple steess ray at ton2a 2y 2. Principla stressos- ( 4S-6o) ) t 52.5 302 - 7St Mpa 67.96 52.96 Mpa and tan2 2x DO 79° /4.87 20 CournleceDock) 2Q 2toT) MaxiMLm shear Stoess = ottan2 = 2 cesaary JCs+ 2০ 60. Ч66 Мра Max shaas stoes at anale tan2Q-(45-1-b0) 2 30 -30.1270 30127 clocRwise dion) nomd, chea৮ - () = ( CS lengMen veraae ) =- 5MpA CamScanner .
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Untitled3 abhilor.mX Untitled principleum x-4510 6; 2 y-6010 6 xy 30 106; prineplel (xy) / 2+sqrt ((x-y)/2) *2+ (xy) 2) princple2 (x+y)/2-sqrt ((-V ) / 2 ) ^ 2+ (xy) 2) Maxshear 3qrt (((x-y )/2)2+ (Xy ) 2) 5 I Seatmed-with CamScanner